Numerically exact simulations for ultra-cold atoms in and out of equilibrium

Marcos Antonio Rigol, Alejandro Muramatsu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We discuss in this paper ground-state and nonequilibrium properties of ultracold atoms in optical lattices in the strongly correlated limit. We review fermionic Mott-insulators studied on the basis of quantum Monte Carlo simulations, where local quantum criticality is displayed in one dimension. We continue with exact results for hard-core bosons in one dimension, showing their universal properties in equilibrium, and their nonequilibrium dynamics. Here we show that starting from a Fock state, a quasi-condensate emerges at finite momentum during free expansion. On the other hand, the free evolution of an initially confined quasi-condensate of hard-core bosons leads to a bosonic gas with a Fermi edge, and hence a fermionization that can only be obtained out of equilibrium.

Original languageEnglish (US)
Title of host publicationEffective Models for Low-Dimensional Strongly Correlated Systems
Pages283-295
Number of pages13
DOIs
StatePublished - Feb 15 2006
EventEffective Models for Low-Dimensional Strongly Correlated Systems - Peyresq, France
Duration: Sep 12 2005Sep 16 2005

Publication series

NameAIP Conference Proceedings
Volume816
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherEffective Models for Low-Dimensional Strongly Correlated Systems
CountryFrance
CityPeyresq
Period9/12/059/16/05

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Rigol, M. A., & Muramatsu, A. (2006). Numerically exact simulations for ultra-cold atoms in and out of equilibrium. In Effective Models for Low-Dimensional Strongly Correlated Systems (pp. 283-295). (AIP Conference Proceedings; Vol. 816). https://doi.org/10.1063/1.2178050