Entanglement entropy and localization in disordered quantum chains
arXiv:2112.09102 · doi:10.1007/978-3-031-03998-0_4
Abstract
This chapter addresses the question of quantum entanglement in disordered chains, focusing on the von-Neumann and Rényi entropies for three important classes of random systems: Anderson localized, infinite randomness criticality, and many-body localization (MBL). We review previous works, and also present new results for the entanglement entropy of random spin chains at low and high energy.
arXiv commentChapter book in "Entanglement in Spin Chains - From Theory to Quantum Technology Applications", Bayat, A., Bose, S., Johannesson, H. (eds)
References in corpus (121)
- Unpaired Majorana fermions in quantum wires
- Chaos and Quantum Thermalization
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Many body localization and thermalization in quantum statistical mechanics
- Anderson Transitions
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Many-body localization, thermalization, and entanglement
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Average Entropy of a Subsystem
- The many-body localization phase transition
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- Exploring the many-body localization transition in two dimensions
- Many body localization in Heisenberg XXZ magnet in a random field
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Many-body localization in a quantum simulator with programmable random disorder
- Many-body localization: an introduction and selected topics
- On Many-Body Localization for Quantum Spin Chains
- Universal slow growth of entanglement in interacting strongly disordered systems
- Many-body localization in a disordered quantum Ising chain
- Area laws in a many-body localized state and its implications for topological order
- Spectral signatures of many-body localization with interacting photons
- Localization protected quantum order
- Measuring Renyi Entanglement Entropy with Quantum Monte Carlo
- Universality of Entropy Scaling in 1D Gap-less Models
- Strong disorder RG approach of random systems
- Many-body localization in one dimension as a dynamical renormalization group fixed point
- Entanglement entropy of random quantum critical points in one dimension
- Recent progress in many-body localization
- Parafermionic edge zero modes in Z_n-invariant spin chains
- The Ergodic Side of the Many-Body Localization Transition
- Multifractal Scalings across the Many-Body Localization Transition
- Symmetry-resolved entanglement in many-body systems
- Infinite-randomness quantum Ising critical fixed points
- Ergodicity breaking in a model showing many-body localization
- Two universality classes for the many-body localization transition
- Thouless time analysis of Anderson and many-body localization transitions
- A Numerical Study of the Random Transverse-Field Ising Spin Chain
- Emergence of quantum chaos in finite interacting Fermi systems
- Distinguishing localization from chaos: challenges in finite-size systems
- Many-body localization and delocalization in large quantum chains
- Equipartition of the Entanglement Entropy
- Universality of corner entanglement in conformal field theories
- Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
- Scaling of Entanglement Entropy in the Random Singlet Phase
- Entanglement Entropy of Eigenstates of Quadratic Fermionic Hamiltonians
- Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model
- Quantum Monte Carlo calculation of entanglement Renyi entropies for generic quantum systems
- Violation of area-law scaling for the entanglement entropy in spin 1/2 chains
- Shift-invert diagonalization of large many-body localizing spin chains
- Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
- The entanglement negativity in random spin chains
- Quantum criticality of hot random spin chains
- An Impurity Driven Phase Transition in the Antiferromagnetic Spin-1 Chain
- Renormalization group study of the two-dimensional random transverse-field Ising model
- Entanglement equipartition in critical random spin chains
- The Random Transverse Ising Spin Chain and Random Walks
- Purification and many-body localization in cold atomic gases
- Strong Disorder RG approach - a short review of recent developments
- Time dynamics with matrix product states: Many-body localization transition of large systems revisited
- Nature of Many-Body Localization and Transitions by Density Matrix Renormaliztion Group and Exact Diagonalization Studies
- Criticality and entanglement in random quantum systems
- Anderson-localization versus delocalization of interacting fermions in one dimension
- Distributions of gaps and end-to-end correlations in random transverse-field Ising spin chains
- Infinite disorder scaling of random quantum magnets in three and higher dimensions
- Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach
- Bimodal entanglement entropy distribution in the many-body localization transition
- Entanglement spectrum of random-singlet quantum critical points
- Spectra and eigenstates of spin chain Hamiltonians
- Entanglement entropy at infinite randomness fixed points in higher dimensions
- Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles
- Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
- Entanglement entropy scaling in the bilayer Heisenberg spin system
- Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
- Marginal Anderson localization and many body delocalization
- Low-energy fixed points of random Heisenberg models
- Valence Bond Entanglement Entropy
- Computation of static Heisenberg-chain correlators: Control over length and temperature dependence
- Entanglement Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group
- Entanglement over the rainbow
- Correlation amplitude and entanglement entropy in random spin chains
- Entanglement entropy from nonequilibrium work
- Excited-state entanglement and thermal mutual information in random spin chains
- Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
- From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
- Increasing of entanglement entropy from pure to random quantum critical chains
- Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
- Phases of random antiferromagnetic spin-1 chains
- Spin Reduction Transition in Spin-3/2 Random Heisenberg Chains
- More on the rainbow chain: entanglement, space-time geometry and thermal states
- Random-exchange quantum Heisenberg antiferromagnets on the square lattice
- Entanglement entropy of the random spin-1 Heisenberg chain
- Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains
- Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models
- Detecting Goldstone Modes with Entanglement Entropy
- Protecting clean critical points by local disorder correlations
- Exact valence bond entanglement entropy and probability distribution in the XXX spin chain and the Potts model
- Infinite Randomness Phases and Entanglement Entropy of the Disordered Golden Chain
- Entanglement properties of correlated random spin chains and similarities with conformal invariant systems
- Crossover effects in the random exchange spin-1/2 antiferromagnetic chain
- Negativity Spectrum in the Random Singlet Phase
- Universal entanglement for higher dimensional cones
- Weak Versus Strong Disorder Superfluid-Bose Glass Transition in One Dimension
- Singular Behavior of Eigenstates in Anderson's Model of Localization
- Unusual area-law violation in random inhomogeneous systems
- Increasing entanglement through engineered disorder in the random Ising chain
- Many-body localization as a large family of localized ground states
- Permutation Symmetric Critical Phases in Disordered Non-Abelian Anyonic Chains
- Many-body localization of spinless fermions with attractive interactions in one dimension
- Entanglement spectrum and entangled modes of random XX spin chains
- Entanglement Entropy in Random Quantum Spin-S Chains
- Valence bond entanglement entropy of frustrated spin chains
- Scaling of the spin stiffness in random spin-1/2 chains : Crossover from pure-metallic behaviour to random singlet-localized regime
- Comment on "Disorder Induced Quantum Phase Transition in Random-Exchange Spin-1/2 Chains"
- Strong coupling from non-equilibrium Monte Carlo simulations
- Valence Bond Entanglement and Fluctuations in Random Singlet Phases
- Strong Disorder Real-Space Renormalization for the Many-Body-Localized phase of random Majorana models
- Hardcore dimer aspects of the SU(2) Singlet wavefunction
- Corrections to the singlet-length distribution and the entanglement entropy in random singlet phases
- Entanglement studies of interacting fermionic models