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Title: Superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors

Abstract

We study the quantum phase transition between the superfluid and the Mott insulator in the one-dimensional (1D) Bose-Hubbard model. Using the time-evolving block-decimation method, we numerically calculate the tunneling splitting of two macroscopically distinct states with different winding numbers. From the scaling of the tunneling splitting with respect to the system size, we determine the critical point of the superfluid-to-Mott-insulator transition for arbitrary integer filling factors. We find that the critical values versus the filling factor in 1D, 2D, and 3D are well approximated by a simple analytical function. We also discuss the condition for determining the transition point from a perspective of the instanton method.

Authors:
 [1];  [2]
  1. Computational Condensed Matter Physics Laboratory, RIKEN, Wako, Saitama JP-351-0198 (Japan)
  2. Department of Physics, Boston University, Boston, Massachusetts 02215 (United States)
Publication Date:
OSTI Identifier:
22095688
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 6; Other Information: (c) 2011 American Institute of Physics; 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; DIELECTRIC MATERIALS; HUBBARD MODEL; INSTANTONS; ONE-DIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; SUPERFLUIDITY; TUNNEL EFFECT

Citation Formats

Danshita, Ippei, and Polkovnikov, Anatoli. Superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.063637.
Danshita, Ippei, & Polkovnikov, Anatoli. Superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors. United States. doi:10.1103/PHYSREVA.84.063637.
Danshita, Ippei, and Polkovnikov, Anatoli. Thu . "Superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors". United States. doi:10.1103/PHYSREVA.84.063637.
@article{osti_22095688,
title = {Superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors},
author = {Danshita, Ippei and Polkovnikov, Anatoli},
abstractNote = {We study the quantum phase transition between the superfluid and the Mott insulator in the one-dimensional (1D) Bose-Hubbard model. Using the time-evolving block-decimation method, we numerically calculate the tunneling splitting of two macroscopically distinct states with different winding numbers. From the scaling of the tunneling splitting with respect to the system size, we determine the critical point of the superfluid-to-Mott-insulator transition for arbitrary integer filling factors. We find that the critical values versus the filling factor in 1D, 2D, and 3D are well approximated by a simple analytical function. We also discuss the condition for determining the transition point from a perspective of the instanton method.},
doi = {10.1103/PHYSREVA.84.063637},
journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 84,
place = {United States},
year = {2011},
month = {12}
}