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Dynamic density-density correlations in interacting Bose gases on optical lattices
- In order to identify possible experimental signatures of the superfluid to Mott-insulator quantum phase transition we calculate the charge structure factor S(k, ω) for the one-dimensional Bose-Hubbard model using the dynamical density-matrix renormalisation group (DDMRG) technique. Particularly we analyse the behaviour of S(k, ω) by varying – at zero temperature–the Coulomb interaction strength within the first Mott lobe. For strong interactions, in the Mott-insulator phase, we demonstrate that the DDMRG results are well reproduced by a strong-coupling expansion, just as the quasi-particle dispersion. In the super-fluid phase we determine the linear excitation spectrum near k = 0. In one dimension, the amplitude mode is absent which mean-field theory suggests for higher dimensions.
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| Author: | S Ejima, H Fehske, F Gebhard |
|---|---|
| URN: | urn:nbn:de:gbv:9-opus-60030 |
| DOI: | https://doi.org/10.1088/1742-6596/391/1/012143 |
| ISSN: | 1742-6596 |
| Parent Title (English): | International Journal of Modern Physics: Conference Series |
| Publisher: | IOP Publishing |
| Place of publication: | Bristol |
| Document Type: | Article |
| Language: | English |
| Date of first Publication: | 2012/12/14 |
| Release Date: | 2022/11/29 |
| GND Keyword: | - |
| Volume: | 391 |
| Issue: | 1 |
| Article Number: | 012143 |
| Page Number: | 4 |
| Licence (German): |  Creative Commons - Namensnennung |