Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
arXiv:1210.3623 · doi:10.1103/PhysRevA.87.023831
Abstract
We investigate non-equilibrium phase transitions for driven atomic ensembles, interacting with a cavity mode, coupled to a Markovian dissipative bath. In the thermodynamic limit and at low-frequencies, we show that the distribution function of the photonic mode is thermal, with an effective temperature set by the atom-photon interaction strength. This behavior characterizes the static and dynamic critical exponents of the associated superradiance transition. Motivated by these considerations, we develop a general Keldysh path integral approach, that allows us to study physically relevant nonlinearities beyond the idealized Dicke model. Using standard diagrammatic techniques, we take into account the leading-order corrections due to the finite number of atoms N. For finite N, the photon mode behaves as a damped, classical non-linear oscillator at finite temperature. For the atoms, we propose a Dicke action that can be solved for any N and correctly captures the atoms' depolarization due to dissipative dephasing.
20 pages, 9 figures. Extended discussion of 1/N corrections
References in corpus (15)
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Dissipative Phase Transition in Central Spin Systems
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Non-equilibrium quantum condensation in an incoherently pumped dissipative system
- Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
- Nonequilibrium quantum criticality in open electronic systems
- Ultracold atoms in optical lattices generated by quantized light fields
- Dissipative Dynamics and Phase Transitions in Fermionic Systems
- Atom-light crystallization of BECs in multimode cavities: Nonequilibrium classical and quantum phase transitions, emergent lattices, supersolidity, and frustration
- Multi-mode mediated exchange coupling in cavity QED
- Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice
- Mean field theory and fluctuation spectrum of a pumped, decaying Bose-Fermi system across the quantum condensation transition
- Quantum charge glasses of itinerant fermions with cavity-mediated long-range interactions
- Current driven quantum criticality in itinerant electron ferromagnets
- Nonequilibrium-induced metal-superconductor quantum phase transition in graphene
Cited by in corpus (38)
- Quantum trajectories and open many-body quantum systems
- Dynamical phase transition in the open Dicke model
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Variational principle for steady states of dissipative quantum many-body systems
- Universal non-equilibrium properties of dissipative Rydberg gases
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- Measuring the dynamic structure factor of a quantum gas undergoing a structural phase transition
- An adjustable-length cavity and Bose-Einstein condensate apparatus for multimode cavity QED
- Prethermalization of atoms due to photon-mediated long-range interactions
- Metastability in an open quantum Ising model
- Quantum kinetics of ultracold fermions coupled to an optical resonator
- Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
- Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
- Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
- Dicke phase transition without total spin conservation
- Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
- Two-mode Dicke model from non-degenerate polarization modes
- Real photons from vacuum fluctuations in optomechanics: the role of polariton interactions
- Critical exponent of quantum phase transitions driven by colored noise
- The effect of active photons on dynamical frustration in cavity QED
- Damping of quasiparticles in a Bose-Einstein condensate coupled to an optical cavity
- Generating Functional Approach for Spontaneous Coherence in Semiconductor Electron-Hole-Photon Systems
- Self-ordering dynamics of ultracold atoms in multicolored cavity fields
- Self-Consistent Projection Operator Theory in Nonlinear Quantum Optical Systems: A case study on Degenerate Optical Parametric Oscillators
- Quantum features of entropy production in driven-dissipative transitions
- Open quantum reaction-diffusion dynamics: absorbing states and relaxation
- Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
- Dynamic criticality far-from-equilibrium: one-loop flow of Burgers-Kardar-Parisi-Zhang systems with broken Galilean invariance
- Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
- Non-equilibrium phases of Fermi gas inside a cavity with imbalanced pumping
- Tailored jump operators for purely dissipative quantum magnetism
- Phase diagram for injection locking a superradiant laser
- Dynamic phase transitions of a driven Ising chain in a dissipative cavity
- Fragile fate of driven-dissipative XY phase in two dimensions
- Non-Markovian dynamics of few emitters in a laser-driven cavity
- The Single Particle Excitation Spectrum of Degenerate Fermi gases in a ring cavity
- Polaritonic linear dynamic in Keldysh formalism