Paper doi abstract bibtex

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.

@article{ejima_dynamic_2012, title = {Dynamic density-density correlations in interacting {Bose} gases on optical lattices}, volume = {391}, issn = {1742-6596}, url = {http://iopscience.iop.org/1742-6596/391/1/012143}, doi = {10.1088/1742-6596/391/1/012143}, abstract = {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.}, language = {en}, number = {1}, urldate = {2015-02-06}, journal = {Journal of Physics: Conference Series}, author = {Ejima, S. and Fehske, H. and Gebhard, F.}, month = dec, year = {2012}, pages = {012143}, file = {Ejima et al_2012_Dynamic density-density correlations in interacting Bose gases on optical.pdf:/home/schlady/.zotero/zotero/za3jlr8i.default/zotero/storage/HTX5EE7W/Ejima et al_2012_Dynamic density-density correlations in interacting Bose gases on optical.pdf:application/pdf;Snapshot:/home/schlady/.zotero/zotero/za3jlr8i.default/zotero/storage/FZGKI2IP/012143.html:text/html} }

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