Tracking locality in time evolution of disordered systems
arXiv:2211.11480 · doi:10.1103/PhysRevB.107.054204
Abstract
Using local density correlation functions for a one-dimensional spin system, we introduce a correlation function difference (CFD) which compares correlations on a given site between a full system of size and its restriction to sites. We show that CFD provides useful information on transfer of information in quantum many-body systems by considering the examples of ergodic, Anderson, and many-body localized regimes in disordered XXZ spin chain. In the ergodic phase, we find that the propagation of CFD is asymptotically faster than the spin transport but slower than the ballistic propagation implied by the Lieb-Robinson bound. In contrast, in the localized cases, we unravel an exponentially slow relaxation of CFD. Connections between CFD and other observables detecting non-local correlations in the system are discussed.
authors' version accepted in PRB,
References in corpus (22)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Many-body localization edge in the random-field Heisenberg chain
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Integrals of motion in the Many-Body localized phase
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Constructing local integrals of motion in the many-body localized phase
- Entanglement entropy for the long range Ising chain
- Slow scrambling in disordered quantum systems
- Evolution of entanglement after a local quench
- Quantum quenches in the many-body localized phase
- Interferometric probes of many-body localization
- Can we study the many-body localisation transition?
- Characterizing Many-Body Localization by Out-of-Time-Ordered Correlation
- Entanglement equipartition in critical random spin chains
- Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
- Subwavelength-width optical tunnel junctions for ultracold atoms
- Many-body localization in presence of cavity mediated long-range interactions
- Energy level dynamics across the many-body localization transition
- Critical Level Statistics at the Many-Body Localization Transition Region
- Quantum information spreading in random spin chains