J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Atomic collision dynamics in optical lattices,” Phys. Rev. A 65, 033411 (2002).

[CrossRef]

J. Piilo and K.-A. Suominen, “Optical shielding of cold collisions in blue-detuned near-resonant optical lattices,” Phys. Rev. A 66, 013401 (2002).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Cold collisions between atoms in optical lattices,” J. Phys. B 34, L231–L237 (2001).

[CrossRef]

C. Menotti and H. Ritsch, “Mean-field approach to dipole–dipole interaction in an optical lattice,” Phys. Rev. A 60, R2653–R2656 (1999).

[CrossRef]

C. Menotti and H. Ritsch, “Laser cooling of atoms in optical lattices including quantum statistics and dipole–dipole interactions,” Appl. Phys. B 69, 311–321 (1999).

[CrossRef]

L. Guidoni and P. Verkerk, “Optical lattices: cold atoms ordered by light,” J. Opt. B: Quantum Semiclassical Opt. 1, R23–R45 (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, 1–85 (1999).

[CrossRef]

K. I. Petsas, G. Grynberg, and J.-Y. Courtois, “Semiclassical Monte Carlo Approaches for Realistic Atoms in Optical Lattices,” Eur. Phys. J. D 6, 29–47 (1999).

[CrossRef]

M. B. Plenio and P. L. Knight, “The quantum-jump approach to dissipative dynamics in quantum optics,” Rev. Mod. Phys. 70, 101–144 (1998).

[CrossRef]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

D. R. Meacher, “Optical lattices–crystalline structures bound by light,” Contemp. Phys. 39, 329–350 (1998).

[CrossRef]

S. Rolston, “Optical lattices,” Phys. World 11, 27–32 (1998).

J. Lawall, C. Orzel, and S. L. Rolston, “Suppression and enhancement of collisions in optical lattices,” Phys. Rev. Lett. 80, 480–483 (1998).

[CrossRef]

A. M. Guzmán and P. Meystre, “Dynamical effects of the dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 57, 1139–1148 (1998).

[CrossRef]

H. Kunugita, T. Ido, and F. Shimizu, “Ionizing collisional rate of metastable rare-gas atoms in an optical lattice,” Phys. Rev. Lett. 79, 621–624 (1997).

[CrossRef]

W. Greenwood, P. Pax, and P. Meystre, “Atomic transport on one-dimensional optical lattices,” Phys. Rev. A 56, 2109–2122 (1997).

[CrossRef]

P. M. Visser and G. Nienhuis, “Quantum transport of atoms in an optical lattice,” Phys. Rev. A 56, 3950–3960 (1997).

[CrossRef]

S. Marksteiner, K. Ellinger, and P. Zoller, “Anomalous diffusion and Lévy walks in optical lattices,” Phys. Rev. A 53, 3409–3430 (1996).

[CrossRef]
[PubMed]

E. V. Goldstein, P. Pax, and P. Meystre, “Dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 53, 2604–2615 (1996).

[CrossRef]
[PubMed]

C. Boisseau and J. Vigué, “Laser-dressed molecular interactions at long range,” Opt. Commun. 127, 251–256 (1996).

[CrossRef]

K.-A. Suominen, “Theories for cold atomic collisions in light fields,” J. Phys. B 29, 5981–6007 (1996).

[CrossRef]

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

[CrossRef]

K. Mølmer and Y. Castin, “Monte Carlo wavefunctions in quantum optics,” Quantum Semiclassic. Opt. 8, 49–72 (1996).

[CrossRef]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Quantal treatment of cold collisions in a laser field,” Phys. Rev. Lett. 72, 2367–2370 (1994).

[CrossRef]
[PubMed]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Cold collisions in a laser field: quantum Monte Carlo treatment of radiative heating,” Phys. Rev. A 50, 1513–1530 (1994).

[CrossRef]
[PubMed]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

J. Dalibard, Y. Castin, and K. Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68, 580–583 (1992).

[CrossRef]
[PubMed]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1–85 (1999).

[CrossRef]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Atomic collision dynamics in optical lattices,” Phys. Rev. A 65, 033411 (2002).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Cold collisions between atoms in optical lattices,” J. Phys. B 34, L231–L237 (2001).

