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

Marcos Rigol; Alejandro Muramatsu

doi:10.1063/1.2178050

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

Marcos Rigol, Alejandro Muramatsu

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Effective Models for Low-Dimensional Strongly Correlated Systems
Pages	283-295
Number of pages	13
DOIs	https://doi.org/10.1063/1.2178050
State	Published - Feb 15 2006
Event	Effective Models for Low-Dimensional Strongly Correlated Systems - Peyresq, France Duration: Sep 12 2005 → Sep 16 2005

Publication series

Name	AIP Conference Proceedings
Volume	816
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Other

Other	Effective Models for Low-Dimensional Strongly Correlated Systems
Country/Territory	France
City	Peyresq
Period	9/12/05 → 9/16/05

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1063/1.2178050

Cite this

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title = "Numerically exact simulations for ultra-cold atoms in and out of equilibrium",

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.",

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N2 - 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.

AB - 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.

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

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