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Title: Superfluidity and interference pattern of ultracold bosons in optical lattices

Abstract

We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a phase variation imposed by means of twisted boundary conditions. We compare the superfluid fraction to other physical quantities, i.e., the interference pattern after ballistic expansion, the quasimomentum distribution, and number fluctuations. We have performed exact numerical calculations of all these quantities for small one-dimensional systems. We show that the superfluid fraction alone exhibits a clear signature of the Mott-insulator transition. Observables like the fringe visibility, which probe only ground-state properties, do not provide direct information on superfluidity and the Mott-insulator transition.

Authors:
;  [1]
  1. Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU (United Kingdom)
Publication Date:
OSTI Identifier:
20633801
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 67; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.67.031602; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN GAS; BOSONS; BOUNDARY CONDITIONS; COMPARATIVE EVALUATIONS; EXPANSION; FLUCTUATIONS; GROUND STATES; HUBBARD MODEL; INTERFERENCE; LATTICE FIELD THEORY; METALS; ONE-DIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; PROBES; SUPERFLUIDITY

Citation Formats

Roth, R, and Burnett, K. Superfluidity and interference pattern of ultracold bosons in optical lattices. United States: N. p., 2003. Web. doi:10.1103/PhysRevA.67.031602.
Roth, R, & Burnett, K. Superfluidity and interference pattern of ultracold bosons in optical lattices. United States. https://doi.org/10.1103/PhysRevA.67.031602
Roth, R, and Burnett, K. 2003. "Superfluidity and interference pattern of ultracold bosons in optical lattices". United States. https://doi.org/10.1103/PhysRevA.67.031602.
@article{osti_20633801,
title = {Superfluidity and interference pattern of ultracold bosons in optical lattices},
author = {Roth, R and Burnett, K},
abstractNote = {We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a phase variation imposed by means of twisted boundary conditions. We compare the superfluid fraction to other physical quantities, i.e., the interference pattern after ballistic expansion, the quasimomentum distribution, and number fluctuations. We have performed exact numerical calculations of all these quantities for small one-dimensional systems. We show that the superfluid fraction alone exhibits a clear signature of the Mott-insulator transition. Observables like the fringe visibility, which probe only ground-state properties, do not provide direct information on superfluidity and the Mott-insulator transition.},
doi = {10.1103/PhysRevA.67.031602},
url = {https://www.osti.gov/biblio/20633801}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 67,
place = {United States},
year = {Sat Mar 01 00:00:00 EST 2003},
month = {Sat Mar 01 00:00:00 EST 2003}
}