Excitation Spectra of Bosons in Optical Lattices from Schwinger-Keldysh Calculation
arXiv:1011.5639 · doi:10.1103/PhysRevA.84.013613
Abstract
Within the Schwinger-Keldysh formalism we derive a Ginzburg-Landau theory for the Bose-Hubbard model which describes the real-time dynamics of the complex order parameter field. Analyzing the excitations in the vicinity of the quantum phase transition it turns out that particle/hole dispersions in the Mott phase map continuously onto corresponding amplitude/phase excitations in the superfluid phase, which have been detected recently by Bragg spectroscopy measurements.
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