Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2106.00863

Bose-Einstein Condensation for Lattice Bosons

Tohru Koma

Published Jun 2, 2021• 1 citation
arXivHTMLPDF

Abstract

We present a class of models of interacting lattice bosons which show complete Bose-Einstein condensation for the ground state.
DOI
10.48550/arxiv.2106.00863

Related papers

Models of interacting bosons with exact ground states: A unified approach

Zhaoyu Han, Steven Allan Kivelson

We define an infinite class of ``frustration-free'' interacting lattice quantum Hamiltonians for bosons, constructed such that their exact ground states have a density distribution specified by the Boltzmann weight of a corresponding classical lattice gas problem. By appropriately choosing the classical weights, we obtain boson representations of various known solvable models, including quantum dimer and vertex models, toric code, and certain Levin-Wen string-net models. We also systematically construct solvable models with other interesting ground states, including quantum spin liquids, supersolids, ``Bose-Einstein insulators,'' Bose liquids with ``Bose surfaces,'' and Bose-Einstein condensates that permit adiabatic evolution from a noninteracting limit to a Gutzwiller-projected limit.

arXiv:2408.15319•Physical review. B./Physical review. B•May 14, 2025•3 citations

Bose-Einstein Condensation in Quantum Lattice Model

Tosizumi Aoki

Journal of the Physical Society of Japan•Feb 15, 1992•2 citations

Local Gaussian domination and Bose condensation in lattice boson model

Дмитрий Петрович Санкович

Physics Letters A•Sep 5, 2013•3 citations

Superfluid behavior of a Bose–Einstein condensate in a random potential

Martin Könenberg, T Moser, Robert Seiringer +1 more

We investigate the relation between Bose–Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder.

arXiv:1407.3568•New Journal of Physics•Jan 15, 2015•13 citations

Nonextensive Bose–Einstein condensation model

Tom Michoel, André F. Verbeure

The imperfect Boson gas supplemented with a gentle repulsive interaction is completely solved. In particular, it is proved that it has nonextensive Bose–Einstein condensation, i.e., there is condensation without macroscopic occupation of the ground (k=0) state level.

arXiv:math-ph/0011047•Journal of Mathematical Physics•Mar 1, 1999•29 citations

27p-PS-42 Bose-Einstein Condensation in quantum lattice model

Toshisumi Aoki

年会講演予稿集•Mar 12, 1992•0 citations
We define an infinite class of ``frustration-free'' interacting lattice quantum Hamiltonians for bosons, constructed such that their exact ground states have a density distribution specified by the Boltzmann weight of a corresponding classical lattice gas problem. By appropriately choosing the classical weights, we obtain boson representations of various known solvable models, including quantum dimer and vertex models, toric code, and certain Levin-Wen string-net models. We also systematically construct solvable models with other interesting ground states, including quantum spin liquids, supersolids, ``Bose-Einstein insulators,'' Bose liquids with ``Bose surfaces,'' and Bose-Einstein condensates that permit adiabatic evolution from a noninteracting limit to a Gutzwiller-projected limit.