Abstract

We propose a versatile optical ring lattice suitable for trapping cold and quantum degenerate atomic samples. We demonstrate the realisation of intensity patterns from pairs of Laguerre-Gauss (exp(iℓθ)) modes with different l indices. These patterns can be rotated by introducing a frequency shift between the modes. We can generate bright ring lattices for trapping atoms in red-detuned light, and dark ring lattices suitable for trapping atoms with minimal heating in the optical vortices of blue-detuned light. The lattice sites can be joined to form a uniform ring trap, making it ideal for studying persistent currents and the Mott insulator transition in a ring geometry.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
  3. F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
    [CrossRef] [PubMed]
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    [CrossRef]
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  12. J. E. Curtis, B. A. Koss and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
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  17. C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
    [CrossRef]
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    [CrossRef]
  20. M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
    [CrossRef]
  21. B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave retardation plate," Opt. Commun. 31, 1-3 (1979).
    [CrossRef]
  22. R. Simon, H. J. Kimble and E. C. G. Sundarshan, "Evolving geometric phase and its dynamic manifestation as a frequency shift - an optical experiment," Phys. Rev. Lett. 61, 19 (1988).
    [CrossRef] [PubMed]
  23. J. Arlt, M. MacDonald, L. Paterson, W. Sibbett, K. Dholakia and K. Volke-Sepulveda, "Moving interference patterns created using the angular Doppler-effect," Opt. Express 10, 844-852 (2002).
    [PubMed]
  24. V. Yu. Bazhenov, M. V. Vasnetsov and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).
  25. J. Leach, M. Dennis, J. Courtial and M. Padgett, "Knotted threads of darkness," Nature 432, 165 (2004).
    [CrossRef] [PubMed]
  26. C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
    [CrossRef]
  27. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
    [CrossRef] [PubMed]

2007

D. R. Scherer, C. N. Weiler, T. W. Neely and B. P. Anderson, "Vortex formation by merging of multiple trapped Bose-Einstein condensates," Phys. Rev. Lett. 98, 110402 (2007).
[CrossRef] [PubMed]

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

2005

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

L. Amico, A. Osterloh and F. Cataliotti, "Quantum many particle systems in ring-shaped optical lattices," Phys. Rev. Lett. 95, 063201 (2005).
[CrossRef] [PubMed]

2004

2003

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

2002

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

J. E. Curtis, B. A. Koss and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
[CrossRef]

J. Arlt, M. MacDonald, L. Paterson, W. Sibbett, K. Dholakia and K. Volke-Sepulveda, "Moving interference patterns created using the angular Doppler-effect," Opt. Express 10, 844-852 (2002).
[PubMed]

2001

S. Kuhr, W. Alt, D. Schrader, M. Muller, V. Gomer and D. Meschede, "Deterministic delivery of a single atom," Science 293, 278-280 (2001).
[CrossRef] [PubMed]

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

1998

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

1997

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

1996

P. S. Jessen and I. H. Deutsch, "Optical lattices," Adv. At., Mol., Opt. Phys. 37, 95-138 (1996).
[CrossRef]

1995

M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
[CrossRef]

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

1994

M. Harris, C. A. Hill and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161-166 (1994).
[CrossRef]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

1990

V. Yu. Bazhenov, M. V. Vasnetsov and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).

1988

R. Simon, H. J. Kimble and E. C. G. Sundarshan, "Evolving geometric phase and its dynamic manifestation as a frequency shift - an optical experiment," Phys. Rev. Lett. 61, 19 (1988).
[CrossRef] [PubMed]

1979

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave retardation plate," Opt. Commun. 31, 1-3 (1979).
[CrossRef]

Adams, C. S.

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

Allen, L.

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
[CrossRef]

Alt, W.

S. Kuhr, W. Alt, D. Schrader, M. Muller, V. Gomer and D. Meschede, "Deterministic delivery of a single atom," Science 293, 278-280 (2001).
[CrossRef] [PubMed]

Amico, L.

L. Amico, A. Osterloh and F. Cataliotti, "Quantum many particle systems in ring-shaped optical lattices," Phys. Rev. Lett. 95, 063201 (2005).
[CrossRef] [PubMed]

Anderson, B. P.

D. R. Scherer, C. N. Weiler, T. W. Neely and B. P. Anderson, "Vortex formation by merging of multiple trapped Bose-Einstein condensates," Phys. Rev. Lett. 98, 110402 (2007).
[CrossRef] [PubMed]

Andrews, M. R.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Arlt, J.

J. Arlt, M. MacDonald, L. Paterson, W. Sibbett, K. Dholakia and K. Volke-Sepulveda, "Moving interference patterns created using the angular Doppler-effect," Opt. Express 10, 844-852 (2002).
[PubMed]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Arnold, A. S.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

Arnold, S.

