Open access
Date
2017-12Type
- Journal Article
ETH Bibliography
yes
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Abstract
We study the nonequilibrium steady-state of interacting photons in cavity arrays as described by the driven-dissipative Bose–Hubbard and spin-1/2 XY model. For this purpose, we develop a self-consistent expansion in the inverse coordination number of the array (~1/z) to solve the Lindblad master equation of these systems beyond the mean-field approximation. Our formalism is compared and benchmarked with exact numerical methods for small systems based on an exact diagonalization of the Liouvillian and a recently developed corner-space renormalization technique. We then apply this method to obtain insights beyond mean-field in two particular settings: (i) we show that the gas–liquid transition in the driven-dissipative Bose–Hubbard model is characterized by large density fluctuations and bunched photon statistics. (ii) We study the antibunching–bunching transition of the nearest-neighbor correlator in the driven-dissipative spin-1/2 XY model and provide a simple explanation of this phenomenon. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000226142Publication status
publishedExternal links
Journal / series
New Journal of PhysicsVolume
Pages / Article No.
Publisher
IOP PublishingSubject
quantum simulations; cavity arrays; cavity QED; circuit QED; many-body physics with photonsOrganisational unit
03369 - Blatter, Johann W. (emeritus) / Blatter, Johann W. (emeritus)
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ETH Bibliography
yes
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