Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-10-19
Phys. Rev. A 84, 063637 (2011)
Physics
Condensed Matter
Quantum Gases
6 pages, 6 figures, 2 tables
Scientific paper
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.
Danshita Ippei
Polkovnikov Anatoli
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