Abstract

We demonstrated trapping two neutral 87Rb atoms in a two site optical ring lattice generated by reflecting a single laser beam from a computer controlled spatial light modulator directly. The ring lattice was transformed into a Gaussian trap by dynamically displaying the holograms animation movie on the modulator. The trapped atoms follow the evolution of traps and move into the same microscopic dipole trap at the end. The detected success rate of this manipulation is larger than 90%. Under imposing the near resonance light, we observed strong light-induce collision between two atoms.

© 2010 Optical Society of America

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  1. D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
    [CrossRef] [PubMed]
  2. N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
    [CrossRef] [PubMed]
  3. D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
    [CrossRef] [PubMed]
  4. Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
    [CrossRef] [PubMed]
  5. J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
    [CrossRef]
  6. D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
    [CrossRef]
  7. T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
    [CrossRef]
  8. D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
    [CrossRef] [PubMed]
  9. L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
    [CrossRef] [PubMed]
  10. T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
    [CrossRef] [PubMed]
  11. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
    [CrossRef] [PubMed]
  12. A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
    [CrossRef] [PubMed]
  13. T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
    [CrossRef]
  14. Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
    [CrossRef]
  15. X. D. He, P. Xu, J. Wang, and M. S. Zhan, “Rotating single atoms in a ring lattice generated by a spatial light modulator,” Opt. Express 17, 21007–21014 (2009).
    [CrossRef] [PubMed]
  16. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
    [CrossRef] [PubMed]
  17. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
    [CrossRef]
  18. M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
    [CrossRef]
  19. M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” Pure Appl. Opt. 6, 259 (2004).
    [CrossRef]
  20. G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
    [CrossRef]
  21. J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
    [CrossRef]
  22. K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
    [CrossRef] [PubMed]
  23. C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
    [CrossRef]
  24. A. Gallagher, and D. E. Pritchard, “Exoergic collisions of cold Na*-Na,” Phys. Rev. Lett. 63, 957–960 (1989).
    [CrossRef] [PubMed]
  25. J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
    [CrossRef]
  26. C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
    [CrossRef] [PubMed]
  27. A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
    [CrossRef]
  28. T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
    [CrossRef] [PubMed]

2010 (2)

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

2009 (3)

G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
[CrossRef]

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

X. D. He, P. Xu, J. Wang, and M. S. Zhan, “Rotating single atoms in a ring lattice generated by a spatial light modulator,” Opt. Express 17, 21007–21014 (2009).
[CrossRef] [PubMed]

2008 (4)

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

2007 (2)

M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
[CrossRef]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

2006 (3)

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

2005 (1)

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

2004 (2)

M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” Pure Appl. Opt. 6, 259 (2004).
[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

2003 (1)

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

2001 (1)

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
[CrossRef] [PubMed]

2000 (3)

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

1999 (2)

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

1997 (1)

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

1992 (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[CrossRef] [PubMed]

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

1989 (1)

A. Gallagher, and D. E. Pritchard, “Exoergic collisions of cold Na*-Na,” Phys. Rev. Lett. 63, 957–960 (1989).
[CrossRef] [PubMed]

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[CrossRef] [PubMed]

Alt, W.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Anzolin, G.

G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
[CrossRef]

Bagnato, V. S.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Barbieri, C.

G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
[CrossRef]

Bauer, D. M.

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[CrossRef] [PubMed]

Berry, M. V.

M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” Pure Appl. Opt. 6, 259 (2004).
[CrossRef]

Beugnon, J.

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Bianchini, A.

G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
[CrossRef]

Bingham, N. S.

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

Bloch, I.

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

Briegel, H.-J.

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

Browaeys, A.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Calarco, T.

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

Cirac, J. I.

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

Cote, R.

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

DeAngelo, M. K.

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

Deng, L.

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

Dinneen, T. P.

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

Dotsenko, I.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

Dürr, S.

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Evellin, C.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

Folling, S.

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

Forster, L.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

Förster, L.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

Frese, D.

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Gaetan, A.

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Gallagher, A.

A. Gallagher, and D. E. Pritchard, “Exoergic collisions of cold Na*-Na,” Phys. Rev. Lett. 63, 957–960 (1989).
[CrossRef] [PubMed]

Gardiner, C. W.

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

Gätan, A.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

Gerbier, F.

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

Gericke, T.

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

Gill, A. T.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

Gomer, V.

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Gorges, A. R.

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

Gould, P. L.

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

Grangier, P.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
[CrossRef] [PubMed]

Greiner, M.

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

Groblacher, S.

M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
[CrossRef]

Grove, T. T.

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

Hagley, E. W.

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

Hamilton, M. S.

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

Hansch, T. W.

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

Hansis, E.

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

He, X. D.

Henage, T.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Hinds, E. A.

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

Hirano, T.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Isenhower, L.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Jaksch, D.

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

Jennewein, T.

M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
[CrossRef]

Johnson, T. A.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Jones, M. P. A.

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Julienne, P. S.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Khudaverdyan, M.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

Kuga, T.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Kuhr, S.

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Lance, A. M.

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Li, K.

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

Li, R. B.

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

Liu, M.

