The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation

The Bose-Einstein condensation in the hard-core boson limit (HCB) of the Bose-Hubbard model with two local states and the particle hopping in the excited band only is investigated. For the purpose of considering the non-ergodicity, a single-particle spectral density is calculated in the random phase...

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Main Authors: I.V. Stasyuk, O.V. Velychko
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2012-10-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.15.33002
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author I.V. Stasyuk
O.V. Velychko
author_facet I.V. Stasyuk
O.V. Velychko
author_sort I.V. Stasyuk
collection DOAJ
description The Bose-Einstein condensation in the hard-core boson limit (HCB) of the Bose-Hubbard model with two local states and the particle hopping in the excited band only is investigated. For the purpose of considering the non-ergodicity, a single-particle spectral density is calculated in the random phase approximation by means of the temperature boson Green functions. The non-ergodic contribution to the momentum distribution function of particles (connected with the static density fluctuations) increases significantly and becomes comparable with the ergodic contribution in the superfluid phase near the tricritical point.
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spelling doaj.art-5cab86bc9c964fcc92b29da564f223d72022-12-21T18:58:28ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2012-10-0115333002The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensationI.V. StasyukO.V. VelychkoThe Bose-Einstein condensation in the hard-core boson limit (HCB) of the Bose-Hubbard model with two local states and the particle hopping in the excited band only is investigated. For the purpose of considering the non-ergodicity, a single-particle spectral density is calculated in the random phase approximation by means of the temperature boson Green functions. The non-ergodic contribution to the momentum distribution function of particles (connected with the static density fluctuations) increases significantly and becomes comparable with the ergodic contribution in the superfluid phase near the tricritical point.http://dx.doi.org/10.5488/CMP.15.33002Bose-Hubbard modelhard-core bosonsBose-Einstein condensationexcited bandnon-ergodicity
spellingShingle I.V. Stasyuk
O.V. Velychko
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
Condensed Matter Physics
Bose-Hubbard model
hard-core bosons
Bose-Einstein condensation
excited band
non-ergodicity
title The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
title_full The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
title_fullStr The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
title_full_unstemmed The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
title_short The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
title_sort two state bose hubbard model in the hard core boson limit non ergodicity and the bose einstein condensation
topic Bose-Hubbard model
hard-core bosons
Bose-Einstein condensation
excited band
non-ergodicity
url http://dx.doi.org/10.5488/CMP.15.33002
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