Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories
arXiv:2003.08425 · doi:10.1103/PhysRevE.102.042115
Abstract
We investigate theoretically the emergence of classical statistical physics in a finite quantum system that is either totally isolated or otherwise subjected to a quantum measurement process. We show via a random matrix theory approach to nonintegrable quantum systems that the set of outcomes of the measurement of a macroscopic observable evolve in time like stochastic variables, whose variance satisfies the celebrated Einstein relation for Brownian diffusion. Our results show how to extend the framework of eigenstate thermalization to the prediction of properties of quantum measurements on an otherwise closed quantum system. We show numerically the validity of the random matrix approach in quantum chain models.
arXiv commentUpdated to published version in Physical Review E
References in corpus (61)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Quantum thermalization through entanglement in an isolated many-body system
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Canonical Typicality
- Eigenstate Thermalization Hypothesis
- The approach to thermal equilibrium in quantized chaotic systems
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- A blueprint for demonstrating quantum supremacy with superconducting qubits
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- Ergodic dynamics and thermalization in an isolated quantum system
- Thermodynamics of Quantum Jump Trajectories
- Typicality for Generalized Microcanonical Ensembles
- Implementation of Spin Hamiltonians in Optical Lattices
- Thermal Fluctuations in Quantized Chaotic Systems
- Equilibration of quantum systems and subsystems
- Spin nematic correlations in bilinear-biquadratic S=1 spin chains
- Spin nematics in the bilinear-biquadratic S=1 spin chain
- Thouless and relaxation time scales in many-body quantum systems
- Typical fast thermalization processes in closed many-body systems
- Time-resolved observation of thermalization in an isolated quantum system
- Detailed Balance of Thermalization dynamics in Rydberg atom quantum simulators
- Quantum Approach to a Derivation of the Second Law of Thermodynamics
- Canonical thermalization
- Thermodynamic entropy of a many body energy eigenstate
- Hierarchical Bounds on Entropy Production Inferred from Partial Information
- Equilibration time scales of physically relevant observables
- Quantum coarse-grained entropy and thermalization in closed systems
- Excited Eigenstates and Strength Functions for Isolated Systems of Interacting Particles
- Thermalization and Return to Equilibrium on Finite Quantum Lattice Systems
- Equilibration via Gaussification in fermionic lattice systems
- Time evolution of correlation functions in quantum many-body systems
- Eigenstate Randomization Hypothesis: Why Does the Long-Time Average Equal the Microcanonical Average?
- Thermalization of a strongly interacting closed spin system: From coherent many-body dynamics to a Fokker-Planck equation
- Realistic many-body quantum systems vs full random matrices: static and dynamical properties
- Relaxation and Thermalization of Isolated Many-Body Quantum Systems
- Relaxation theory for perturbed many-body quantum systems versus numerics and experiment
- Off-Diagonal Observable Elements from Random Matrix Theory: Distributions, Fluctuations, and Eigenstate Thermalization
- Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
- Quantum Martingale Theory and Entropy Production
- Exponentially fast dynamics of chaotic many-body systems
- Impact of eigenstate thermalization on the route to equilibrium
- Quantum Chaotic Fluctuation-Dissipation Theorem: Effective Brownian Motion in Closed Quantum Systems
- Measurement quench in many-body systems
- Temperature of a single chaotic eigenstate
- Macroscopically deterministic, Markovian thermalization in finite quantum spin systems
- Transient fluctuation theorem in closed quantum systems
- Numerical Evidence for Approximate Consistency and Markovianity of some Quantum Histories in a Class of Finite Closed Spin Systems
- Non-equilibrium Dynamics, Thermalization and Entropy Production
- Classical Lieb-Robinson Bound for Estimating Equilibration Timescales of Isolated Quantum Systems
- Onset of Fokker-Planck dynamics within a Closed Finite Spin System
- Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension
- On entropy production in nonequilibrium systems
- Modelling equilibration of local many-body quantum systems by random graph ensembles
- Statistical diagonalization of a random biased Hamiltonian: the case of the eigenvectors
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- Observational entropy with general quantum priors
- Assessing Quantum Thermalization in Physical and Configuration Spaces via Many-Body Weak Values
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