Chaos enhancement in large-spin chains
arXiv:2204.00018 · doi:10.21468/SciPostPhys.15.1.022
Abstract
We study the chaotic properties of a large-spin XXZ chain with onsite disorder and a small number of excitations above the fully polarized state. We show that while the classical limit, which is reached for large spins, is chaotic, enlarging the spin suppresses quantum chaos features. We attribute this suppression to the occurrence of large and slow clusters of onsite excitations, and propose a way to facilitate their fragmentation by introducing additional decay channels. We numerically verify that the introduction of such relaxation channels restores chaoticity for large spins, so that only three excitations are required to achieve strong level repulsion and ergodic eigenstates.
arXiv comment7 pages, 5 figures
References in corpus (41)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Random Matrix Theories in Quantum Physics: Common Concepts
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- The approach to thermal equilibrium in quantized chaotic systems
- Long-time behavior of periodically driven isolated interacting lattice systems
- Measuring the scrambling of quantum information
- Fate of many-body localization under periodic driving
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Recent progress in many-body localization
- The Ergodic Side of the Many-Body Localization Transition
- Thermal Fluctuations in Quantized Chaotic Systems
- Rare region effects and dynamics near the many-body localization transition
- Off-diagonal matrix elements of local operators in many-body quantum systems
- The Eigenstate Thermalization Hypothesis and Out of Time Order Correlators
- Integrability of a disordered Heisenberg spin-1/2 chain
- Entanglement and matrix elements of observables in interacting integrable systems
- Entanglement versus chaos in disordered spin chains
- Eigenstate thermalization hypothesis beyond standard indicators: Emergence of random-matrix behavior at small frequencies
- Eigenstate Thermalization, Random Matrix Theory and Behemoths
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- Sensitivity of quantum information to environment perturbations measured with a non-local out-of-time-order correlation function
- Speck of Chaos
- Out-of-time-order correlations and the fine structure of eigenstate thermalisation
- Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
- Largest Lyapunov exponents for lattices of interacting classical spins
- Distribution of the Ratio of Consecutive Level Spacings for Different Symmetries and Degrees of Chaos
- Exponentially fast dynamics of chaotic many-body systems
- Single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians
- Sensitivity to small perturbations in systems of large quantum spins
- Signatures of Chaos in Time Series Generated by Many-Spin Systems at High Temperatures
- From few- to many-body quantum systems
- Quantum chaos, equilibration and control in extremely short spin chains
- Suppression of heating by long-range interactions in periodically driven spin chains
- Magnetization dynamics in clean and disordered spin-1 XXZ chains
- Statistical and dynamical properties of the quantum triangle map
- How many particles make up a chaotic many-body quantum system?