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

Journal Article · Thu Dec 15 04:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.063637· OSTI ID:22095688

Danshita, Ippei ^[1]; Polkovnikov, Anatoli ^[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)

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.

• OSTI ID: 22095688
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIELECTRIC MATERIALS
HUBBARD MODEL
INSTANTONS
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
SUPERFLUIDITY
TUNNEL EFFECT