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Condensed Matter > Statistical Mechanics

arXiv:1512.07788 (cond-mat)
[Submitted on 24 Dec 2015]

Title:Phonon-like excitations in the two-state Bose-Hubbard model

Authors:I.V. Stasyuk, O.V. Velychko, O. Vorobyov
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Abstract:The spectrum of phonon-like collective excitations in the system of Bose-atoms in optical lattice (more generally, in the system of quantum particles described by the Bose-Hubbard model) is investigated. Such excitations appear due to displacements of particles with respect to their local equilibrium positions. The two-level model taking into account the transitions of bosons between the ground state and the first excited state in potential wells, as well as interaction between them, is used. Calculations are performed within the random phase approximation in the hard-core boson limit. It is shown that excitation spectrum in normal phase consists of the one exciton-like band, while in the phase with BE condensate an additional band appears. The positions, spectral weights and widths of bands strongly depend on chemical potential of bosons and temperature. The conditions of stability of a system with respect to the lowering of symmetry and displacement modulation are discussed.
Comments: 14 pages, 5 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1512.07788 [cond-mat.stat-mech]
  (or arXiv:1512.07788v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.1512.07788
Journal reference: Condens. Matter Phys., 2015, vol. 18, No. 4, 43004
Related DOI: https://doi.org/10.5488/CMP.18.43004

Submission history

From: O. Velychko [view email] [via Bohdan Markiv as proxy]
[v1] Thu, 24 Dec 2015 11:17:47 UTC (332 KB)
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