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복잡계 이론물리 연구단
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Non-Gibbs states on a Bose-Hubbard lattice

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Title
Non-Gibbs states on a Bose-Hubbard lattice
Author(s)
Alexander Yu. Cherny; Thomas Engl; Sergej Flach
Publication Date
2019-02
Journal
PHYSICAL REVIEW A, v.99, no.2, pp.023603 -
Publisher
AMER PHYSICAL SOC
Abstract
We study the equilibrium properties of the repulsive quantum Bose-Hubbard model at high temperatures in arbitrary dimensions, with and without disorder. In its microcanonical setting the model conserves energy and particle number. The microcanonical dynamics is characterized by a pair of two densities: energy density E and particle number density n. The macrocanonical Gibbs distribution also depends on two parameters: the inverse non-negative temperature β and the chemical potential μ. We prove the existence of non-Gibbs states, that is, pairs (En) which cannot be mapped onto (β,μ). The separation line in the density control parameter space between Gibbs and non-Gibbs states E∼n2 corresponds to infinite temperature β=0. The non-Gibbs phase cannot be cured into a Gibbs one within the standard Gibbs formalism using negative temperatures. © 2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/5905
ISSN
2469-9926
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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