Mean-field effects may mimic number squeezing in Bose-Einstein condensates in optical lattices

Abstract

References (70)

Citing Articles

Download: PDF (587 kB) or Buy this Article (US$25) (Use Article Pack)

S. B. McKagan,¹ D. L. Feder,² and W. P. Reinhardt¹
¹Departments of Chemistry and Physics, University of Washington, Seattle, Washington 98195, USA
²Department of Physics and Astronomy and the Institute for Quantum Information Science, University of Calgary, Calgary, Alberta, Canada T2N 1N4

Received 30 September 2005; published 17 July 2006

Thispaper presents a mean-field numerical analysis, using the full three-dimensionaltime-dependent Gross-Pitaevskii equation (GPE), of an experiment carried out byOrzel et al. [Science 291, 2386 (2001)] intended to show numbersqueezing in a gaseous Bose-Einstein condensate in an optical lattice.The motivation for the present work is to elucidate therole of mean-field effects in understanding the experimental results ofthis work and those of related experiments. We show thatthe nonadiabatic loading of atoms into optical lattices reproduces manyof the main results of the Orzel et al. experiment, includingboth loss of interference patterns as laser intensity is increasedand their regeneration when intensities are lowered. The nonadiabaticity foundin the GPE simulations manifests itself primarily in a couplingbetween the transverse and longitudinal dynamics.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.013612
DOI:	10.1103/PhysRevA.74.013612
PACS:	03.75.Lm; 03.75.Dg; 05.30.Jp; 32.80.Pj 03.75.Lm Josephson effect, tunneling, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations 03.75.Dg Atom and neutron interferometry 05.30.Jp Boson systems (quantum statistical mechanics) 32.80.Pj Optical cooling of atoms; trapping YEAR: 2006
KEYWORDS:	Bose-Einstein condensation, numerical analysis

REFERENCES (70)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995);

79, 1170 (1997)

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
A. J. Leggett, Rev. Mod. Phys. 73, 307 (2001).
M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. 77, 988 (1996).
D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 420 (1996).
D. M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M. R. Andrews, and W. Ketterle, Phys. Rev. Lett. 81, 500 (1998).
H.-J. Miesner, D. M. Stamper-Kurn, J. Stenger, S. Inouye, A. P. Chikkatur, and W. Ketterle, Phys. Rev. Lett. 82, 2228 (1999).
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, M. J. Holland, J. E. Williams, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 3358 (1999).
A. Röhrl, M. Naraschewski, A. Schenzle, and H. Wallis, Phys. Rev. Lett. 78, 4143 (1997).
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 2498 (1999).
K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999).
D. S. Jin, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 78, 764 (1997).
O. Maragó, G. Hechenblaikner, E. Hodby, and C. Foot, Phys. Rev. Lett. 86, 3938 (2001).
B. Jackson and E. Zaremba, Phys. Rev. Lett. 88, 180402 (2002).
S. A. Morgan, M. Rusch, D. A. W. Hutchinson, and K. Burnett, Phys. Rev. Lett. 91, 250403 (2003).
C. McKenzie J. H. Denschlag, H. Häffner, A. Browaeys, Luís E. E. de Araujo, F. K. Fatemi, K. M. Jones, J. E. Simsarian, D. Cho, A. Simoni, E. Tiesinga, P. S. Julienne, K. Helmerson, P. D. Lett, S. L. Rolston, and W. D. Phillips, Phys. Rev. Lett. 88, 120403 (2002).
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003).
C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. 92, 040403 (2004).
M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. 92, 120401 (2004).
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. 92, 120403 (2004).
H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 91, 250402 (2003).
B. L. Tolra, K. M. O'Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston, and J. V. Porto, Phys. Rev. Lett. 92, 190401 (2004).
T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000).
B. Paredes, P. Fedichev, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 010402 (2001).
C. D. Fertig, K. M. O'Hara, J. H. Huckans, S. L. Rolston, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. 94, 120403 (2005).
K. Xu, Y. Liu, J. Abo-Shaeer, T. Mukaiyama, J. Chin, D. Miller, W. Ketterle, K. M. Jones, and E. Tiesinga, Phys. Rev. A72, 043604 (2005).
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
Z. Hadzibabic, S. Stock, B. Battelier, V. Bretin, and J. Dalibard, Phys. Rev. Lett. 93, 180403 (2004).
O. Morsch, J. H. Müller, D. Ciampini, M. Cristiani, P. B. Blakie, C. J. Williams, P. S. Julienne, and E. Arimondo, Phys. Rev. A 67, 031603(R) (2003).
J. Zakrzewski, Phys. Rev. A 71, 043601 (2005).
S. E. Sklarz, I. Friedler, D. J. Tannor, Y. B. Band, and C. J. Williams, Phys. Rev. A 66, 053620 (2002).
Y. B. Band and M. Trippenbach, Phys. Rev. A 65, 053602 (2002).
L. Isella and J. Ruostekoski, Phys. Rev. A 72, 011601(R) (2005).
J. Plata, Phys. Rev. A 69, 033604 (2004).
Y. B. Band, I. Towers, and B. A. Malomed, Phys. Rev. A 67, 023602 (2003).
M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A 65, 043614 (2002).
E. G. M. van Kempen, S. J. J. M. F. Kokkelmans, D. J. Heinzen, and B. J. Verhaar, Phys. Rev. Lett. 88, 093201 (2002).
M. P. Bradley, J. V. Porto, S. Rainville, J. K. Thompson, and D. E. Pritchard, Phys. Rev. Lett. 83, 4510 (1999).
P. Pedri, L. Pitaevskii, S. Stringari, C. Fort, S. Burger, F. S. Cataliotti, P. Maddaloni, F. Minardi, and M. Inguscio, Phys. Rev. Lett. 87, 220401 (2001).
M. Krämer, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180404 (2002).