Matter-Wave Dark Solitons: Stochastic versus Analytical Results

被引：59

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

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