Exactness of mean-field equations for open Dicke models with an application to pattern retrieval dynamics
arXiv:2009.13932 · doi:10.1103/PhysRevLett.126.230601
Abstract
Open quantum Dicke models are paradigmatic systems for the investigation of light-matter interaction in out-of-equilibrium quantum settings. Albeit being structurally simple, these models can show intriguing physics. However, obtaining exact results on their dynamical behavior is challenging, since it requires the solution of a many-body quantum system, with several interacting continuous and discrete degrees of freedom. Here, we make a step forward in this direction by proving the validity of the mean-field semi-classical equations for open multimode Dicke models, which, to the best of our knowledge, so far has not been rigorously established. We exploit this result to show that open quantum multimode Dicke models can behave as associative memories, displaying a nonequilibrium phase transition towards a pattern-recognition phase.
16 pages, 5 figures
References in corpus (7)
- Dynamical phase transition in the open Dicke model
- Suppressing and restoring the Dicke superradiance transition by dephasing and decay
- Enhancing associative memory recall and storage capacity using confocal cavity QED
- The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
- Quantum annealing with ultracold atoms in a multimode optical resonator
- Dissipative phase transitions in the fully-connected Ising model with -spin interaction
- Dicke transition in open many-body systems determined by fluctuation effects
Cited by in corpus (59)
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Exact solution of a boundary time-crystal phase transition: time-translation symmetry breaking and non-Markovian dynamics of correlations
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Symmetries and conserved quantities of boundary time crystals in generalized spin models
- Efficient many-body non-Markovian dynamics of organic polaritons
- Investigating the Collective Nature of Cavity Modified Chemical Kinetics under Vibrational Strong Coupling
- Dissipative phase transitions in -photon driven quantum nonlinear resonators
- Many-Body Open Quantum Systems
- Entangled time-crystal phase in an open quantum light-matter system
- OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
- Quantum fluctuations and correlations in open quantum Dicke models
- Exact solution of the infinite-range dissipative transverse-field Ising model
- Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals
- Conventional and unconventional Dicke models: Multistabilities and nonequilibrium dynamics
- Determining the validity of cumulant expansions for central spin models
- Atom-only theories for U(1) symmetric cavity-QED models
- Boundary Time Crystals as AC sensors: enhancements and constraints
- Quantum thermodynamics of boundary time-crystals
- Phase diagram of quantum generalized Potts-Hopfield neural networks
- Quantum associative memory with a single driven-dissipative nonlinear oscillator
- Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application
- Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance
- Crafting the dynamical structure of synchronization by harnessing bosonic multilevel cavity QED
- Nonequilibrium thermodynamics and power generation in open quantum optomechanical systems
- Long-range interacting systems are locally non-interacting
- Measurement-induced phase transitions in monitored infinite-range interacting systems
- Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
- Non-Gaussian dynamics of quantum fluctuations and mean-field limit in open quantum central spin systems
- Nonstabilizerness of a Boundary Time Crystal
- Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
- Linear response theory for cavity QED materials at arbitrary light-matter coupling strengths
- Quantum memories for squeezed and coherent superpositions in a driven-dissipative nonlinear oscillator
- Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
- Exact mean-field solution of a spin chain with short-range and long-range interactions
- Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
- Symmetries & Correlations in Continous Time Crystals
- Lee-Yang theory of the superradiant phase transition in the open Dicke model
- Designing open quantum systems for enabling quantum enhanced sensing through classical measurements
- Dynamics of spin-momentum entanglement from superradiant phase transitions
- Analysis of chaos and regularity in the open Dicke model
- Dipolar ordering transitions in many-body quantum optics: Analytical diagrammatic approach to equilibrium quantum spins
- Genuine Quantum effects in Dicke-type Models at large atom numbers
- Raman-phonon-polariton condensation in a transversely pumped cavity
- Dissipative chaos and steady state of open Tavis-Cummings dimer
- Quantum bistability in the hyperfine ground state of atoms
- The failure of semiclassical approach in the dissipative fully-connected Ising model
- Thermodynamics of coupled time crystals with an application to energy storage
- Non-Markovian effects in long-range polariton-mediated energy transfer
- Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
- Chaos in Time: A Dissipative Continuous Quasi Time Crystals
- Accelerating the approach of dissipative quantum spin systems towards stationarity through global spin rotations
- Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
- Spontaneous superradiant photon current
- Excitation density controlled regimes of collective light--matter dynamics
- Theory of dynamical superradiance in organic materials
- Nonequilibrium dark space phase transition
- Process Tensor Approaches to Non-Markovian Quantum Dynamics
- Linear and nonlinear vibrational excitation driven by molecular polaritons
- Nonergodic delocalized paramagnetic states in quantum neural networks