Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-10-20
Phys. Rev. B 83, 134507 (2011)
Physics
Condensed Matter
Quantum Gases
15 pages, 5 figures
Scientific paper
10.1103/PhysRevB.83.134507
We extend the variational cluster approach to deal with strongly correlated lattice bosons in the superfluid phase. To this end, we reformulate the approach within a pseudoparticle formalism, whereby cluster excitations are described by particlelike excitations. The approximation amounts to solving a multicomponent noninteracting bosonic system by means of a multimode Bogoliubov approximation. A source-and-drain term is introduced in order to break U(1) symmetry at the cluster level. We provide an expression for the grand potential, the single-particle normal and anomalous Green's functions, the condensate density, and other static quantities. As a first nontrivial application of the method we choose the two-dimensional Bose-Hubbard model and evaluate results in both the Mott and the superfluid phases. Our results show an excellent agreement with quantum Monte Carlo calculations.
Arrigoni Enrico
der Linden Wolfgang von
Knap Michael
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