Interference pattern and visibility of a Mott insulator -: art. no. 053606

被引：129

作者：

Gerbier, F ^{[1
]}

Widera, A ^{[1
]}

Fölling, S ^{[1
]}

Mandel, O ^{[1
]}

Gericke, T ^{[1
]}

Bloch, I ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany

来源：

PHYSICAL REVIEW A | 2005年 / 72卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.72.053606

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze theoretically the experiment reported in [F. Gerbier , Phys. Rev. Lett. 95, 050404 (2005)]. There, the interference pattern produced by an expanding atomic cloud in the Mott insulator regime was observed, indicative of short-range coherence in the system. The latter was traced back to the presence of a small amount of particle-hole pairs in the insulating phase for finite lattice depths. We analyze the influence of these pairs on the interference pattern using a random phase approximation, and derive the corresponding visibility. We also account for the inhomogeneity inherent to atom traps in a local density approximation. The calculations reproduce the experimental observations, except for very large lattice depths. The deviation from the measurement in this range is attributed to the increasing importance of nonadiabatic effects.

引用

页数：6

共 28 条

[1] Mott domains of bosons confined on optical lattices
Batrouni, GG
Rousseau, V
Scalettar, RT
Rigol, M
Muramatsu, A
Denteneer, PJH
Troyer, M
[J]. PHYSICAL REVIEW LETTERS, 2002, 89 (11)
[2] Theory of Bose-Einstein condensation in trapped gases
Dalfovo, F
Giorgini, S
Pitaevskii, LP
Stringari, S
[J]. REVIEWS OF MODERN PHYSICS, 1999, 71 (03) : 463 - 512
[3] Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice
DeMarco, B
Lannert, C
Vishveshwara, S
Wei, TC
[J]. PHYSICAL REVIEW A, 2005, 71 (06):
[4] Ultracold atoms in optical lattices
Dickerscheid, DBM
van Oosten, D
Denteneer, PJH
Stoof, HTC
[J]. PHYSICAL REVIEW A, 2003, 68 (04): : 13
[5] FISHER MPA, 1989, PHYS REV B, V40, P546, DOI [10.1103/PhysRevB.40.546, 10.1063/1.38820]
[6] Spatial quantum noise interferometry in expanding ultracold atom clouds
Fölling, S
Gerbier, F
Widera, A
Mandel, O
Gericke, T
Bloch, I
[J]. NATURE, 2005, 434 (7032) : 481 - 484
[7] GANGARDT DM, 2004, CONDMAT0408437
[8] Variational ansatz for the superfluid Mott-insulator transition in optical lattices
García-Ripoll, JJ
Cirac, JI
Zoller, P
Kollath, C
Schollwöck, U
von Delft, J
[J]. OPTICS EXPRESS, 2004, 12 (01): : 42 - 54
[9] Phase coherence of an atomic Mott insulator -: art. no. 050404
Gerbier, F
Widera, A
Fölling, S
Mandel, O
Gericke, T
Bloch, I
[J]. PHYSICAL REVIEW LETTERS, 2005, 95 (05)
[10] Collapse and revival of the matter wave field of a Bose-Einstein condensate
Greiner, M
Mandel, O
Hänsch, TW
Bloch, I
[J]. NATURE, 2002, 419 (6902) : 51 - 54

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