Local Gaussian domination and Bose condensation in lattice boson model

Autor:	D.P. Sankovich
Rok vydání:	2013
Předmět:	Condensed Matter::Quantum Gases Physics Phase transition Annihilation Condensed Matter::Other Gaussian General Physics and Astronomy Position and momentum space Bose–Hubbard model Upper and lower bounds symbols.namesake Quantum mechanics Lattice (order) symbols Boson
Zdroj:	Physics Letters A. 377:2905-2908
ISSN:	0375-9601
DOI:	10.1016/j.physleta.2013.08.045
Popis:	We use infrared bounds method to study the existence of a Bose condensation phase transition in a three-dimensional lattice model of interacting bosons. Upper bound (local Gaussian domination) is presented on the Bogolyubov inner product of creation and annihilation bosonic operators in momentum space. We focus on the situation with a non-negative chemical potential. The presence of a Bose condensation is established for sufficiently small superstable interaction potential. A special case of the model considered is the Bose–Hubbard model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8f778fd600e0d329c7c72bfbce77804c https://doi.org/10.1016/j.physleta.2013.08.045 Zobrazit plný text záznamu Full Text from ScienceDirect