Article citationsMore>>
F. Gerbier, S. Trotzky, S. Foelling, U. Schnorrberger, J. D. Thompson, A. Widera, I. Bloch, L. Pollet, M. Troyer, B. Capogrosso-Sansone, N. V. Prokof’ev and B. V. Svistunov, “Expansion of a Quantum Gas Released from an Optical Lattice,” Physical Review Letters, Vol. 101, No. 15, 2008, Article ID: 155303.
doi:10.1103/PhysRevLett.101.155303
has been cited by the following article:
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TITLE:
Green’s Function Approach to the Bose-Hubbard Model
AUTHORS:
Matthias Ohliger, Axel Pelster
KEYWORDS:
Bose-Hubbard Model; Quantum Phase Transition; Phase Boundary
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.3 No.2,
May
24,
2013
ABSTRACT:
We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence of the Green function leads to non-perturbative results for the boundary between the superfluid and the Mott phase for finite temperatures. Whereas the first-order calculation reproduces the seminal mean-field result, the second order goes beyond and shifts the phase boundary in the immediate vicinity of the critical parameters determined by high-precision Monte-Carlo simulations of the Bose-Hubbard model. In addition, our Green’s function approach allows for calculating the excitation spectrum both for zero and finite temperature and for determining the effective masses of particles and holes.
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