Quasiequilibrium Mixture of Itinerant and Localized Bose Atoms in Optical Lattice
V.I. Yukalov, A. Rakhimov, and S. Mardonov

TL;DR
This paper investigates conditions allowing a quasiequilibrium coexistence of itinerant and localized bosonic atoms in an optical lattice at zero temperature, using a two-band boson Hubbard model.
Contribution
It introduces a model demonstrating the possibility of such coexistence at zero temperature and identifies the minimal interaction ratio needed.
Findings
Existence of quasiequilibrium mixture at zero temperature
Minimal on-site repulsion to tunneling ratio identified
Conditions differ from equilibrium lattice scenarios
Abstract
Conditions are studied under which there can exist a quasiequilibrium mixture of itinerant and localized bosonic atoms in an optical lattice, even at zero temperature and at integer filling factor, when such a coexistence is impossible for an equilibrium lattice. The consideration is based on a model having the structure of a two-band, or two-component, boson Hubbard Hamiltonian. The minimal value for the ratio of on-site repulsion to tunneling parameter, necessary for the occurrence of such a mixture, is found.
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