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

Lukin, M. D.

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

Mandel, O.

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

Marion, H.

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Meschede, D.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Messin, G.

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Miroshnychenko, Y.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

Payne, M. G.

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

Pritchard, D. E.

A. Gallagher, and D. E. Pritchard, “Exoergic collisions of cold Na*-Na,” Phys. Rev. Lett. 63, 957–960 (1989).
[CrossRef] [PubMed]

Protsenko, I.

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
[CrossRef] [PubMed]

Rauschenbeutel, A.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

Reick, S.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

Rempe, G.

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Reymond, G.

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
[CrossRef] [PubMed]

Roberts, J. L.

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

Rolston, S. L.

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

Rom, T.

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

Saffman, M.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Sasada, H.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Schlosser, N.

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
[CrossRef] [PubMed]

Schmiedmayer, J.

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

Schrader, D.

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Shimizu, Y.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Shiokawa, N.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Sortais, Y. R. P.

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[CrossRef] [PubMed]

Stutz, M.

M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
[CrossRef]

Syassen, N.

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Tamburini, F.

G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
[CrossRef]

Tan, K. Y. N.

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

Torii, Y.

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Tuchendler, C.

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

Uberholz, B.

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

Urban, E.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Volz, T.

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Walker, T. G.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Wallace, C. D.

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

Wang, J.

X. D. He, P. Xu, J. Wang, and M. S. Zhan, “Rotating single atoms in a ring lattice generated by a spatial light modulator,” Opt. Express 17, 21007–21014 (2009).
[CrossRef] [PubMed]

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

Weiner, J.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Widera, A.

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

Wilk, T.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[CrossRef] [PubMed]

Wolters, J.

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

Xu, P.

Yavuz, D. D.

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

Zeilinger, A.

M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
[CrossRef]

Zhan, M. S.

X. D. He, P. Xu, J. Wang, and M. S. Zhan, “Rotating single atoms in a ring lattice generated by a spatial light modulator,” Opt. Express 17, 21007–21014 (2009).
[CrossRef] [PubMed]

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

Zhang, X. L.

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

Zhou, L.

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

Zilio, S.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Zoller, P.

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

Appl. Phys. Lett. (1)

M. Stutz, S. Groblacher, T. Jennewein, and A. Zeilinger, “How to create and detect N-dimensional entangled photons with an active phase hologram,” Appl. Phys. Lett. 90, 261114 (2007).
[CrossRef]

Front. Phys. China (1)

J. Wang, L. Zhou, R. B. Li, M. Liu, and M. S. Zhan, “Cold atom interferometers and their applications in precision measurements,” Front. Phys. China 4, 179–189 (2009).
[CrossRef]

Nat. Phys. (2)

J. Beugnon, C. Tuchendler, H. Marion, A. Gaetan, Y. Miroshnychenko, Y. R. P. Sortais, A. M. Lance, M. P. A. Jones, G. Messin, A. Browaeys, and P. Grangier, “Two-dimensional transport and transfer of a single atomic qubit in optical tweezers,” Nat. Phys. 3, 696–699 (2007).
[CrossRef]

T. Volz, N. Syassen, D. M. Bauer, E. Hansis, S. Dürr, and G. Rempe, “Preparation of a quantum state with one molecule at each site of an optical lattice,” Nat. Phys. 2, 692–695 (2006).
[CrossRef]

Nature (2)

N. Schlosser, G. Reymond, I. Protsenko, and P. Grangier, “Sub-poissonian loading of single atoms in a microscopic dipole trap,” Nature 411, 1024–1027 (2001).
[CrossRef] [PubMed]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Forster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, “Quantum engineering: An atom-sorting machine,” Nature 442, 151 (2006).
[CrossRef] [PubMed]

Opt. Express (1)

Phys. Rev. A (5)

C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, “Energy distribution and cooling of a single atom in an optical tweezer,” Phys. Rev. A 78, 033425 (2008).
[CrossRef]

G. Anzolin, F. Tamburini, A. Bianchini, and C. Barbieri, “Method to measure off-axis displacements based on the analysis of the intensity distribution of a vortex beam,” Phys. Rev. A 79, 033845 (2009).
[CrossRef]

A. R. Gorges, N. S. Bingham, M. K. DeAngelo, M. S. Hamilton, and J. L. Roberts, “Light-assisted collisional loss in an Rb-85/87 ultracold optical trap,” Phys. Rev. A 78, 033420 (2008).
[CrossRef]

T. Calarco, E. A. Hinds, D. Jaksch, J. Schmiedmayer, J. I. Cirac, and P. Zoller, “Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps,” Phys. Rev. A 61, 022304 (2000).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[CrossRef] [PubMed]

Phys. Rev. Lett. (14)

T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, “Novel Optical Trap of Atoms with a Doughnut Beam,” Phys. Rev. Lett. 78, 4713–4716 (1997).
[CrossRef]

Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, S. Reick, and A. Rauschenbeutel, “Inserting Two Atoms into a Single Optical Micropotential,” Phys. Rev. Lett. 97, 243003 (2006).
[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).
[CrossRef]