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave retardation plate," Opt. Commun. 31, 1-3 (1979).
[CrossRef]

Bazhenov, V. Yu.

V. Yu. Bazhenov, M. V. Vasnetsov and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).

Bergamini, S.

Bernet, S.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

Bloch, I.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

Browaeys, A.

Bryant, P. E.

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Burger, S.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

Cataliotti, F.

L. Amico, A. Osterloh and F. Cataliotti, "Quantum many particle systems in ring-shaped optical lattices," Phys. Rev. Lett. 95, 063201 (2005).
[CrossRef] [PubMed]

Cataliotti, F. S.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

Catani, J.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

Cooper, J.

Courtial, J.

G. Sinclair, P. Jordan, J. Courtial, M. Padgett, J. Cooper and Z. J. Laczik, "Assembly of 3-dimensional structures using programmable holographic optical tweezers," Opt. Express 12, 5475-5480 (2004).
[CrossRef] [PubMed]

J. Leach, M. Dennis, J. Courtial and M. Padgett, "Knotted threads of darkness," Nature 432, 165 (2004).
[CrossRef] [PubMed]

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

Cox, S. G.

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

Curtis, J. E.

J. E. Curtis, B. A. Koss and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
[CrossRef]

Darqui´e, B.

Davis, K. B.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Dennis, M.

J. Leach, M. Dennis, J. Courtial and M. Padgett, "Knotted threads of darkness," Nature 432, 165 (2004).
[CrossRef] [PubMed]

Deutsch, I. H.

P. S. Jessen and I. H. Deutsch, "Optical lattices," Adv. At., Mol., Opt. Phys. 37, 95-138 (1996).
[CrossRef]

Dholakia, K.

J. Arlt, M. MacDonald, L. Paterson, W. Sibbett, K. Dholakia and K. Volke-Sepulveda, "Moving interference patterns created using the angular Doppler-effect," Opt. Express 10, 844-852 (2002).
[PubMed]

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Durfee, D. S.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Ellinas, D.

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

Esslinger, T.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

Fallani, L.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

Fort, C.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

Fürhapter, S.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

Garetz, B. A.

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave retardation plate," Opt. Commun. 31, 1-3 (1979).
[CrossRef]

Garvie, C. S.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

Grangier, P.

Greiner, M.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

Grier, D. G.

J. E. Curtis, B. A. Koss and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
[CrossRef]

Gupta, S.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

Hänsch, T. W.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

Harris, M.

M. Harris, C. A. Hill and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161-166 (1994).
[CrossRef]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Hill, C. A.

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

M. Harris, C. A. Hill and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161-166 (1994).
[CrossRef]

Hinds, E. A.

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

Hughes, I. G.

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

Inguscio, M.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

Jacubowiez, L.

Jesacher, A.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

Jessen, P. S.

P. S. Jessen and I. H. Deutsch, "Optical lattices," Adv. At., Mol., Opt. Phys. 37, 95-138 (1996).
[CrossRef]

Jones, M.

Jordan, P.

Ketterle, W.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Kimble, H. J.

R. Simon, H. J. Kimble and E. C. G. Sundarshan, "Evolving geometric phase and its dynamic manifestation as a frequency shift - an optical experiment," Phys. Rev. Lett. 61, 19 (1988).
[CrossRef] [PubMed]

Koss, B. A.

J. E. Curtis, B. A. Koss and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
[CrossRef]

Kuhr, S.

S. Kuhr, W. Alt, D. Schrader, M. Muller, V. Gomer and D. Meschede, "Deterministic delivery of a single atom," Science 293, 278-280 (2001).
[CrossRef] [PubMed]

Kurn, D. M.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Laczik, Z. J.

Leach, J.

J. Leach, M. Dennis, J. Courtial and M. Padgett, "Knotted threads of darkness," Nature 432, 165 (2004).
[CrossRef] [PubMed]

Lembessis, V. E.

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

MacDonald, M.

MacDonald, M. P.

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Maddaloni, P.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

Mandel, O.

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

Maurer, C.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

Mewes, M.-O.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Minardi, F.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

Modugno, M.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

Moore, K. L.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

Munro, P. R. T.

Murch, K. W.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

Neely, T. W.

D. R. Scherer, C. N. Weiler, T. W. Neely and B. P. Anderson, "Vortex formation by merging of multiple trapped Bose-Einstein condensates," Phys. Rev. Lett. 98, 110402 (2007).
[CrossRef] [PubMed]

Osterloh, A.

L. Amico, A. Osterloh and F. Cataliotti, "Quantum many particle systems in ring-shaped optical lattices," Phys. Rev. Lett. 95, 063201 (2005).
[CrossRef] [PubMed]

Padgett, M.

