Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
arXiv:2506.22121 · doi:10.1103/zwfx-m4nq
Abstract
Information-theoretic quantities have received significant attention as system-independent measures of correlations in many-body quantum systems, e.g., as universal order parameters of synchronization. In this work, we present a method to determine the macroscopic behavior of the steady-state multipartite mutual information between interacting units undergoing Markovian evolution that is invariant under unit permutations. Using this approach, we extend a conclusion previously drawn for classical systems that the extensive scaling of mutual information is either not possible for systems relaxing to fixed points of the mean-field dynamics or such scaling is not robust to perturbations of system dynamics. In contrast, robust extensive scaling occurs for system relaxing to time-dependent attractors, e.g., limit cycles. We illustrate the applicability of our method on the driven-dissipative Lipkin-Meshkov-Glick model.
12 pages, 4 figures
References in corpus (87)
- Many-body localization, thermalization, and entanglement
- Quantum entanglement in condensed matter systems
- Area laws in quantum systems: mutual information and correlations
- Classical Correlation and Quantum Discord in Critical Systems
- Absence of Quantum Time Crystals
- Spectral theory of Liouvillians for dissipative phase transitions
- Bloch vectors for qudits
- Prospects for a mHz-linewidth laser
- Boundary time crystals
- Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
- Detecting multiparticle entanglement of Dicke states
- Quantum and classical thermal correlations in the XY spin-1/2 chain
- Quantum Synchronization of Two Ensembles of Atoms
- Exploring dynamical phase transitions with cold atoms in an optical cavity
- Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
- Unconventional magnetism via optical pumping of interacting spin systems
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Synchronization, quantum correlations and entanglement in oscillator networks
- Quantum synchronization and entanglement generation
- Mutual information as an order parameter for quantum synchronization
- Quantum correlations and mutual synchronization
- Quantum signatures of Chimera states
- Spontaneous synchronization and quantum correlation dynamics of open spin systems
- Synchronization of Interacting Quantum Dipoles
- Nonequilibrium thermodynamics of coupled molecular oscillators: The energy cost and optimal design for synchronization
- Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
- Critical exponents in metastable decay via quantum activation
- Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
- Finite-temperature mutual information in a simple phase transition
- Total correlations of the diagonal ensemble herald the many-body localization transition
- The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators
- Dissipation-Assisted Quantum Information Processing with Trapped Ions
- Dissipative phase transitions: Independent versus collective decay and spin squeezing
- Landscapes of Non-gradient Dynamics Without Detailed Balance: Stable Limit Cycles and Multiple Attractors
- Speed limits in Liouville space for open quantum systems
- Entanglement structure of current-driven diffusive fermion systems
- Open quantum generalisation of Hopfield neural networks
- Critical behavior and synchronization of discrete stochastic phase coupled oscillators
- Theory of classical metastability in open quantum systems
- Thermodynamic consistency of quantum master equations
- Dissipative time crystals with long-range Lindbladians
- Universality in driven Potts models
- Symmetry-breaking dynamics of the finite-size Lipkin-Meshkov-Glick model near ground state
- Continuous and discontinuous phase transitions and partial synchronization in stochastic three-state oscillators
- Macroscopic Stochastic Thermodynamics
- Quantifying genuine multipartite correlations and their pattern complexity
- Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system
- Quantum spin chain dissipative mean-field dynamics
- Effects of Disorder on Synchronization of Discrete Phase-Coupled Oscillators
- Steady-state spin synchronization through the collective motion of trapped ions
- Entangled time-crystal phase in an open quantum light-matter system
- Minimal model for spontaneous quantum synchronization
- Genuine Multipartite Correlations in a Boundary Time Crystal
- Synchronization of micromasers
- Non-markovian mesoscopic dissipative dynamics of open quantum spin chains
- Diverging current fluctuations in critical Kerr resonators
- Synchronisation phase as an indicator of persistent quantum correlations between subsystems
- Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models
- Extensive Long-Range Entanglement in a Nonequilibrium Steady State
- Enhanced Quantum Synchronization via Quantum Machine Learning
- Macroscopic quantum synchronization effects
- Entanglement negativity in a fermionic chain with dissipative defects: Exact results
- Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application
- Phase diagram of quantum generalized Potts-Hopfield neural networks
- Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model
- An infinite-period phase transition versus nucleation in a stochastic model of collective oscillations
- Long-range interacting systems are locally non-interacting
- Total correlations of the diagonal ensemble as a generic indicator for ergodicity breaking in quantum systems
- Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
- Stochastic approach to entropy production in chemical chaos
- Maxwell's demons in multipartite quantum correlated systems
- Collective behavior of coupled nonuniform stochastic oscillators
- Stochastic Kuramoto oscillators with discrete phase states
- Synchronization of coupled noisy oscillators: Coarse-graining from continuous to discrete phases
- Non-Markovianity through Multipartite Correlation Measures
- Nonstabilizerness of a Boundary Time Crystal
- Logarithmic entanglement scaling in dissipative free-fermion systems
- Fisher information as general metrics of quantum synchronization
- Minimum-dissipation principle for synchronised stochastic oscillators far from equilibrium
- Genuine multipartite correlations in Dicke Superradiance
- Early detection of synchrony in coupled oscillator model
- Small-amplitude synchronisation in driven Potts models
- Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
- Symmetry shapes thermodynamics of macroscopic quantum systems
- Dissipation enables robust extensive scaling of multipartite correlations
- A Real-time Instanton Approach to Quantum Activation
- Genuine -partite correlations and entanglement in the ground state of the Dicke model for interacting qubits