# Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach

## Abstract

The dynamics of the collective excitations of a lattice Bose gas at zero temperature is systematically investigated using the time-dependent Gutzwiller mean-field approach. The excitation modes are determined within the framework of the linear-response theory as solutions of the generalized Bogoliubov-de Gennes equations valid in the superfluid and Mott-insulator phases at arbitrary values of parameters. The expression for the sound velocity derived in this approach coincides with the hydrodynamic relation. We calculate the transition amplitudes for the excitations in the Bragg scattering process and show that the higher excitation modes make significant contributions. We simulate the dynamics of the density perturbations and show that their propagation velocity in the limit of week perturbation is satisfactorily described by the predictions of the linear-response analysis.

- Authors:

- Fakultaet fuer Physik der Universitaet Duisburg-Essen, Campus Duisburg, Lotharstrasse 1, D-47048 Duisburg (Germany)
- (Germany)

- Publication Date:

- OSTI Identifier:
- 22068747

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. A

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BOSE-EINSTEIN GAS; COLLECTIVE EXCITATIONS; DENSITY; DISTURBANCES; MATHEMATICAL SOLUTIONS; MEAN-FIELD THEORY; PERTURBATION THEORY; SCATTERING; SOUND WAVES; SUPERFLUIDITY; TIME DEPENDENCE; TRANSITION AMPLITUDES; VELOCITY

### Citation Formats

```
Krutitsky, Konstantin V., Navez, Patrick, and Institut fuer Theoretische Physik, TU Dresden, D-01062 Dresden.
```*Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.033602.

```
Krutitsky, Konstantin V., Navez, Patrick, & Institut fuer Theoretische Physik, TU Dresden, D-01062 Dresden.
```*Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach*. United States. doi:10.1103/PHYSREVA.84.033602.

```
Krutitsky, Konstantin V., Navez, Patrick, and Institut fuer Theoretische Physik, TU Dresden, D-01062 Dresden. Thu .
"Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach". United States. doi:10.1103/PHYSREVA.84.033602.
```

```
@article{osti_22068747,
```

title = {Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach},

author = {Krutitsky, Konstantin V. and Navez, Patrick and Institut fuer Theoretische Physik, TU Dresden, D-01062 Dresden},

abstractNote = {The dynamics of the collective excitations of a lattice Bose gas at zero temperature is systematically investigated using the time-dependent Gutzwiller mean-field approach. The excitation modes are determined within the framework of the linear-response theory as solutions of the generalized Bogoliubov-de Gennes equations valid in the superfluid and Mott-insulator phases at arbitrary values of parameters. The expression for the sound velocity derived in this approach coincides with the hydrodynamic relation. We calculate the transition amplitudes for the excitations in the Bragg scattering process and show that the higher excitation modes make significant contributions. We simulate the dynamics of the density perturbations and show that their propagation velocity in the limit of week perturbation is satisfactorily described by the predictions of the linear-response analysis.},

doi = {10.1103/PHYSREVA.84.033602},

journal = {Physical Review. A},

issn = {1050-2947},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}