Variational study of polarons and bipolarons in a 1D Bose lattice gas in both superfluid and Mott regimes
arXiv:1308.4876 · doi: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.
9 pages, 7 figures (13 subfigures)
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Cited by in corpus (9)
- Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
- Lattice polarons across the superfluid to Mott insulator transition
- Polaronic effects in one- and two-band quantum systems
- Mobile impurities interacting with a few one-dimensional lattice bosons
- Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
- Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
- Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
- Counterflow of lattice polarons in harmonically confined optical lattices
- Effective two- and three-body interactions between dressed impurities in a tilted double-well potential