Non-Markovian Dynamics of Open Quantum Systems via Auxiliary Particles with Exact Operator Constraint
arXiv:2308.00968 · doi:10.1103/PhysRevResearch.6.013220
Abstract
We introduce an auxiliary-particle field theory to treat the non-Markovian dynamics of driven-dissipative quantum systems of the Jaynes-Cummings type. It assigns an individual quantum field to each reservoir state and provides an analytic, faithful representation of the coupled system-bath dynamics. We apply the method to a driven-dissipative photon Bose-Einstein condensate (BEC) coupled to a reservoir of dye molecules with electronic and vibronic excitations. The complete phase diagram of this system exhibits a hidden, non-Hermitian phase transition separating temporally oscillating from biexponentially decaying photon density correlations within the BEC. On one hand, this provides a qualitative distinction of the thermal photon BEC from a laser. On the other hand, it shows that one may continuously tune from the BEC to the lasing phase by circumventing a critical point. This auxiliary-particle method is generally applicable to the dynamics of open, non-Markovian quantum systems.
15 pages, 13 figures
References in corpus (35)
- The physics of exceptional points
- Bose-Einstein condensation of photons in an optical microcavity
- Keldysh Field Theory for Driven Open Quantum Systems
- The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
- Introduction to Nonequilibrium Quantum Field Theory
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Bose-Einstein Condensation in a Plasmonic Lattice
- Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
- Nonequilibrium Model of Photon Condensation
- Demonstration of non-Markovian process characterisation and control on a quantum processor
- Observation of grand-canonical number statistics in a photon Bose-Einstein condensate
- Tensor network simulation of non-Markovian dynamics in organic polaritons
- Non-equilibrium dynamics of the Anderson impurity model
- Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems
- Statistical physics of Bose-Einstein condensed light in a dye microcavity
- Thermalization and breakdown of thermalization in photon condensates
- Observation of a non-Hermitian phase transition in an optical quantum gas
- Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
- Driven-dissipative, non-equilibrium Bose-Einstein condensation of just a few photons
- Multimode Organic Polariton Lasing
- Phonon-induced optical dephasing in single organic molecules
- Lasing without Inversion in Circuit Quantum Electrodynamics
- Decondensation in non-equilibrium photonic condensates: when less is more
- Spatial dynamics, thermalization, and gain clamping in a photon condensate
- Thermally Condensing Photons into a Coherently Split State of Light
- Conserving Diagrammatic Approximations for Quantum Impurity Models: NCA and CTMA
- Interplay of coherent and dissipative dynamics in condensates of light
- Adaptive Numerical Solution of Kadanoff-Baym Equations
- Dynamics and correlations of a Bose-Einstein condensate of photons
- Theory of the non-equilibrium quasiparticle distribution induced by Kondo defects
- Determining the validity of cumulant expansions for central spin models
- Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
- Fermi and non-Fermi liquid behavior in quantum impurity systems: Conserving slave boson theory
- Pseudo-thermalization in driven-dissipative non-Markovian open quantum systems
- Fluctuation dynamics of an open photon Bose-Einstein condensate
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- From Lasers to Photon Bose--Einstein Condensates: A Unified Description via an Open-Dissipative Bose--Einstein Distribution
- Stabilizing open photon condensates by ghost-attractor dynamics