TY  - JOUR
A1  - Grass, T. D.
A1  - dos Santos, Francisca E. A.
A1  - Pelster, Axel
T1  - Real-time Ginzburg-Landau theory for bosons in optical lattices
JF  - Laser physics
N2  - 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.
Y1  - 2011
U6  - https://doi.org/10.1134/S1054660X11150096
SN  - 1054-660X
SN  - 1555-6611
VL  - 21
IS  - 8
SP  - 1459
EP  - 1463
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -