Dissipative quantum phase transition of light in a generalized Jaynes-Cummings-Rabi model

Abstract

The mean-field steady states of a generalized model of $N$ two-state systems interacting with one mode of the radiation field in the presence of external driving and dissipation are surveyed as a function of three control parameters: one governs the interaction strength relative to the resonance frequency, thus accessing the Dicke quantum phase transition, a second the relative strength of counter-rotating to rotating-wave interactions, and a third the amplitude of an external field driving the cavity mode. We unify the dissipative extension of the Dicke quantum phase transition with the recently reported breakdown of photon blockade [H.~J.~Carmichael, Phys.\ Rev.\ X {\bf 5}, 031028 (2015)]; key to the unification is a previously unreported phase of the Dicke model and a renormalized critical drive strength in the breakdown of photon blockade. For the simplest case of one two-state system, we complement mean-field results with a full quantum treatment: we derive quasi-energies to recover the renormalized critical drive strength, extend the multi-photon resonances of photon blockade to a counter-rotating interaction, and explore quantum fluctuations through quantum trajectory simulations.

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Cited by in corpus (28)

• Spectral theory of Liouvillians for dissipative phase transitions
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Squeezed light induced symmetry breaking superradiant phase transition
• Unified Superradiant phase transitions
• Critical Theory for the Breakdown of Photon Blockade
• Quantum simulation of multiphoton and nonlinear dissipative spin-boson models
• Finite-size scaling of the photon-blockade breakdown dissipative quantum phase transition
• Quantum features of entropy production in driven-dissipative transitions
• Resilience of the superradiant phase against ${\mathbf{A}}^2$ effects in the quantum Rabi dimer
• Probing the spectrum of the Jaynes-Cummings-Rabi model by its isomorphism to an atom inside a parametric amplifier cavity
• Revealing the nature of non-equilibrium phase transitions with quantum trajectories
• Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems
• Quasienergy collapse in the driven Jaynes--Cummings--Rabi model: correspondence with a charged Dirac particle in an electromagnetic field
• Semiclassical bifurcations and quantum trajectories: a case study of the open Bose-Hubbard dimer
• Entropy production dynamics in quench protocols of a driven-dissipative critical system
• Stark-induced tunable phase transition in the two-photon Dicke-Stark model
• Time-resolved observation of a dynamical phase transition of atoms in a cavity
• Strong-coupling limit of the driven dissipative light-matter interaction
• Symmetries of Liouvillians of squeeze-driven parametric oscillators
• Raman-phonon-polariton condensation in a transversely pumped cavity
• Unconventional saturation effects at intermediate drive in a lossy cavity coupled to few emitters
• Is the photon-blockade breakdown a quantum effect? A neoclassical story
• Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
• Lasing and counter-lasing phase transitions in a cavity QED system
• Spontaneous superradiant photon current
• Masked states of an atom coupled to a standing-wave cavity mode
• Robustness of the Floquet-assisted superradiant phase and possible laser operation
• Superquantization rule for multistability in driven-dissipative quantum systems