Matter-Wave Dark Solitons: Stochastic versus Analytical Results

被引：58

作者：

Cockburn, S. P. ^{[1
]}

Nistazakis, H. E. ^{[2
]}

Horikis, T. P. ^{[3
]}

Kevrekidis, P. G. ^{[4
]}

Proukakis, N. P. ^{[1
]}

Frantzeskakis, D. J. ^{[2
]}

机构：

[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] Univ Athens, Dept Phys, Athens 15784, Greece

[3] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[4] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 104卷 / 17期

基金：

英国工程与自然科学研究理事会;

关键词：

BOSE-EINSTEIN CONDENSATE; DYNAMICS; DIFFUSION; VORTICES; SYSTEMS; GASES; MODEL;

D O I：

10.1103/PhysRevLett.104.174101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual soliton trajectories, attributed to inherent fluctuations in both phase and density of the underlying medium. Averaging over a number of such trajectories (as done in experiments) washes out such background fluctuations, revealing a well-defined temperature-dependent temporal growth in the oscillation amplitude. The average soliton dynamics is well captured by the simpler dissipative Gross-Pitaevskii equation, both numerically and via an analytically derived equation for the soliton center based on perturbation theory for dark solitons.

引用

页数：4

共 50 条

[11] DAMSKI B, ARXIV09090761V1
[12] Generating solitons by phase engineering of a Bose-Einstein condensate
Denschlag, J
Simsarian, JE
Feder, DL
Clark, CW
Collins, LA
Cubizolles, J
Deng, L
Hagley, EW
Helmerson, K
Reinhardt, WP
Rolston, SL
Schneider, BI
Phillips, WD
[J]. SCIENCE, 2000, 287 (5450) : 97 - 101
[13] Noisy dynamics of a vortex in a partially Bose-Einstein condensed gas
Duine, RA
Leurs, BWA
Stoof, HTC
[J]. PHYSICAL REVIEW A, 2004, 69 (05): : 053623 - 1
[14] Stochastic dynamics of a trapped Bose-Einstein condensate
Duine, RA
Stoof, HTC
[J]. PHYSICAL REVIEW A, 2002, 65 (01): : 25
[15] Observation of quantum shock waves created with ultra-compressed slow light pulses in a Bose-Einstein condensate
Dutton, Z
Budde, M
Slowe, C
Hau, LV
[J]. SCIENCE, 2001, 293 (5530) : 663 - 668
[16] Depletion of the dark soliton: The anomalous mode of the Bogoliubov theory
Dziarmaga, J
Sacha, K
[J]. PHYSICAL REVIEW A, 2002, 66 (04): : 6
[17] Stationary and nonstationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
Engels, P.
Atherton, C.
[J]. PHYSICAL REVIEW LETTERS, 2007, 99 (16)
[18] Dissipative dynamics of a kink state in a Bose-condensed gas
Fedichev, PO
Muryshev, AE
Shlyapnikov, GV
[J]. PHYSICAL REVIEW A, 1999, 60 (04): : 3220 - 3224
[19] GANGARDT DM, ARXIV09084513V1
[20] The stochastic Gross-Pitaevskii equation: II
Gardiner, CW
Davis, MJ
[J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2003, 36 (23) : 4731 - 4753

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