Slow scrambling in disordered quantum systems
arXiv:1608.03280 · doi:10.1103/PhysRevB.95.060201
Abstract
Recent work has studied the growth of commutators as a probe of chaos and information scrambling in quantum many-body systems. In this work we study the effect of static disorder on the growth of commutators in a variety of contexts. We find generically that disorder slows the onset of scrambling, and, in the case of a many-body localized state, partially halts it. We access the many-body localized state using a standard fixed point Hamiltonian, and we show that operators exhibit slow logarithmic growth under time evolution. We compare the result with the expected growth of commutators in both localized and delocalized non-interacting disordered models. Finally, based on a scaling argument, we state a conjecture about the effect of weak interactions on the growth of commutators in an interacting diffusive metal.
6 (+epsilon) pages including supplementary information
References in corpus (15)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Black holes as mirrors: quantum information in random subsystems
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Dynamics of Loschmidt echoes and fidelity decay
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Interferometric probes of many-body localization
- Measurement of many-body chaos using a quantum clock
- Quantum Griffiths effects and smeared phase transitions in metals: theory and experiment
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Quantum revivals and many-body localization
- Interferometric Approach to Probing Fast Scrambling
- Local integrals of motion and the logarithmic lightcone in many-body localized systems
Cited by in corpus (10)
- Quantum chaos on a critical Fermi surface
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Thermal diffusivity and chaos in metals without quasiparticles
- Diffusion and Chaos from near AdS horizons
- Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
- Thermalization and chaos in QED
- Constraints on hydrodynamics from many-body quantum chaos
- Chaos in a quantum rotor model
- Dynamics of Anderson localization in disordered wires
- Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology