Monte Carlo study of two-dimensional Bose-Hubbard model

One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark calculations, based on exact quantum Monte Carlo simulations, for the emulator to be tested against. We rep...

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Bibliographic Details
Published in:arXiv.org 2007-10
Main Authors: Capogrosso-Sansone, Barbara, \c{S}ebnem Güneş Söyler, Prokof'ev, Nikolay, Svistunov, Boris
Format: Article
Language:English
Subjects:
Computer simulation
Condensed matter physics
Critical point
Critical temperature
Emulators
Fluids
Monte Carlo simulation
Optical lattices
Phase diagrams
Superfluidity
Two dimensional models
Unity
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Summary:One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark calculations, based on exact quantum Monte Carlo simulations, for the emulator to be tested against. We report results for the ground state phase diagram of the two-dimensional Bose-Hubbard model at unity filling factor. We precisely trace out the critical behavior of the system and resolve the region of small insulating gaps, \Delta
ISSN:2331-8422
DOI:10.48550/arxiv.0710.2703