An exact reformulation of the Bose-Hubbard model in terms of a stochastic Gutzwiller ansatz

Details An exact reformulation of the Bose-Hubbard model in terms of a stochastic Gutzwiller ansatz An exact reformulation of the Bose-Hubbard model in terms of a stochastic Gutzwiller ansatz

2003-03-13

arxiv.org/abs/cond-mat/0303259v2

New Journal of Physics 5 (2003) 91.1-91.13

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1088/1367-2630/5/1/391

We extend our exact reformulation of the bosonic many-body problem in terms of a stochastic Hartree ansatz to a stochastic Gutzwiller ansatz for the Bose Hubbard model. This makes the corresponding Monte Carlo method more efficient for strongly correlated bosonic phases like the Mott insulator phase or the Tonks phase. We present a first numerical application of this stochastic method to a system of impenetrable bosons on a 1D lattice showing the transition from the discrete Tonks gas to the Mott phase as the chemical potential is increased.

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