Variational study of polarons and bipolarons in a one-dimensional Bose lattice gas in both the superfluid and the Mott-insulator regimes
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Publication Date
2013Journal Title
PHYSICAL REVIEW A
ISSN
1050-2947
Publisher
American Physical Society (APS)
Volume
88
Issue
5
Number
ARTN 053601
Type
Article
This Version
VoR
Metadata
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Dutta, S., & Mueller, E. J. (2013). Variational study of polarons and bipolarons in a one-dimensional Bose lattice gas in both the superfluid and the Mott-insulator regimes. PHYSICAL REVIEW A, 88 (5. ARTN 053601) https://doi.org/10.1103/PhysRevA.88.053601
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.
Sponsorship
National Science Foundation Grant No. PHY-1068165 and Dr. V. Ramachandra Rao Summer Fellowship at Cornell University
Identifiers
External DOI: https://doi.org/10.1103/PhysRevA.88.053601
This record's URL: https://www.repository.cam.ac.uk/handle/1810/299213
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