Geodesic
Drag force and Hess-Fairbank effect in the one-dimensional Bose gas
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 289-296

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{JSFU_2010_3_3_a2,
     author = {Alexander Yu. Cherny and Jean-S\'ebastien Caux and Joachim Brand},
     title = {Drag force and {Hess-Fairbank} effect in the one-dimensional {Bose} gas},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {289--296},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a2/}
}
TY  - JOUR
AU  - Alexander Yu. Cherny
AU  - Jean-Sébastien Caux
AU  - Joachim Brand
TI  - Drag force and Hess-Fairbank effect in the one-dimensional Bose gas
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 289
EP  - 296
VL  - 3
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a2/
LA  - en
ID  - JSFU_2010_3_3_a2
ER  - 
%0 Journal Article
%A Alexander Yu. Cherny
%A Jean-Sébastien Caux
%A Joachim Brand
%T Drag force and Hess-Fairbank effect in the one-dimensional Bose gas
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 289-296
%V 3
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a2/
%G en
%F JSFU_2010_3_3_a2
Alexander Yu. Cherny; Jean-Sébastien Caux; Joachim Brand. Drag force and Hess-Fairbank effect in the one-dimensional Bose gas. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 289-296. http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a2/