Journal
PHYSICAL REVIEW A
Volume 95, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.95.012128
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Funding
- ERC [616233]
- EU-IP-SIQS
- EU-IP-QUIC
- SNS Projects
- QSYNC
- National Science Foundation [NSF PHY11-25915]
- European Research Council (ERC) [616233] Funding Source: European Research Council (ERC)
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We theoretically investigate the critical properties of a single driven-dissipative nonlinear photon mode. In a well-defined thermodynamical limit of large excitation numbers, the exact quantum solution describes a first-order phase transition in the regime where semiclassical theory predicts optical bistability. We study the behavior of the complex spectral gap associated with the Liouvillian superoperator of the corresponding master equation. We show that in this limit the Liouvillian gap vanishes exponentially and that the bimodality of the photon Wigner function disappears. The connection between the considered thermodynamical limit of large photon numbers for the single-mode cavity and the thermodynamical limit of many cavities for a driven-dissipative Bose-Hubbard system is discussed.
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