Padgett, M. J.

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
[CrossRef]

Paterson, L.

J. Arlt, M. MacDonald, L. Paterson, W. Sibbett, K. Dholakia and K. Volke-Sepulveda, "Moving interference patterns created using the angular Doppler-effect," Opt. Express 10, 844-852 (2002).
[PubMed]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Purdy, T. P.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

Riis, E.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

Ritsch-Marte, M.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

Robertson, D. A.

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

Scherer, D. R.

D. R. Scherer, C. N. Weiler, T. W. Neely and B. P. Anderson, "Vortex formation by merging of multiple trapped Bose-Einstein condensates," Phys. Rev. Lett. 98, 110402 (2007).
[CrossRef] [PubMed]

Schrader, D.

S. Kuhr, W. Alt, D. Schrader, M. Muller, V. Gomer and D. Meschede, "Deterministic delivery of a single atom," Science 293, 278-280 (2001).
[CrossRef] [PubMed]

Sibbett, W.

J. Arlt, M. MacDonald, L. Paterson, W. Sibbett, K. Dholakia and K. Volke-Sepulveda, "Moving interference patterns created using the angular Doppler-effect," Opt. Express 10, 844-852 (2002).
[PubMed]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Simon, R.

R. Simon, H. J. Kimble and E. C. G. Sundarshan, "Evolving geometric phase and its dynamic manifestation as a frequency shift - an optical experiment," Phys. Rev. Lett. 61, 19 (1988).
[CrossRef] [PubMed]

Sinclair, G.

Soskin, M. S.

V. Yu. Bazhenov, M. V. Vasnetsov and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).

Stamper-Kurn, D. M.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

Sundarshan, E. C. G.

R. Simon, H. J. Kimble and E. C. G. Sundarshan, "Evolving geometric phase and its dynamic manifestation as a frequency shift - an optical experiment," Phys. Rev. Lett. 61, 19 (1988).
[CrossRef] [PubMed]

Török, P.

Trombettoni, A.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

van Druten, N. J.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

Vasnetsov, M. V.

V. Yu. Bazhenov, M. V. Vasnetsov and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).

Vaughan, J. M.

M. Harris, C. A. Hill and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161-166 (1994).
[CrossRef]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Volke-Sepulveda, K.

Weiler, C. N.

D. R. Scherer, C. N. Weiler, T. W. Neely and B. P. Anderson, "Vortex formation by merging of multiple trapped Bose-Einstein condensates," Phys. Rev. Lett. 98, 110402 (2007).
[CrossRef] [PubMed]

Zawada, M.

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B

J. Phys. B

C. S. Adams, S. G. Cox, E. Riis and A. S. Arnold, "Laser cooling of calcium in a ‘golden ratio’ quasi-electrostatic lattice," J. Phys. B 36, 1933-1942 (2003);V. E. Lembessis and D. Ellinas, "Optical dipole trapping beyond the rotating wave approximation: the case of large detuning," J. Opt. B 7, 319-322 (2005).
[CrossRef]

JETP Lett.

V. Yu. Bazhenov, M. V. Vasnetsov and M. S. Soskin, "Laser beams with screw dislocations in their wavefronts," JETP Lett. 52, 429-431 (1990).

Nature

J. Leach, M. Dennis, J. Courtial and M. Padgett, "Knotted threads of darkness," Nature 432, 165 (2004).
[CrossRef] [PubMed]

M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature 415, 39-44 (2002).
[CrossRef] [PubMed]

New J. Phys.

C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet and M. Ritsch-Marte, "Tailoring of arbitrary optical vector beams," New J. Phys. 9, 78 (2007).
[CrossRef]

Opt. Commun.

M. Harris, C. A. Hill and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161-166 (1994).
[CrossRef]

M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
[CrossRef]

B. A. Garetz and S. Arnold, "Variable frequency shifting of circularly polarized laser radiation via a rotating half-wave retardation plate," Opt. Commun. 31, 1-3 (1979).
[CrossRef]

J. E. Curtis, B. A. Koss and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
[CrossRef]

M. Harris, C. A. Hill, and J. M. Vaughan, "Optical helices and spiral interference fringes," Opt. Commun. 106, 161 (1994); L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef]

Opt. Express

Opt. Phys.

P. S. Jessen and I. H. Deutsch, "Optical lattices," Adv. At., Mol., Opt. Phys. 37, 95-138 (1996).
[CrossRef]

Phys. Rev. Lett.

