Momentum relaxation of a mobile impurity in a one-dimensional quantum gas

E. Burovski, V. Cheianov, O. Gamayun, O. Lychkovskiy

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44 Citations (Scopus)

Abstract

We investigate the time evolution of the momentum of an impurity atom injected into a degenerate Tonks-Girardeau gas. We establish that given an initial momentum p0 the impurity relaxes to a steady state with a nonvanishing momentum p. The nature of the steady state is found to depend drastically on whether the masses of the impurity and the host are equal. This is due to multiple coherent scattering processes leading to a resonant interaction between the impurity and the host in the case of equal masses. The dependence of p on p0 remains nontrivial even in the limit of vanishing interaction between the impurity and host particles. In this limit p (p0) is found explicitly.

Original languageEnglish
Article number041601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume89
Issue number4
DOIs
Publication statusPublished - 14 Apr 2014
Externally publishedYes

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