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Variational study of polarons and bipolarons in a one-dimensional Bose lattice gas in both the superfluid and the Mott-insulator regimes

Published version
Peer-reviewed

Type

Article

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Authors

Mueller, Erich J 

Abstract

We use variational methods to study a spin impurity in a 1D Bose lattice gas. Both in the strongly interacting superfluid regime and the Mott regime we find that the impurity binds with a hole, forming a polaron. Our calculations for the dispersion of the polaron are consistent with recent experiments by Fukuhara et. al. [Nature Phys. 9, 235 (2013)] and give a better understanding of their numerical simulations. We find that for sufficiently weak interactions there are ranges of momentum for which the polaron is unstable. We propose experimentally studying the stability of the polaron by measuring the correlation between the impurity and holes. We also study two interacting impurities, finding stable bipolarons for sufficiently strong interactions.

Description

Keywords

cond-mat.quant-gas, cond-mat.quant-gas

Journal Title

PHYSICAL REVIEW A

Conference Name

Journal ISSN

1050-2947
1094-1622

Volume Title

88

Publisher

American Physical Society (APS)

Rights

Publisher's own licence
Sponsorship
National Science Foundation Grant No. PHY-1068165 and Dr. V. Ramachandra Rao Summer Fellowship at Cornell University