Trap-size scaling in confined particle systems at quantum transitions

Details Trap-size scaling in confined particle systems at quantum transitions Trap-size scaling in confined particle systems at quantum transitions

2009-06-15

arxiv.org/abs/0906.2640v3

Phys. Rev. A 81, 023606 (2010)

Physics

Condensed Matter

Statistical Mechanics

Revised and greatly expanded. 15 pages, 7 figures

Scientific paper

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.

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