Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices

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dc.creatorRigol, Marcos
dc.creatorMuramatsu, Alejandro
dc.date2003-09-29
dc.date2004-05-14
dc.date.accessioned2026-07-07T02:53:51Z
dc.date.available2026-07-07T02:53:51Z
dc.descriptionUsing quantum Monte Carlo (QMC) simulations we study the ground-state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice. Since due to the confining potential the density is space dependent, Mott-insulating domains always coexist with metallic regions, such that global quantities are not appropriate to describe the system. We define a local compressibility that characterizes the Mott-insulating regions and analyze other local quantities. It is shown that the momentum distribution function, a quantity that is commonly considered in experiments, fails in giving a clear signal of the Mott-insulator transition. Furthermore, we analyze a mean-field approach to these systems and compare it with the numerically exact QMC results. Finally, we determine a generic form for the phase diagram that allows us to predict the phases to be observed in the experiments.
dc.descriptionRevTex file, 13 pages, 19 figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0309670
dc.identifierhttp://arxiv.org/abs/cond-mat/0309670
dc.identifierPhys. Rev. A 69, 053612 (2004)
dc.identifierdoi:10.1103/PhysRevA.69.053612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22320
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleQuantum Monte Carlo study of confined fermions in one-dimensional optical lattices
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