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Title: Quantum theory of cold bosonic atoms in optical lattices

Abstract

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which provides a qualitative description of both superfluid and insulator states. The theory is based on a change of variables in which the boson coherent state amplitude is replaced by an effective potential which promotes phase coherence between different number states on each lattice site. It is illustrated here by applying it to uniform and fully frustrated lattice cases but is simple enough that it can be applied to spatially inhomogeneous lattice systems.

Authors:
 [1];  [2];  [3];  [1]
  1. Department of Physics, University of Texas at Austin, Austin, Texas 78712 (United States)
  2. (United States)
  3. Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht (Netherlands)
Publication Date:
OSTI Identifier:
22068767
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; AMPLITUDES; ANNIHILATION OPERATORS; APPROXIMATIONS; ATOMS; BOSONS; DEPTH; EIGENSTATES; INTERACTING BOSON MODEL; PHASE TRANSFORMATIONS; POTENTIALS; SUPERFLUIDITY

Citation Formats

Tilahun, Dagim, Department of Physics, Texas State University, San Marcos, Texas 78666, Duine, R. A., and MacDonald, A. H. Quantum theory of cold bosonic atoms in optical lattices. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033622.
Tilahun, Dagim, Department of Physics, Texas State University, San Marcos, Texas 78666, Duine, R. A., & MacDonald, A. H. Quantum theory of cold bosonic atoms in optical lattices. United States. doi:10.1103/PHYSREVA.84.033622.
Tilahun, Dagim, Department of Physics, Texas State University, San Marcos, Texas 78666, Duine, R. A., and MacDonald, A. H. Thu . "Quantum theory of cold bosonic atoms in optical lattices". United States. doi:10.1103/PHYSREVA.84.033622.
@article{osti_22068767,
title = {Quantum theory of cold bosonic atoms in optical lattices},
author = {Tilahun, Dagim and Department of Physics, Texas State University, San Marcos, Texas 78666 and Duine, R. A. and MacDonald, A. H.},
abstractNote = {Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which provides a qualitative description of both superfluid and insulator states. The theory is based on a change of variables in which the boson coherent state amplitude is replaced by an effective potential which promotes phase coherence between different number states on each lattice site. It is illustrated here by applying it to uniform and fully frustrated lattice cases but is simple enough that it can be applied to spatially inhomogeneous lattice systems.},
doi = {10.1103/PHYSREVA.84.033622},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}