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Critical parameters from trap-size scaling in trapped particle systems

Ceccarelli, Giacomo and Torrero, Christian and Vicari, Ettore (2013) Critical parameters from trap-size scaling in trapped particle systems. Physical review. B, Condensed matter and materials physics, 87 . 024513. ISSN 1550-235X

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We investigate the critical behavior of trapped particle systems at the low-temperature superfluid transition. In particular, we consider the three-dimensional Bose-Hubbard model in the presence of a trapping harmonic potential coupled with the particle density, which is a realistic model of cold bosonic atoms in optical lattices. We present a numerical study based on quantum Monte Carlo simulations, analyzed in the framework of the trap-size scaling (TSS). We show how the critical parameters can be derived from the trap-size dependences of appropriate observables, matching them with TSS. This provides a systematic scheme which is supposed to exactly converge to the critical parameters of the transition in the large trap-size limit. Our numerical analysis may provide a guide for experimental investigations of trapped systems at finite-temperature and quantum transitions, showing how critical parameters may be determined by looking at the scaling of the critical modes with respect to the trap size, i.e. by matching the trap-size dependence of the experimental data with the expected TSS Ansatz.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 11 Feb 2014 23:26
Last Modified: 11 Feb 2014 23:28
URI: http://eprints.adm.unipi.it/id/eprint/1868

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