[CrossRef]

C. Boisseau and J. Vigué, “Laser-dressed molecular interactions at long range,” Opt. Commun. 127, 251–256 (1996).

[CrossRef]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Cold collisions in a laser field: quantum Monte Carlo treatment of radiative heating,” Phys. Rev. A 50, 1513–1530 (1994).

[CrossRef]
[PubMed]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Quantal treatment of cold collisions in a laser field,” Phys. Rev. Lett. 72, 2367–2370 (1994).

[CrossRef]
[PubMed]

K. Mølmer and Y. Castin, “Monte Carlo wavefunctions in quantum optics,” Quantum Semiclassic. Opt. 8, 49–72 (1996).

[CrossRef]

K. Mølmer, Y. Castin, and J. Dalibard, “Monte Carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10, 524–538 (1993).

[CrossRef]

J. Dalibard, Y. Castin, and K. Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68, 580–583 (1992).

[CrossRef]
[PubMed]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

J. Dalibard and C. Cohen-Tannoudji, “Laser cooling below the Doppler limit by polarization gradients: simple theoretical models,” J. Opt. Soc. Am. B 6, 2023–2045 (1989).

[CrossRef]

K. I. Petsas, G. Grynberg, and J.-Y. Courtois, “Semiclassical Monte Carlo Approaches for Realistic Atoms in Optical Lattices,” Eur. Phys. J. D 6, 29–47 (1999).

[CrossRef]

K. Mølmer, Y. Castin, and J. Dalibard, “Monte Carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10, 524–538 (1993).

[CrossRef]

J. Dalibard, Y. Castin, and K. Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68, 580–583 (1992).

[CrossRef]
[PubMed]

J. Dalibard and C. Cohen-Tannoudji, “Laser cooling below the Doppler limit by polarization gradients: simple theoretical models,” J. Opt. Soc. Am. B 6, 2023–2045 (1989).

[CrossRef]

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

[CrossRef]

S. Marksteiner, K. Ellinger, and P. Zoller, “Anomalous diffusion and Lévy walks in optical lattices,” Phys. Rev. A 53, 3409–3430 (1996).

[CrossRef]
[PubMed]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

E. V. Goldstein, P. Pax, and P. Meystre, “Dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 53, 2604–2615 (1996).

[CrossRef]
[PubMed]

W. Greenwood, P. Pax, and P. Meystre, “Atomic transport on one-dimensional optical lattices,” Phys. Rev. A 56, 2109–2122 (1997).

[CrossRef]

K. I. Petsas, G. Grynberg, and J.-Y. Courtois, “Semiclassical Monte Carlo Approaches for Realistic Atoms in Optical Lattices,” Eur. Phys. J. D 6, 29–47 (1999).

[CrossRef]

L. Guidoni and P. Verkerk, “Optical lattices: cold atoms ordered by light,” J. Opt. B: Quantum Semiclassical Opt. 1, R23–R45 (1999).

[CrossRef]

A. M. Guzmán and P. Meystre, “Dynamical effects of the dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 57, 1139–1148 (1998).

[CrossRef]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Cold collisions in a laser field: quantum Monte Carlo treatment of radiative heating,” Phys. Rev. A 50, 1513–1530 (1994).

[CrossRef]
[PubMed]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Quantal treatment of cold collisions in a laser field,” Phys. Rev. Lett. 72, 2367–2370 (1994).

[CrossRef]
[PubMed]

H. Kunugita, T. Ido, and F. Shimizu, “Ionizing collisional rate of metastable rare-gas atoms in an optical lattice,” Phys. Rev. Lett. 79, 621–624 (1997).

[CrossRef]

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

[CrossRef]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1–85 (1999).

[CrossRef]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

M. B. Plenio and P. L. Knight, “The quantum-jump approach to dissipative dynamics in quantum optics,” Rev. Mod. Phys. 70, 101–144 (1998).

[CrossRef]

H. Kunugita, T. Ido, and F. Shimizu, “Ionizing collisional rate of metastable rare-gas atoms in an optical lattice,” Phys. Rev. Lett. 79, 621–624 (1997).

[CrossRef]

J. Lawall, C. Orzel, and S. L. Rolston, “Suppression and enhancement of collisions in optical lattices,” Phys. Rev. Lett. 80, 480–483 (1998).

[CrossRef]

S. Marksteiner, K. Ellinger, and P. Zoller, “Anomalous diffusion and Lévy walks in optical lattices,” Phys. Rev. A 53, 3409–3430 (1996).

[CrossRef]
[PubMed]

D. R. Meacher, “Optical lattices–crystalline structures bound by light,” Contemp. Phys. 39, 329–350 (1998).

[CrossRef]

C. Menotti and H. Ritsch, “Mean-field approach to dipole–dipole interaction in an optical lattice,” Phys. Rev. A 60, R2653–R2656 (1999).

[CrossRef]

C. Menotti and H. Ritsch, “Laser cooling of atoms in optical lattices including quantum statistics and dipole–dipole interactions,” Appl. Phys. B 69, 311–321 (1999).

[CrossRef]

A. M. Guzmán and P. Meystre, “Dynamical effects of the dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 57, 1139–1148 (1998).

[CrossRef]

W. Greenwood, P. Pax, and P. Meystre, “Atomic transport on one-dimensional optical lattices,” Phys. Rev. A 56, 2109–2122 (1997).

[CrossRef]

E. V. Goldstein, P. Pax, and P. Meystre, “Dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 53, 2604–2615 (1996).

[CrossRef]
[PubMed]

K. Mølmer and Y. Castin, “Monte Carlo wavefunctions in quantum optics,” Quantum Semiclassic. Opt. 8, 49–72 (1996).

[CrossRef]

K. Mølmer, Y. Castin, and J. Dalibard, “Monte Carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10, 524–538 (1993).

[CrossRef]

J. Dalibard, Y. Castin, and K. Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68, 580–583 (1992).

[CrossRef]
[PubMed]

P. M. Visser and G. Nienhuis, “Quantum transport of atoms in an optical lattice,” Phys. Rev. A 56, 3950–3960 (1997).

[CrossRef]

J. Lawall, C. Orzel, and S. L. Rolston, “Suppression and enhancement of collisions in optical lattices,” Phys. Rev. Lett. 80, 480–483 (1998).

[CrossRef]

W. Greenwood, P. Pax, and P. Meystre, “Atomic transport on one-dimensional optical lattices,” Phys. Rev. A 56, 2109–2122 (1997).

[CrossRef]

E. V. Goldstein, P. Pax, and P. Meystre, “Dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 53, 2604–2615 (1996).

[CrossRef]
[PubMed]

K. I. Petsas, G. Grynberg, and J.-Y. Courtois, “Semiclassical Monte Carlo Approaches for Realistic Atoms in Optical Lattices,” Eur. Phys. J. D 6, 29–47 (1999).

[CrossRef]

J. Piilo and K.-A. Suominen, “Optical shielding of cold collisions in blue-detuned near-resonant optical lattices,” Phys. Rev. A 66, 013401 (2002).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Atomic collision dynamics in optical lattices,” Phys. Rev. A 65, 033411 (2002).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Cold collisions between atoms in optical lattices,” J. Phys. B 34, L231–L237 (2001).

[CrossRef]

M. B. Plenio and P. L. Knight, “The quantum-jump approach to dissipative dynamics in quantum optics,” Rev. Mod. Phys. 70, 101–144 (1998).

[CrossRef]

C. Menotti and H. Ritsch, “Laser cooling of atoms in optical lattices including quantum statistics and dipole–dipole interactions,” Appl. Phys. B 69, 311–321 (1999).

[CrossRef]

C. Menotti and H. Ritsch, “Mean-field approach to dipole–dipole interaction in an optical lattice,” Phys. Rev. A 60, R2653–R2656 (1999).

[CrossRef]

S. Rolston, “Optical lattices,” Phys. World 11, 27–32 (1998).

J. Lawall, C. Orzel, and S. L. Rolston, “Suppression and enhancement of collisions in optical lattices,” Phys. Rev. Lett. 80, 480–483 (1998).

[CrossRef]

H. Kunugita, T. Ido, and F. Shimizu, “Ionizing collisional rate of metastable rare-gas atoms in an optical lattice,” Phys. Rev. Lett. 79, 621–624 (1997).

