Many-body localization in a disordered quantum Ising chain

Abstract

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of the critical disorder strength is difficult due to a large drift with system size in the studied quantities. In this work we explore two entanglement properties that are promising for the study of the manybody localization transition: the variance of the half-chain entanglement entropy of exact eigenstates and the long time change in entanglement after a local quench from an exact eigenstate. We investigate these quantities in a disordered quantum Ising chain and use them to estimate the critical disorder strength and its energy dependence. In addition, we analyze a spin-glass transition at large disorder strength and provide evidence for it being a separate transition. We thereby give numerical support for a recently proposed phase diagram of many-body localization with localization protected quantum order [Huse et al. Phys. Rev. B 88, 014206 (2013)].

4+ pages + 1.5 pages appendix, 5 figures

References in corpus (5)

• Thermalization and its mechanism for generic isolated quantum systems
• Localization of interacting fermions at high temperature
• Many body localization in Heisenberg XXZ magnet in a random field
• Many-Body Localization in a Quasiperiodic System
• Ergodicity breaking in a model showing many-body localization

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• Correspondence between excited energy eigenstates and local minima of energy landscape in quantum spin systems
• A Complex Network Analysis on The Eigenvalue Spectra of Random Spin Systems
• Hierarchy of timescales in a disordered spin-$1/2$ XX ladder
• Delocalization in a partially disordered interacting many-body system
• Investigating Stark many-body localization with continuous unitary transformation flows
• Relaxation to Equilibrium in a Quantum Network
• Probing the many-body localized spin-glass phase through quench dynamics
• Disorder free many-body localization transition in two quasiperiodically coupled Heisenberg spin chains
• Asymptotic Localization in the Bose-Hubbard Model
• Geometric quenches in quasi-disordered lattice system
• Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
• Local density of states and scattering rates across the many-body localization transition
• Nonequilibrium localization and the interplay between disorder and interactions
• Entanglement structure for finite system under dual-unitary dynamics
• Inner structure of the many-body localization transition and the fulfillment of the Harris criterion
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Observation of Localization Using a Noisy Quantum Computer
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain
• Theoretical study on thermalization in isolated quantum systems
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Probing the randomness of ergodic states: extreme-value statistics in the ergodic and many-body-localized phases
• Nonergodic delocalized paramagnetic states in quantum neural networks
• Two-dimensional many-body localized systems coupled to a heat bath
• Information Bounds on phase transitions in disordered systems
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Many-body localization and the emergence of quantum darwinism
• Localization dynamics in a centrally coupled system
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Global and short-range entanglement properties in excited, many-body localized spin chains