SuperfluidtoMottinsulator transition in the onedimensional BoseHubbard model for arbitrary integer filling factors
Abstract
We study the quantum phase transition between the superfluid and the Mott insulator in the onedimensional (1D) BoseHubbard model. Using the timeevolving blockdecimation 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 superfluidtoMottinsulator 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:

 Computational Condensed Matter Physics Laboratory, RIKEN, Wako, Saitama JP3510198 (Japan)
 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 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; DIELECTRIC MATERIALS; HUBBARD MODEL; INSTANTONS; ONEDIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; SUPERFLUIDITY; TUNNEL EFFECT
Citation Formats
Danshita, Ippei, and Polkovnikov, Anatoli. SuperfluidtoMottinsulator transition in the onedimensional BoseHubbard model for arbitrary integer filling factors. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.063637.
Danshita, Ippei, & Polkovnikov, Anatoli. SuperfluidtoMottinsulator transition in the onedimensional BoseHubbard model for arbitrary integer filling factors. United States. doi:10.1103/PHYSREVA.84.063637.
Danshita, Ippei, and Polkovnikov, Anatoli. Thu .
"SuperfluidtoMottinsulator transition in the onedimensional BoseHubbard model for arbitrary integer filling factors". United States. doi:10.1103/PHYSREVA.84.063637.
@article{osti_22095688,
title = {SuperfluidtoMottinsulator transition in the onedimensional BoseHubbard 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 onedimensional (1D) BoseHubbard model. Using the timeevolving blockdecimation 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 superfluidtoMottinsulator 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 = {10502947},
number = 6,
volume = 84,
place = {United States},
year = {2011},
month = {12}
}