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Title: Strong-coupling perturbation theory for the extended Bose-Hubbard model

Abstract

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on (d>1)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase boundaries between the incompressible (Mott or charge-density-wave insulators) and the compressible (superfluid or supersolid) phases are derived up to third order in the hopping t. We also briefly discuss possible implications of our results in the context of ultracold dipolar Bose gases with dipole-dipole interactions loaded into optical lattices.

Authors:
 [1];  [2]
  1. Joint Quantum Institute, National Institute of Standards and Technology and University of Maryland, Gaithersburg, Maryland 20899-8423 (United States)
  2. Department of Physics, Georgetown University, Washington, DC 20057 (United States)
Publication Date:
OSTI Identifier:
21304749
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.79.053634; (c) 2009 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:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN GAS; BOSONS; CHARGE DENSITY; DIPOLES; GROUND STATES; HUBBARD MODEL; INTERACTIONS; PERTURBATION THEORY; SUPERFLUIDITY

Citation Formats

Iskin, M, and Freericks, J K. Strong-coupling perturbation theory for the extended Bose-Hubbard model. United States: N. p., 2009. Web. doi:10.1103/PHYSREVA.79.053634.
Iskin, M, & Freericks, J K. Strong-coupling perturbation theory for the extended Bose-Hubbard model. United States. https://doi.org/10.1103/PHYSREVA.79.053634
Iskin, M, and Freericks, J K. 2009. "Strong-coupling perturbation theory for the extended Bose-Hubbard model". United States. https://doi.org/10.1103/PHYSREVA.79.053634.
@article{osti_21304749,
title = {Strong-coupling perturbation theory for the extended Bose-Hubbard model},
author = {Iskin, M and Freericks, J K},
abstractNote = {We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on (d>1)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase boundaries between the incompressible (Mott or charge-density-wave insulators) and the compressible (superfluid or supersolid) phases are derived up to third order in the hopping t. We also briefly discuss possible implications of our results in the context of ultracold dipolar Bose gases with dipole-dipole interactions loaded into optical lattices.},
doi = {10.1103/PHYSREVA.79.053634},
url = {https://www.osti.gov/biblio/21304749}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 79,
place = {United States},
year = {2009},
month = {5}
}