Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-04-08
Phys. Rev. A 80, 033612 (2009)
Physics
Condensed Matter
Other Condensed Matter
14 pages, 14 figures, final version
Scientific paper
10.1103/PhysRevA.80.033612
Spectral properties of the Bose-Hubbard model and a recently proposed coupled-cavity model are studied by means of quantum Monte Carlo simulations in one dimension. Both models exhibit a quantum phase transition from a Mott insulator to a superfluid phase. The dynamic structure factor $S(k,\omega)$ and the single-particle spectrum $A(k,\omega)$ are calculated, focusing on the parameter region around the phase transition from the Mott insulator with density one to the superfluid phase, where correlations are important. The strongly interacting nature of the superfluid phase manifests itself in terms of additional gapped modes in the spectra. Comparison is made to recent analytical work on the Bose-Hubbard model. Despite some subtle differences due to the polaritonic particles in the cavity model, the gross features are found to be very similar to the Bose-Hubbard case. For the polariton model, emergent particle-hole symmetry near the Mott lobe tip is demonstrated, and temperature and detuning effects are analyzed. A scaling analysis for the generic transition suggests mean field exponents, in accordance with field theory results.
Evertz Hans Gerd
Hohenadler Martin
Pippan Peter
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