Work

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

Year: 2003

Type: article

Abstract: 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. The use of this ansatz makes the corresponding Monte Carlo scheme 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.

Source: New Journal of Physics

DOI: 10.1088/1367-2630/5/1/391

Authors: Iacopo Carusotto, Yvan Castin

Institution: Laboratoire Kastler Brossel

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,610

Funders: École Normale Supérieure, Centre National de la Recherche Scientifique