Witnessing quantum chaos using observational entropy
arXiv:2212.01585 · doi:10.1103/PhysRevE.107.064204
Abstract
We study observation entropy (OE) for the Quantum kicked top (QKT) model, whose classical counterpart possesses different phases: regular, mixed, or chaotic, depending on the strength of the kicking parameter. We show that OE grows logarithmically with coarse-graining length beyond a critical value in the regular phase, while OE growth is much faster in the chaotic regime. In the dynamics, we demonstrate that the short-time growth rate of OE acts as a measure of the chaoticity in the system, and we compare our results with out-of-time-ordered correlators (OTOC). Moreover, we show that in the deep quantum regime, the results obtained from OE are much more robust compared to OTOC results. Finally, we also investigate the long-time behaviour of OE to distinguish between saddle-point scrambling and true chaos, where the former shows large persistent fluctuations compared to the latter.
arXiv comment10 pages, 7 figures. Published version
References in corpus (69)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- A bound on chaos
- Search for New Physics with Atoms and Molecules
- Black holes and the butterfly effect
- Superconducting Qubits: Current State of Play
- Black holes as mirrors: quantum information in random subsystems
- Cold and Ultracold Molecules: Science, Technology, and Applications
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- The role of quantum information in thermodynamics --- a topical review
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Environment-independent decoherence rate in classically chaotic systems
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Measuring the scrambling of quantum information
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Quantum simulation of a Fermi-Hubbard model using a semiconductor quantum dot array
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Ergodic dynamics and thermalization in an isolated quantum system
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Quantum simulations and many-body physics with light
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Out-of-time-order correlators in quantum mechanics
- Tunable-range, photon-mediated atomic interactions in multimode cavity QED
- Quantum Simulation with Interacting Photons
- Does scrambling equal chaos?
- Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
- Kolmogorov-Sinai entropy-rate vs. physical entropy
- Entanglement as a signature of quantum chaos
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Photon-Mediated Spin-Exchange Dynamics of Spin-1 Atoms
- Weak Quantum Chaos
- The work value of information
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
- Gate-efficient simulation of molecular eigenstates on a quantum computer
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators
- Bridging entanglement dynamics and chaos in semiclassical systems
- Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
- Chaos, entanglement and decoherence in the quantum kicked top
- Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
- Quantum coarse-grained entropy and thermodynamics
- Quantum information scrambling after a quantum quench
- Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
- Quantum coarse-grained entropy and thermalization in closed systems
- Theory of quantum Loschmidt echoes
- Out-of-time-order Operators and the Butterfly Effect
- Hypersensitivity to perturbation in the quantum kicked top
- Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Fluctuation theorems from Bayesian retrodiction
- Topological phase transitions in superradiance lattices
- Saddle-point scrambling without thermalisation
- Universal power law in crossover from integrability to quantum chaos
- Signatures of chaos in the dynamics of quantum discord
- Classical dynamical coarse-grained entropy and comparison with the quantum version
- Quantum correlations as probes of chaos and ergodicity
- Quantum chaos, thermalization and tunneling in an exactly solvable few body system
- Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
- Quantum Entanglement dependence on bifurcations and scars in non autonomous systems. The case of Quantum Kicked Top
- Quantum correlation entropy
- Entanglement entropy converges to classical entropy around periodic orbits
- Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
- Observational entropy, coarse quantum states, and Petz recovery: information-theoretic properties and bounds
- Signatures of quantum chaos in an out-of-time-order tensor
- Observational entropic study of Anderson localization
- Effect of chaos on information gain in quantum tomography
Cited by in corpus (10)
- Continuity bounds on observational entropy and measured relative entropies
- On the generic increase of observational entropy in isolated systems
- Probing Dynamical Sensitivity of a Non-KAM System Through Out-of-Time-Order Correlators
- Observational entropy with general quantum priors
- Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
- Dichotomy in the effect of chaos on ergotropy
- Entropic partial orderings of quantum measurements
- Periodicity of dynamical signatures of chaos in quantum kicked top
- Macroscopicity and observational deficit in states, operations, and correlations
- Information acquisition, scrambling, and sensitivity to errors in quantum chaos