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J. Sib. Fed. Univ. Math. Phys., 2010, Volume 3, Issue 3, Pages 289–296 (Mi jsfu128)  

This article is cited in 1 scientific paper (total in 1 paper)

Drag force and Hess-Fairbank effect in the one-dimensional Bose gas

Alexander Yu. Chernya, Jean-Sébastien Cauxb, Joachim Brandc

a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
b Institute for Theoretical Physics, University of Amsterdam, Amsterdam, The Netherlands
c Centre for Theoretical Chemistry and Physics, Institute of Natural Sciences, Massey University, Auckland, New Zealand

Abstract: Different aspects of superfluidity in one dimension (1D) are discussed in this paper. It is shown that the Hess-Fairbank effect takes place in 1D at zero temperature. In particular, the rotational inertia of an interacting 1D Bose gas in a finite ring is zero. Nevertheless, our results indicate that the frictionless motion of impurities depends sensitively on the strength of interactions in the gas. In general, this is possible only in a limit of weak interactions. We obtain the phase diagram of frictionless motion for the gas immersed into a moving shallow optical lattice. In this case the drag force, a quantitative measure of superfluidity, can be zero at specific values of lattice velocity and the gas density even for strong interactions.

Keywords: one-dimensional Bose-gas, superfluidity, dynamic structure factor.

Full text: PDF file (1250 kB)
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UDC: 538.9+538.94
Received: 10.04.2010
Received in revised form: 10.05.2010
Accepted: 09.06.2010
Language:

Citation: Alexander Yu. Cherny, Jean-Sébastien Caux, Joachim Brand, “Drag force and Hess-Fairbank effect in the one-dimensional Bose gas”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 289–296

Citation in format AMSBIB
\Bibitem{CheCauBra10}
\by Alexander~Yu.~Cherny, Jean-S\'ebastien~Caux, Joachim~Brand
\paper Drag force and Hess-Fairbank effect in the one-dimensional Bose gas
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 3
\pages 289--296
\mathnet{http://mi.mathnet.ru/jsfu128}


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    This publication is cited in the following articles:
    1. Schenke C., Minguzzi A., Hekking F.W.J., “Probing Superfluidity of a Mesoscopic Tonks-Girardeau Gas”, Phys. Rev. A, 85:5 (2012), 053627  crossref  adsnasa  isi  elib  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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