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Cote, and M. D. Lukin, “Fast Quantum Gates for Neutral Atoms,” Phys. Rev. Lett. 85, 2208–2211 (2000).
[CrossRef] [PubMed]

L. Isenhower, E. Urban, T. Henage, X. L. Zhang, A. T. Gill, T. A. Johnson, T. G. Walker, and M. Saffman, “Demonstration of a neutral atom controlled-NOT quantum gate,” Phys. Rev. Lett. 104, 010503 (2010).
[CrossRef] [PubMed]

T. Wilk, A. Gätan, C. Evellin, J. Wolters, Y. Miroshnychenko, P. Grangier, and A. Browaeys, “Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade,” Phys. Rev. Lett. 104, 010502 (2010).
[CrossRef] [PubMed]

O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hansch, and I. Bloch, “Coherent transport of neutral atoms in spin-dependent optical lattice potentials,” Phys. Rev. Lett. 91, 010407 (2003).
[CrossRef] [PubMed]

A. Widera, F. Gerbier, S. Folling, T. Gericke, O. Mandel, and I. Bloch, “Coherent Collisional Spin Dynamics in Optical Lattices,” Phys. Rev. Lett. 95, 190405 (2005).
[CrossRef] [PubMed]

D. Frese, B. Uberholz, S. Kuhr, W. Alt, D. Schrader, V. Gomer, and D. Meschede, “Single atoms in an optical dipole trap: Towards a deterministic source of cold atoms,” Phys. Rev. Lett. 85, 3777 (2000).
[CrossRef] [PubMed]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral Atom Quantum Register,” Phys. Rev. Lett. 93, 150501 (2004).
[CrossRef] [PubMed]

T. A. Johnson, E. Urban, T. Henage, L. Isenhower, D. D. Yavuz, T. G. Walker, and M. Saffman, “Rabi Oscillations between Ground and Rydberg States with Dipole-Dipole Atomic Interactions,” Phys. Rev. Lett. 100, 113003 (2008).
[CrossRef] [PubMed]

C. D. Wallace, T. P. Dinneen, K. Y. N. Tan, T. T. Grove, and P. L. Gould, “Isotopic difference in trap loss collisions of laser cooled rubidium atoms,” Phys. Rev. Lett. 69, 897–900 (1992).
[CrossRef] [PubMed]

A. Gallagher, and D. E. Pritchard, “Exoergic collisions of cold Na*-Na,” Phys. Rev. Lett. 63, 957–960 (1989).
[CrossRef] [PubMed]

K. Li, L. Deng, E. W. Hagley, M. G. Payne, and M. S. Zhan, “Matter-wave self-imaging by atomic center-of-mass motion induced interference,” Phys. Rev. Lett. 101, 250401 (2008).
[CrossRef] [PubMed]

Pure Appl. Opt. (1)

M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” Pure Appl. Opt. 6, 259 (2004).
[CrossRef]

Rev. Mod. Phys. (1)

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

(color online) The traps with l = 1 (left), l = 0 (right) and their holograms. (a) is observed optical intensity distribution of the traps, a pixel represents 1µm. (b) is the corresponding gray-level holograms with 600 × 600 pixels. ROI stands for the region of interest.

Fig. 2.
Fig. 2.

(color online) Transformation between the double well and the single Gaussian trap. (a) and (b) are the numerical calculation of coherent transformation progress described by Eq. (4) and go to η-intensity view and η-position view respectively.(c) and (d) are image data reconstruction captured from the region of interest, (c) goes to time-intensity view, and (d) is a pixel-time view. The arrow indicates the starting and ending time of the transformation process.

Fig. 3.
Fig. 3.

(color online) Observed fluorescence of single atoms. Each point corresponds to a 20 ms time bin. Shown in (a) is the fluorescence signal from the whole two traps in the double well ring lattice. (b) is the fluorescence signal from atom in the single Gaussian trap. (c) is the accumulated fluorescence signal from single trap after two atoms trapped in the ring lattice being injected into single trap, total 200 shots in the signal, 3 points in each shot. (d) is the the accumulated fluorescence signal from single trap after single atoms trapped in either part of the ring lattice being inserted into the single trap, total 200 shots in the data, 3 points for each shot.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

I l = I 2 π l ! ( 2 r w ) 2 l exp ( 2 r 2 w 2 ) ( 2 + 2 cos ( 2 l ϕ ) ,
mod [ angle [ LG ( x , y , l , z , w 0 , z R ) + LG ( x , y , l , z , w 0 , z R ) ] + x · k x , 2 π ] · 256 2 π ,
u l ( r , ϕ ) = c 0 i l π 3 2 2 w 0 2 e i l ϕ e r 2 8 w 0 2 r 2 w 0 [ I ( l 1 ) 2 ( r 2 8 w 0 2 ) I ( l + 1 ) 2 ( r 2 8 w 0 2 ) ] .
I ( η ) l = ( 1 η ) [ u 1 ( r , ϕ ) + u 1 ( r , ϕ ) ] + 2 η u 0 ( r , ϕ ) 2 ,
P surv ( ρ ) = 1 ( 1 + ρ + 0.5 ρ 2 ) e ρ ,

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