[CrossRef]

J. Piilo and K.-A. Suominen, “Optical shielding of cold collisions in blue-detuned near-resonant optical lattices,” Phys. Rev. A 66, 013401 (2002).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Atomic collision dynamics in optical lattices,” Phys. Rev. A 65, 033411 (2002).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Cold collisions between atoms in optical lattices,” J. Phys. B 34, L231–L237 (2001).

[CrossRef]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

K.-A. Suominen, “Theories for cold atomic collisions in light fields,” J. Phys. B 29, 5981–6007 (1996).

[CrossRef]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Quantal treatment of cold collisions in a laser field,” Phys. Rev. Lett. 72, 2367–2370 (1994).

[CrossRef]
[PubMed]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Cold collisions in a laser field: quantum Monte Carlo treatment of radiative heating,” Phys. Rev. A 50, 1513–1530 (1994).

[CrossRef]
[PubMed]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

L. Guidoni and P. Verkerk, “Optical lattices: cold atoms ordered by light,” J. Opt. B: Quantum Semiclassical Opt. 1, R23–R45 (1999).

[CrossRef]

C. Boisseau and J. Vigué, “Laser-dressed molecular interactions at long range,” Opt. Commun. 127, 251–256 (1996).

[CrossRef]

P. M. Visser and G. Nienhuis, “Quantum transport of atoms in an optical lattice,” Phys. Rev. A 56, 3950–3960 (1997).

[CrossRef]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1–85 (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, 1–85 (1999).

[CrossRef]

S. Marksteiner, K. Ellinger, and P. Zoller, “Anomalous diffusion and Lévy walks in optical lattices,” Phys. Rev. A 53, 3409–3430 (1996).

[CrossRef]
[PubMed]

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

[CrossRef]

C. Menotti and H. Ritsch, “Laser cooling of atoms in optical lattices including quantum statistics and dipole–dipole interactions,” Appl. Phys. B 69, 311–321 (1999).

[CrossRef]

D. R. Meacher, “Optical lattices–crystalline structures bound by light,” Contemp. Phys. 39, 329–350 (1998).

[CrossRef]

K. I. Petsas, G. Grynberg, and J.-Y. Courtois, “Semiclassical Monte Carlo Approaches for Realistic Atoms in Optical Lattices,” Eur. Phys. J. D 6, 29–47 (1999).

[CrossRef]

L. Guidoni and P. Verkerk, “Optical lattices: cold atoms ordered by light,” J. Opt. B: Quantum Semiclassical Opt. 1, R23–R45 (1999).

[CrossRef]

J. Dalibard and C. Cohen-Tannoudji, “Laser cooling below the Doppler limit by polarization gradients: simple theoretical models,” J. Opt. Soc. Am. B 6, 2023–2045 (1989).

[CrossRef]

P. J. Ungar, D. S. Weiss, E. Riis, and S. Chu, “Optical molasses and multilevel atoms: theory,” J. Opt. Soc. Am. B 6, 2058–2071 (1989).

[CrossRef]

K. Mølmer, Y. Castin, and J. Dalibard, “Monte Carlo wave-function method in quantum optics,” J. Opt. Soc. Am. B 10, 524–538 (1993).

[CrossRef]

K.-A. Suominen, “Theories for cold atomic collisions in light fields,” J. Phys. B 29, 5981–6007 (1996).

[CrossRef]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Cold collisions between atoms in optical lattices,” J. Phys. B 34, L231–L237 (2001).

[CrossRef]

C. Boisseau and J. Vigué, “Laser-dressed molecular interactions at long range,” Opt. Commun. 127, 251–256 (1996).

[CrossRef]

A. M. Guzmán and P. Meystre, “Dynamical effects of the dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 57, 1139–1148 (1998).

[CrossRef]

C. Menotti and H. Ritsch, “Mean-field approach to dipole–dipole interaction in an optical lattice,” Phys. Rev. A 60, R2653–R2656 (1999).

[CrossRef]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Cold collisions in a laser field: quantum Monte Carlo treatment of radiative heating,” Phys. Rev. A 50, 1513–1530 (1994).

[CrossRef]
[PubMed]

J. Piilo, K.-A. Suominen, and K. Berg-Sørensen, “Atomic collision dynamics in optical lattices,” Phys. Rev. A 65, 033411 (2002).

