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Title: Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves

Abstract

For systems of interacting, ultracold spin-zero neutral bosonic atoms, harmonically trapped and subject to an optical lattice potential, we derive an Extended Bose Hubbard (EBH) model by developing a systematic expansion for the Hamiltonian of the system in powers of the lattice parameters and of a scale parameter, the lattice attenuation factor. We identify the dominant terms that need to be retained in realistic experimental conditions, up to nearest-neighbor interactions and nearest-neighbor hoppings conditioned by the on-site occupation numbers. In the mean field approximation, we determine the free energy of the system and study the phase diagram both at zero and at finite temperature. At variance with the standard on site Bose Hubbard model, the zero-temperature phase diagram of the EBH model possesses a dual structure in the Mott insulating regime. Namely, for specific ranges of the lattice parameters, a density wave phase characterizes the system at integer fillings, with domains of alternating mean occupation numbers that are the atomic counterparts of the domains of staggered magnetizations in an antiferromagnetic phase. We show as well that in the EBH model, a zero-temperature quantum phase transition to pair superfluidity is, in principle, possible, but completely suppressed at the lowest order inmore » the lattice attenuation factor. Finally, we determine the possible occurrence of the different phases as a function of the experimentally controllable lattice parameters.« less

Authors:
; ;  [1]
  1. Dipartimento di Fisica 'E. R. Caianiello', Universita di Salerno, Coherentia CNR-INFM, and INFN Sezione di Napoli, Gruppo Collegato di Salerno, Via S. Allende, 84081 Baronissi (Saudi Arabia) (Italy)
Publication Date:
OSTI Identifier:
20786767
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.013625; (c) 2006 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; ANTIFERROMAGNETISM; APPROXIMATIONS; ATOMS; ATTENUATION; BOSONS; DENSITY; FREE ENERGY; HAMILTONIANS; HUBBARD MODEL; LATTICE FIELD THEORY; LATTICE PARAMETERS; MAGNETIZATION; MEAN-FIELD THEORY; PHASE DIAGRAMS; PHASE TRANSFORMATIONS; POTENTIALS; SPIN; SUPERFLUIDITY; TRAPPING

Citation Formats

Mazzarella, G, Giampaolo, S M, and Illuminati, F. Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Mazzarella, G, Giampaolo, S M, & Illuminati, F. Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves. United States. https://doi.org/10.1103/PHYSREVA.73.0
Mazzarella, G, Giampaolo, S M, and Illuminati, F. 2006. "Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves". United States. https://doi.org/10.1103/PHYSREVA.73.0.
@article{osti_20786767,
title = {Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves},
author = {Mazzarella, G and Giampaolo, S M and Illuminati, F},
abstractNote = {For systems of interacting, ultracold spin-zero neutral bosonic atoms, harmonically trapped and subject to an optical lattice potential, we derive an Extended Bose Hubbard (EBH) model by developing a systematic expansion for the Hamiltonian of the system in powers of the lattice parameters and of a scale parameter, the lattice attenuation factor. We identify the dominant terms that need to be retained in realistic experimental conditions, up to nearest-neighbor interactions and nearest-neighbor hoppings conditioned by the on-site occupation numbers. In the mean field approximation, we determine the free energy of the system and study the phase diagram both at zero and at finite temperature. At variance with the standard on site Bose Hubbard model, the zero-temperature phase diagram of the EBH model possesses a dual structure in the Mott insulating regime. Namely, for specific ranges of the lattice parameters, a density wave phase characterizes the system at integer fillings, with domains of alternating mean occupation numbers that are the atomic counterparts of the domains of staggered magnetizations in an antiferromagnetic phase. We show as well that in the EBH model, a zero-temperature quantum phase transition to pair superfluidity is, in principle, possible, but completely suppressed at the lowest order in the lattice attenuation factor. Finally, we determine the possible occurrence of the different phases as a function of the experimentally controllable lattice parameters.},
doi = {10.1103/PHYSREVA.73.0},
url = {https://www.osti.gov/biblio/20786767}, journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}