Decoherence of Histories: Chaotic Versus Integrable Systems
arXiv:2406.15577 · doi:10.1103/m8vq-l449
Abstract
We study the emergence of decoherent histories in isolated systems based on exact numerical integration of the Schrödinger equation for a Heisenberg chain. We reveal that the nature of the system, which we switch from (i) chaotic to (ii) interacting integrable to (iii) non-interacting integrable, strongly impacts decoherence \new{of coarse spin observables}. From a finite size scaling law we infer a strong exponential suppression of coherences for (i), a weak exponential suppression for (ii) and no exponential suppression for (iii) on a relevant short (nonequilibrium) time scale. Moreover, for longer times we find stronger decoherence for (i) but the opposite for (ii), hinting even at a possible power-law decay for (ii) at equilibrium time scales. This behaviour is encoded in the multi-time properties of the quantum histories and it can not be explained by environmentally induced decoherence. Our results suggest that chaoticity plays a crucial role in the emergence of classicality in finite size systems.
14 pages, 22 figures
References in corpus (46)
- Decoherence, einselection, and the quantum origins of the classical
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Dynamics of Loschmidt echoes and fidelity decay
- Eigenstate Thermalization Hypothesis
- Quantum Decoherence
- Finite-temperature transport in one-dimensional quantum lattice models
- A Universal Operator Growth Hypothesis
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Does scrambling equal chaos?
- Massive Parallel Quantum Computer Simulator
- Decoherence and the Loschmidt echo
- Quantum stochastic processes and quantum non-Markovian phenomena
- Decoherence, chaos, quantum-classical correspondence, and the algorithmic arrow of time
- Bounds on chaos from the eigenstate thermalization hypothesis
- Somewhere in the Universe: Where is the Information Stored When Histories Decohere?
- Decoherent Histories and Hydrodynamic Equations
- Eigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies
- Quasiclassical Coarse Graining and Thermodynamic Entropy
- When is a non-Markovian quantum process classical?
- Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories
- Scrambling is Necessary but Not Sufficient for Chaos
- Coherence and non-classicality of quantum Markov processes
- Variational Consistent Histories as a Hybrid Algorithm for Quantum Foundations
- Decoherent Histories and the Emergent Classicality of Local Densities
- Classical quantum stochastic processes
- The Objective Past of a Quantum Universe: Redundant Records of Consistent Histories
- Classical Dynamics of the Quantum Harmonic Chain
- Decoherence and Records for the Case of a Scattering Environment
- Classicality, Markovianity and local detailed balance from pure state dynamics
- Approach to equilbrium in nano-scale systems at finite temperatur
- Decoherence of Histories and Hydrodynamic Equations for a Linear Oscillator Chain
- Why are macroscopic experiments reproducible? Imitating the behavior of an ensemble by single pure states
- Quantum and classical fluctuation theorems from a decoherent histories, open-system analysis
- Classicality, the ensemble interpretation, and decoherence: Resolving the Hyperion dispute
- Approximate Decoherence of Histories and 't Hooft's Deterministic Quantum Theory
- Emergent decoherence induced by quantum chaos in a many-body system: A Loschmidt echo observation through NMR
- Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal Entanglement Structure
- Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach
- Chaos, decoherence and quantum cosmology
- First Principles Numerical Demonstration of Emergent Decoherent Histories
- Einselection, Equilibrium and Cosmology
- Numerical Evidence for Approximate Consistency and Markovianity of some Quantum Histories in a Class of Finite Closed Spin Systems
- Time Evolution of Typical Pure States from a Macroscopic Hilbert Subspace
- Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories
- Objectivity of classical quantum stochastic processes