[CrossRef]

J. Piilo and K.-A. Suominen, “Optical shielding of cold collisions in blue-detuned near-resonant optical lattices,” Phys. Rev. A 66, 013401 (2002).

[CrossRef]

E. V. Goldstein, P. Pax, and P. Meystre, “Dipole–dipole interaction in three-dimensional optical lattices,” Phys. Rev. A 53, 2604–2615 (1996).

[CrossRef]
[PubMed]

K.-A. Suominen, Y. B. Band, I. Tuvi, K. Burnett, and P. S. Julienne, “Quantum and semiclasical calculations of cold atom collisions in light fields,” Phys. Rev. A 57, 3724–3738 (1998).

[CrossRef]

S. Marksteiner, K. Ellinger, and P. Zoller, “Anomalous diffusion and Lévy walks in optical lattices,” Phys. Rev. A 53, 3409–3430 (1996).

[CrossRef]
[PubMed]

W. Greenwood, P. Pax, and P. Meystre, “Atomic transport on one-dimensional optical lattices,” Phys. Rev. A 56, 2109–2122 (1997).

[CrossRef]

P. M. Visser and G. Nienhuis, “Quantum transport of atoms in an optical lattice,” Phys. Rev. A 56, 3950–3960 (1997).

[CrossRef]

M. J. Holland, K.-A. Suominen, and K. Burnett, “Quantal treatment of cold collisions in a laser field,” Phys. Rev. Lett. 72, 2367–2370 (1994).

[CrossRef]
[PubMed]

F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, “Subrecoil laser cooling and Lévy flights,” Phys. Rev. Lett. 72, 203–206 (1994).

[CrossRef]
[PubMed]

J. Lawall, C. Orzel, and S. L. Rolston, “Suppression and enhancement of collisions in optical lattices,” Phys. Rev. Lett. 80, 480–483 (1998).

[CrossRef]

H. Kunugita, T. Ido, and F. Shimizu, “Ionizing collisional rate of metastable rare-gas atoms in an optical lattice,” Phys. Rev. Lett. 79, 621–624 (1997).

[CrossRef]

J. Dalibard, Y. Castin, and K. Mølmer, “Wave-function approach to dissipative processes in quantum optics,” Phys. Rev. Lett. 68, 580–583 (1992).

[CrossRef]
[PubMed]

S. Rolston, “Optical lattices,” Phys. World 11, 27–32 (1998).

K. Mølmer and Y. Castin, “Monte Carlo wavefunctions in quantum optics,” Quantum Semiclassic. Opt. 8, 49–72 (1996).

[CrossRef]

M. B. Plenio and P. L. Knight, “The quantum-jump approach to dissipative dynamics in quantum optics,” Rev. Mod. Phys. 70, 101–144 (1998).

[CrossRef]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, “Experiments and theory in cold and ultracold collisions,” Rev. Mod. Phys. 71, 1–85 (1999).

[CrossRef]

H. J. Metcalf and P. van der Straten, Laser Cooling and Trapping (Springer, Berlin, 1999).

This will depend on the particular form of the lattice (see also the discussion on occupation density in Ref. 18).

Y. Castin, J. Dalibard, and C. Cohen-Tannoudji, “The limits of Sisyphus cooling,” in Proceedings of Light-Induced Kinetic Effects on Atoms, Ions and Molecules, L. Moi, S. Gozzini, C. Gabbanini, E. Arimondo, and F. Strumia, eds. (ETS Editrice, Pisa, Italy, 1991), pp. 1–24.

Naturally, the methods without the extra potential of Eq. (8) should be used when one wants to calculate the thermodynamical properties of an atomic cloud in the whole lattice. These methods are already well-known; the purpose here is to give a new method for calculation of the collision rate.

See Ref. 18 for the details of the jump operators that are used in our implementation of the method.

It takes a finite length of time before the atoms begin to accumulate in the accumulation region. This is due to the finite distance between the initial lattice site and the accumulation region; see Fig. 1. Thus there is a small time delay in the simulation before the accumulation curve in Fig. 2 begins to increase and achieves nonzero values. We emphasize that it is only the slope β of the accumulation curve that is relevant for the collision-rate calculation here.

This is in agreement with the result given in Ref. 10 where the collisions are also a measure of atomic transport in a lattice.