Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
arXiv:2503.21345 · doi:10.1063/5.0275096
Abstract
Out-of-time order correlators (OTOCs) are crucial tools for studying quantum chaos as they show distinct scrambling behavior for chaotic Hamiltonians. We calculate OTOC and analyze the quantum information scrambling in atom-field and spin-spin interaction models, which are open-system models and exhibit non-Markovian behavior. We also examine the Loschmidt echo for these models and comment on their chaotic nature. The commutator growth of two local operators, which is upper bounded by the Lieb-Robinson bound, is studied for these models, and the patterns of scrambling are investigated.
13 pages, 11 figures
References in corpus (43)
- Chaos and Quantum Thermalization
- A bound on chaos
- Black holes and the butterfly effect
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Black holes as mirrors: quantum information in random subsystems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Lieb-Schultz-Mattis in Higher Dimensions
- Decoherence, Chaos, and the Second Law
- Measuring the scrambling of quantum information
- Two-dimensional conformal field theory and the butterfly effect
- Canonical form of master equations and characterization of non-Markovianity
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Lieb-Robinson and the butterfly effect
- Out-of-time-order correlators in quantum mechanics
- Slow scrambling in disordered quantum systems
- Loschmidt Echo
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Markovian and non-Markovian dynamics in quantum and classical systems
- Information Scrambling and Loschmidt Echo
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Dynamics of entanglement and transport in 1D systems with quenched randomness
- Quantum chaos and effective thermalization
- Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
- Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field
- Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
- Information Scrambling and Chaos in Open Quantum Systems
- Classical chaos in atom-field systems
- Non-Markovian evolution: a quantum walk perspective
- Information scrambling in chaotic systems with dissipation
- Information scrambling vs. decoherence -- two competing sinks for entropy
- Temporal self-similarity of quantum dynamical maps as a concept of memorylessness
- Bound on the exponential growth rate of out-of-time-ordered correlators
- Out-of-time-order correlations and Floquet dynamical quantum phase transition
- Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
- Signatures of quantum chaos transition in short spin chains
- Chaos and Thermalization in the Spin-Boson Dicke Model
- Probing nonclassicality in an optically-driven cavity with two atomic ensembles
- Quantum correlations and speed limit of central spin system
- Strong coupling non-Markovian quantum thermodynamics of a finite-bath system
- Quantum information scrambling in non-Markovian open quantum systems
- Quantum chaos in the Dicke model and its variants
- Bipartite OTOC in open quantum systems: information scrambling and irreversibility