Photon and polariton fluctuations in arrays of QED-cavities
arXiv:0806.0942 · doi:10.1209/0295-5075/83/47011
Abstract
We propose to detect the Mott insulator-superfluid quantum phase transition in an array of coupled cavities by studying the polariton and photon fluctuations in a block of linear dimension M (in units of the lattice constant of the array). We explicitly show this for a one-dimensional array; the analysis can be however extended to higher dimensions. In the Mott phase polariton fluctuations are independent of the block size. In the superfluid phase they grow logarithmically with M, the prefactor being related to the compressibility of the system. In the case of photon fluctuations, the critical behaviour is encoded in the subleading scaling with the block dimension, while the leading behaviour is linear in M and non-critical. Our results have been obtained by means of the density matrix renormalization group numerical algorithm.
6 pages, 7 figures
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Cited by in corpus (8)
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- Phase diagram of the extended Bose Hubbard model
- Many-body phenomena in QED-cavity arrays
- Excitation spectra of strongly correlated lattice bosons and polaritons
- Emission characteristics of laser-driven dissipative coupled-cavity systems
- Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems
- Polaritonic properties of the Jaynes-Cummings lattice model in two dimensions
- Phase diagram of a QED-cavity array coupled via a N-type level scheme