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

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. S. Jessen and I. H. Deutsch, “Optical lattices,” Adv. At. Mol. Opt. Phys. 37, 95–138 (1996).
    [CrossRef]
  2. 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]
  3. F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, “Joseph-son junction arrays with Bose-Einstein condensates” Science 293, 843–846 (2001).
    [CrossRef] [PubMed]
  4. 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]
  5. 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]
  6. 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]
  7. 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]
  8. L. Amico, A. Osterloh, and F. Cataliotti, “Quantum many particle systems in ring-shaped optical lattices,” Phys. Rev. Lett. 95, 063201 (2005).
    [CrossRef] [PubMed]
  9. 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]
  10. C. S. Adams and E. Riis, “Laser cooling and trapping of neutral atoms,” Prog. Quant. Electr. 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]
  11. S. Kuhr, W. Alt, D. Schrader, M. Müller, V. Gomer, and D. Meschede, “Deterministic delivery of a single atom,” Science 293, 278–280 (2001).
    [CrossRef] [PubMed]
  12. J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers,” Opt. Commun. 207, 169–175 (2002).
    [CrossRef]
  13. 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]
  14. S. Bergamini, B. Darquié, M. Jones, L. Jacubowiez, A. Browaeys, and P. Grangier, “Holographic generation of microtrap arrays for single atoms by use of a programmable phase modulator,” J. Opt. Soc. Am. B 21, 1889–1894 (2004).
    [CrossRef]
  15. 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]
  16. 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]
  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]
  18. P. Török and P. R. T. Munro, “The use of Gauss-Laguerre vector beams in STED microscopy,” Opt. Express 12, 3605 (2004).
    [CrossRef] [PubMed]
  19. M. Harris, C. A. Hill, and J. M. Vaughan, “Optical helices and spiral interference fringes,” Opt. Commun. 106, 161–166 (1994).
    [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 (2)

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]

2006 (1)

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]

2005 (3)

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

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]

2004 (4)

2003 (2)

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 (3)

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 (2)

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, “Joseph-son junction arrays with Bose-Einstein condensates” Science 293, 843–846 (2001).
[CrossRef] [PubMed]

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

1998 (1)

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 (1)

C. S. Adams and E. Riis, “Laser cooling and trapping of neutral atoms,” Prog. Quant. Electr. 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 (1)

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

1995 (2)

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 (2)

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]

1990 (1)

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 (1)

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 (1)

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. Quant. Electr. 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. Müller, 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.

Arnold, A. 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]

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]

Boyer, V.

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]

Browaeys, A.

Burger, S.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, “Joseph-son junction arrays with Bose-Einstein condensates” Science 293, 843–846 (2001).
[CrossRef] [PubMed]

Cassettari, D.

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]

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, and M. Inguscio, “Joseph-son 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]

Chandrashekar, C. M.

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]

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]

Darquié, 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]

Deb, A. B.

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]

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]

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]

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]

Foot, C. J.

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]

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, and M. Inguscio, “Joseph-son 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]

Godun, R. M.

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]

Gomer, V.

S. Kuhr, W. Alt, D. Schrader, M. Müller, V. Gomer, and D. Meschede, “Deterministic delivery of a single atom,” Science 293, 278–280 (2001).
[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 (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]

Hill, C. A.

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]

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]

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, “Joseph-son junction arrays with Bose-Einstein condensates” Science 293, 843–846 (2001).
[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. Müller, 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.

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]

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]

Leach, J.

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

MacDonald, M.

Maddaloni, P.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, “Joseph-son 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]

Meschede, D.

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

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, and M. Inguscio, “Joseph-son 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]

Müller, M.

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

Muniz, S. R.

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]

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]

Naik, D. S.

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]

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.

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]

Raman, C.

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]

Riis, 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]

C. S. Adams and E. Riis, “Laser cooling and trapping of neutral atoms,” Prog. Quant. Electr. 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. Müller, V. Gomer, and D. Meschede, “Deterministic delivery of a single atom,” Science 293, 278–280 (2001).
[CrossRef] [PubMed]

Sibbett, W.

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.

Smerzi, A.

F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, “Joseph-son junction arrays with Bose-Einstein condensates” Science 293, 843–846 (2001).
[CrossRef] [PubMed]

Smirne, G.

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]

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, and M. Inguscio, “Joseph-son 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]

Adv. At. Mol. Opt. Phys. (1)

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

J. Opt. Soc. Am. B (1)

J. Phys. B (1)

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. (1)

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 (2)

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. (1)

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. (5)

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]

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, 161–166 (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]

Opt. Express (3)

Phys. Rev. A (2)

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]

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]

Phys. Rev. Lett. (7)

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]

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]

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]

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. 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]

Prog. Quant. Electr. (1)

C. S. Adams and E. Riis, “Laser cooling and trapping of neutral atoms,” Prog. Quant. Electr. 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 (2)

S. Kuhr, W. Alt, D. Schrader, M. Müller, 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, and M. Inguscio, “Joseph-son junction arrays with Bose-Einstein condensates” Science 293, 843–846 (2001).
[CrossRef] [PubMed]

Supplementary Material (1)

» Media 1: GIF (1809 KB)     

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


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