Real-Time Ginzburg-Landau Theory for Bosons in Optical Lattices

Details Real-Time Ginzburg-Landau Theory for Bosons in Optical Lattices Real-Time Ginzburg-Landau Theory for Bosons in Optical Lattices

2010-03-22

arxiv.org/abs/1003.4197v1

Laser Phys. 21, 1459 (2011)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1134/S1054660X11150096

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 transitions it turns out that particle/hole dispersions in the Mott phase map continuously onto corresponding amplitude/phase excitations in the superfluid phase. Furthermore, in the superfluid phase we find a sound mode, which is in accordance with recent Bragg spectroscopy measurements in the Bogoliubov regime, as well as an additional gapped mode, which seems to have been detected via lattice modulation.

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