S. Gupta, K. W. Murch, K. L. Moore, T. P. Purdy and D. M. Stamper-Kurn, "Bose-Einstein condensation in a circular waveguide," Phys. Rev. Lett. 95, 143201 (2005); A. S. Arnold, C. S. Garvie and E. Riis, "Large magnetic storage ring for Bose-Einstein condensates," Phys. Rev. A 73, 041606(R) (2006).
[CrossRef] [PubMed]

R. Simon, H. J. Kimble and E. C. G. Sundarshan, "Evolving geometric phase and its dynamic manifestation as a frequency shift - an optical experiment," Phys. Rev. Lett. 61, 19 (1988).
[CrossRef] [PubMed]

L. Amico, A. Osterloh and F. Cataliotti, "Quantum many particle systems in ring-shaped optical lattices," Phys. Rev. Lett. 95, 063201 (2005).
[CrossRef] [PubMed]

D. R. Scherer, C. N. Weiler, T. W. Neely and B. P. Anderson, "Vortex formation by merging of multiple trapped Bose-Einstein condensates," Phys. Rev. Lett. 98, 110402 (2007).
[CrossRef] [PubMed]

L. Fallani, F. S. Cataliotti, J. Catani, C. Fort, M. Modugno, M. Zawada, and M. Inguscio, "Optically induced lensing effect on a Bose-Einstein condensate expanding in a moving lattice," Phys. Rev. Lett. 91, 240405 (2003).
[CrossRef] [PubMed]

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn and W. Ketterle, "Bose- Einstein condensation in a gas of sodium atoms," Phys. Rev. Lett. 75, 3969 (1995).
[CrossRef] [PubMed]

J. Courtial, D. A. Robertson, K. Dholakia, L. Allen and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828-4830 (1998).
[CrossRef]

Prog. Quantum Electron

C. S. Adams and E. Riis, "Laser cooling and trapping of neutral atoms," Prog. Quantum Electron 21, 1-79 (1997); E. A. Hinds and I. G. Hughes, "Magnetic atom optics: mirrors, guides, traps, and chips for atoms," J. Phys. D 32, R119-R146 (1999).
[CrossRef]

Science

S. Kuhr, W. Alt, D. Schrader, M. Muller, V. Gomer and D. Meschede, "Deterministic delivery of a single atom," Science 293, 278-280 (2001).
[CrossRef] [PubMed]

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi andM. Inguscio, "Josephson junction arrays with Bose-Einstein condensates," Science 293, 843-846 (2001).
[CrossRef] [PubMed]

Other

D. S. Naik, S. R. Muniz, and C. Raman, "Metastable Bose-Einstein condensate in a linear potential," Phys. Rev. A 72, 051606(R) (2005);
[CrossRef]

V. Boyer, R. M. Godun, G. Smirne, D. Cassettari, C. M. Chandrashekar, A. B. Deb, Z. J. Laczik, and C. J. Foot, "Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator," Phys. Rev. A 73, 031402(R) (2006).
[CrossRef]

Supplementary Material (1)

» Media 1: GIF (1809 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

(color online) Generation of bright (a) and dark (b) lattices from interfering LG beams with different values on an area of 6w × 6w. Note that the dark lattice sites are positioned at phase singularities.

Fig. 2.
Fig. 2.

(color online) Experimental setup for generating rotating dark or bright optical ring lattices. Two double-passed AOMs impose a frequency shift between the light beams. Bright lattices are generated by interfering the positive and negative diffracted beam from an forked hologram, whereas dark lattices are obtained from two separate holograms.

Fig. 3.
Fig. 3.

(color online) Observed intensity distribution for the bright (a) and dark (b) lattice on an area of 3 × 3mm2 and the corresponding theoretical distributions (c) and (d). The bright lattice is generated from LG beams 1 = - 2 = 10 of equal intensity and the dark lattice from 1 = 3, 2 = 11 with I 2 ≈ √ 2/ 1 I 1. As an illustration of a rotating lattice we have made movies of the experiments e.g. (link 1 = - 2 = 10). [Media 1]

Fig. 4.
Fig. 4.

(color online) Lattices suitable for studying the Mott transition between a 10-site ring lattice and a ring trap. Images (a)-(c) are from optical experiments. Images (d)-(f) ((g)-(i)) depict a red (blue) detuned hybrid magnetic/optical lattice with η 1 = 1 - η 2 = 0.5,0.99,1 (0.5,0.8,1) respectively. The red (blue) lattice contours are at 15 μK (12 μK), and the boxes have xyz dimensions 120×120×80 μm3 (260×260×80 μm3).

Equations (3)

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

LG = A exp [ i ( k ( z r 2 2 R ) ω t + Φ ) ] e i θ
I = LG 1 ( ω ) + LG 2 ( ω + δ ω ) 2 = A 1 2 + A 2 2 + 2 A 1 A 2 cos ( δ θ δ ω t + δ Φ ) .
U h Γ 2 I 8 Δ I S , S Γ 3 I 8 I S Δ 2 ,

Metrics