Spatial correlations in drivendissipative photonic lattices
Abstract
In this paper, we study the nonequilibrium steadystate of interacting photons in cavity arrays as described by the drivendissipative Bose–Hubbard and spin1/2 XY model. For this purpose, we develop a selfconsistent expansion in the inverse coordination number of the array ($$\sim 1/z$$) to solve the Lindblad master equation of these systems beyond the meanfield 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 cornerspace renormalization technique. We then apply this method to obtain insights beyond meanfield in two particular settings: (i) we show that the gas–liquid transition in the drivendissipative Bose–Hubbard model is characterized by large density fluctuations and bunched photon statistics. (ii) We study the antibunching–bunching transition of the nearestneighbor correlator in the drivendissipative spin1/2 XY model and provide a simple explanation of this phenomenon.
 Authors:

 ETH Zurich, Zurich (Switzerland)
 Princeton Univ., Princeton, NJ (United States)
 Publication Date:
 Research Org.:
 Princeton Univ., NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22). Materials Sciences & Engineering Division
 OSTI Identifier:
 1500093
 Grant/Contract Number:
 SC0016011
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 New Journal of Physics
 Additional Journal Information:
 Journal Volume: 19; Journal Issue: 12; Journal ID: ISSN 13672630
 Publisher:
 IOP Publishing
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum simulations; cavity arrays; cavity QED; circuit QED; manybody physics with photons
Citation Formats
Biondi, Matteo, Lienhard, Saskia, Blatter, Gianni, Türeci, Hakan E., and Schmidt, Sebastian. Spatial correlations in drivendissipative photonic lattices. United States: N. p., 2017.
Web. doi:10.1088/13672630/aa99b2.
Biondi, Matteo, Lienhard, Saskia, Blatter, Gianni, Türeci, Hakan E., & Schmidt, Sebastian. Spatial correlations in drivendissipative photonic lattices. United States. doi:10.1088/13672630/aa99b2.
Biondi, Matteo, Lienhard, Saskia, Blatter, Gianni, Türeci, Hakan E., and Schmidt, Sebastian. Fri .
"Spatial correlations in drivendissipative photonic lattices". United States. doi:10.1088/13672630/aa99b2. https://www.osti.gov/servlets/purl/1500093.
@article{osti_1500093,
title = {Spatial correlations in drivendissipative photonic lattices},
author = {Biondi, Matteo and Lienhard, Saskia and Blatter, Gianni and Türeci, Hakan E. and Schmidt, Sebastian},
abstractNote = {In this paper, we study the nonequilibrium steadystate of interacting photons in cavity arrays as described by the drivendissipative Bose–Hubbard and spin1/2 XY model. For this purpose, we develop a selfconsistent expansion in the inverse coordination number of the array ($\sim 1/z$) to solve the Lindblad master equation of these systems beyond the meanfield 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 cornerspace renormalization technique. We then apply this method to obtain insights beyond meanfield in two particular settings: (i) we show that the gas–liquid transition in the drivendissipative Bose–Hubbard model is characterized by large density fluctuations and bunched photon statistics. (ii) We study the antibunching–bunching transition of the nearestneighbor correlator in the drivendissipative spin1/2 XY model and provide a simple explanation of this phenomenon.},
doi = {10.1088/13672630/aa99b2},
journal = {New Journal of Physics},
issn = {13672630},
number = 12,
volume = 19,
place = {United States},
year = {2017},
month = {12}
}
Web of Science
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