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Phase Transitions in a Bose-Hubbard Model with Cavity-Mediated Global-Range Interactions
- Source :
- Phys. Rev. A 94, 023632 (2016)
- Publication Year :
- 2016
-
Abstract
- We study a system with competing short- and global-range interactions in the framework of the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram of the system and observe four different phases: a superfluid, a supersolid, a Mott insulator and a charge density wave, where the transitions between the various phases can be either of first or second order. We qualitatively support these results using Monte-Carlo simulations. An analysis of the low-energy excitations shows that the second-order phase transition from the charge density wave to the supersolid is associated with the softening of particle- and hole-like excitations which give rise to a gapless mode and an amplitude Higgs mode in the supersolid phase. This amplitude Higgs mode is further transformed into a roton mode which softens at the supersolid to superfluid phase transition.
- Subjects :
- Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. A 94, 023632 (2016)
- Publication Type :
- Report
- Accession number :
- edsarx.1604.00865
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevA.94.023632