Theory of superfluidity and drag force in the one-dimensional Bose gas

doi:10.1007/s11467-011-0211-2

Frontiers of Physics

2012, Vol. 7

Issue (1): 54-71 https://doi.org/10.1007/s11467-011-0211-2

REVIEW ARTICLE

本期目录

Theory of superfluidity and drag force in the one-dimensional Bose gas

Alexander Yu. Cherny¹, Jean-Sébastien Caux², Joachim Brand³(

)

1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russia; 2. Institute for Theoretical Physics, Science Park 904, University of Amsterdam, 1090 GL Amsterdam, The Netherlands; 3. Centre for Theoretical Chemistry and Physics and New Zealand Institute for Advanced Study, Massey University, Private Bag 102904 North Shore, Auckland 0745, New Zealand

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Abstract：

The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently, experimental tests with ultracold atoms have begun and quantitative predictions for the drag force experienced by moving obstacles have become available. This topical review discusses the drag force obtained from linear response theory in relation to Landau’s criterion of superfluidity. Based upon improved analytical and numerical understanding of the dynamical structure factor, results for different obstacle potentials are obtained, including single impurities, optical lattices and random potentials generated from speckle patterns. The dynamical breakdown of superfluidity in random potentials is discussed in relation to Anderson localization and the predicted superfluid–insulator transition in these systems.

Key words： Lieb–Liniger model Tonks–Girardeau gas Luttinger liquid drag force superfluidity dynamical structure factor

收稿日期: 2011-06-30 出版日期: 2012-02-01

Corresponding Author(s): Brand Joachim,Email:J.Brand@massey.ac.nz

引用本文:

. Theory of superfluidity and drag force in the one-dimensional Bose gas[J]. Frontiers of Physics, 2012, 7(1): 54-71.
Alexander Yu. Cherny, Jean-Sébastien Caux, Joachim Brand. Theory of superfluidity and drag force in the one-dimensional Bose gas. Front. Phys. , 2012, 7(1): 54-71.

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https://academic.hep.com.cn/fop/CN/10.1007/s11467-011-0211-2
https://academic.hep.com.cn/fop/CN/Y2012/V7/I1/54

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