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Title: Time-of-flight observables and the formation of Mott domains of fermions and bosons on optical lattices

Abstract

We study, using quantum Monte Carlo simulations, the energetics of the formation of Mott domains of fermions and bosons trapped on one-dimensional lattices. We show that, in both cases, the sum of kinetic and interaction energies exhibits minima when Mott domains appear in the trap. In addition, we examine the derivatives of the kinetic and interaction energies, and of their sum, which display clear signatures of the Mott transition. We discuss the relevance of these findings to time-of-flight experiments that could allow the detection of the metal-Mott-insulator transition in confined fermions on optical lattices, and support established results on the superfluid-Mott-insulator transition in confined bosons on optical lattices.

Authors:
;  [1];  [2];  [3]
  1. Physics Department, University of California, Davis, California 95616 (United States)
  2. Department of Physics, University of Southern California, Los Angeles, California 90089 (United States)
  3. Institut Non-Lineaire de Nice, UMR 6618 CNRS, Universite de Nice-Sophia Antipolis, 1361 route des Lucioles, 06560 Valbonne (France)
Publication Date:
OSTI Identifier:
20788023
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 73; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevB.73.121103; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOSONS; COMPUTERIZED SIMULATION; FERMIONS; METALS; MONTE CARLO METHOD; ONE-DIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; SUPERFLUIDITY; TIME-OF-FLIGHT METHOD; TRAPPING; TRAPS

Citation Formats

Rigol, M., Scalettar, R. T., Sengupta, P., and Batrouni, G. G. Time-of-flight observables and the formation of Mott domains of fermions and bosons on optical lattices. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.73.1.
Rigol, M., Scalettar, R. T., Sengupta, P., & Batrouni, G. G. Time-of-flight observables and the formation of Mott domains of fermions and bosons on optical lattices. United States. doi:10.1103/PHYSREVB.73.1.
Rigol, M., Scalettar, R. T., Sengupta, P., and Batrouni, G. G. Wed . "Time-of-flight observables and the formation of Mott domains of fermions and bosons on optical lattices". United States. doi:10.1103/PHYSREVB.73.1.
@article{osti_20788023,
title = {Time-of-flight observables and the formation of Mott domains of fermions and bosons on optical lattices},
author = {Rigol, M. and Scalettar, R. T. and Sengupta, P. and Batrouni, G. G.},
abstractNote = {We study, using quantum Monte Carlo simulations, the energetics of the formation of Mott domains of fermions and bosons trapped on one-dimensional lattices. We show that, in both cases, the sum of kinetic and interaction energies exhibits minima when Mott domains appear in the trap. In addition, we examine the derivatives of the kinetic and interaction energies, and of their sum, which display clear signatures of the Mott transition. We discuss the relevance of these findings to time-of-flight experiments that could allow the detection of the metal-Mott-insulator transition in confined fermions on optical lattices, and support established results on the superfluid-Mott-insulator transition in confined bosons on optical lattices.},
doi = {10.1103/PHYSREVB.73.1},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 12,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
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