Effective potential renormalization and polaronic mass shift in a trapped dynamical impurity-luttinger liquid system

Recent experiments with cold atoms on the impurity motion in one-dimensional liquids of interacting bosons have revealed an interesting interplay between the polaronic impurity mass shift and the renormalization of the optical potential. We show that the influence of the external trap on the Bose ga...

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Bibliographic Details
Published in:arXiv.org 2013-07
Main Authors: Bonart, Julius, Cugliandolo, Leticia F
Format: Article
Language:English
Subjects:
Bosons
Brownian motion
Cold atoms
Impurities
Online Access:Get full text
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Summary:Recent experiments with cold atoms on the impurity motion in one-dimensional liquids of interacting bosons have revealed an interesting interplay between the polaronic impurity mass shift and the renormalization of the optical potential. We show that the influence of the external trap on the Bose gas leads to a steeper effective potential for the impurity. We propose a framework in which this potential renormalization and the mass shift can be quantitatively understood by combining a semi-classical theory of density wave excitations in the Luttinger liquid with the non equilibrium formalism of a quantum Brownian particle. The obtained theoretical results reproduce well recent experimental data.
ISSN:2331-8422
DOI:10.48550/arxiv.1210.4183