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Trap-size scaling in confined particle systems at quantum transitions

Campostrini, Massimo and Vicari, Ettore (2010) Trap-size scaling in confined particle systems at quantum transitions. Physical review. A, Atomic, Molecular, and Optical Physics, 81 . 023606. ISSN 1094-1622

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We develop a trap-size scaling theory for trapped particle systems at quantum transitions. As a theoretical laboratory, we consider a quantum XY chain in an external transverse field acting as a trap for the spinless fermions of its quadratic Hamiltonian representation. We discuss trap-size scaling at the Mott insulator to superfluid transition in the Bose-Hubbard model. We present exact and accurate numerical results for the XY chain and for the low-density Mott transition in the hard-core limit of the one-dimensional Bose-Hubbard model. Our results are relevant for systems of cold atomic gases in optical lattices.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI FISICA " E. FERMI"
Depositing User: dott.ssa Sandra Faita
Date Deposited: 08 Apr 2015 17:59
Last Modified: 08 Apr 2015 17:59
URI: http://eprints.adm.unipi.it/id/eprint/1763

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