The many-body localization transition

2010/03/12 by Arijeet Pal, David A. Huse, Pal, Arijeet +1 · 41 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1003.2613

openalex publication_date 2010/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, ergodic phase. For strong random field the eigenstates are localized, with only short-range entanglement. We roughly locate the localization transition and examine the probability distributions of the correlations, finding that this quantum phase transition at nonzero temperature may be showing infinite-randomness scaling.

Cited by

• Tree tensor networks for many-body localization in two dimensions
• Quantum information scrambling in strongly disordered Rydberg spin systems
• Ergotropy of quantum many-body scars
• Consecutive-gap ratio distribution for crossover ensembles
• Classifying one-dimensional Floquet phases through two-dimensional topological order
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• Unified theory of local integrals of motion
• Thermalization of exact quantum many-body scars in spin-1 XY chain under perturbation
• Unraveling additional quantum many-body scars of the spin-1 XY model with Fock-space cages and commutant algebras
• The Anderson transition - a view from Krylov space
• Role of flavor degrees of freedom in quantum simulations of disorder-free localization
• Beyond the imbalance: Site-resolved dynamics probing resonances in many-body localization
• Long-range resonances in quasiperiodic many-body localization
• Spectral statistics and energy-gap scaling in k-local spin Hamiltonians
• Entanglement Entropy from Correlation Functions of Scalar Fields in and out of Equilibrium
• Non-perturbatively slow spread of quantum correlations in non-resonant systems
• Digital quantum simulation of many-body localization crossover in a disordered kicked Ising model
• Random unitaries that conserve energy
• Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
• Quantum Filtering and Analysis of Multiplicities in Eigenvalue Spectra
• Quartic level repulsion in a quantum chaotic three-body system without symplectic symmetry
• Data repository for "Symmetry Fragmentation"
• Hierarchy of timescales in a disordered spin-1/2 XX ladder
• Local reminiscence in the PXP model
• Probing many-body localization crossover in quasiperiodic Floquet circuits on a quantum processor
• Thermal states emerging from low-entanglement background in disordered spin models
• Entanglement and optimization within autoregressive neural quantum states
• Bosonic realization of SU(3) chiral Haldane phases
• Robust and Efficient Quantum Reservoir Computing with Discrete Time Crystal
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
• Detecting Entanglement via Split Spectroscopy in Many-Body Systems
• Many-body delocalization with a two-dimensional 70-qubit superconducting quantum simulator
• Quantum thermalization in a dimerized J1-J2 model
• Exact diagonalization study of energy level statistics in harmonically confined interacting bosons
• From Thermalization to Multifractality: Spin-Spin Correlation in Disordered SU(2)-Invariant 1D Heisenberg Spin Chains
• Genuine multipartite entanglement as a probe of many-body localization in disordered spin chains with Dzyaloshinskii-Moriya interactions
• Efficient detection of localization transitions using predictability
• Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Quantum Mpemba Effects from Symmetry Perspectives

Related

• A journey into localization, integrability and thermalization
• Characterizing the many-body localization transition through correlations
• Critical behaviors of the entanglement and participation entropy near the many-body localization transition in a disordered quantum spin chain
• Effects of power-law correlated disorders in XXZ spin chain: Many-body localized to thermal phase transition and its critical regime
• Genuine multipartite entanglement as a probe of many-body localization in disordered spin chains with Dzyaloshinskii-Moriya interactions