Localization protected quantum order

Abstract

Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can order in that individual many-body eigenstates can break symmetries or display topological order in the infinite volume limit. Indeed, isolated localized quantum systems can order even at energy densities where the corresponding thermally equilibrated system is disordered, i.e.: localization protects order. In addition, localized systems can move between ordered and disordered localized phases via non-thermodynamic transitions in the properties of the many-body eigenstates. We give evidence that such transitions may proceed via localized critical points. We note that localization provides protection against decoherence that may allow experimental manipulation of macroscopic quantum states. We also identify a `spectral transition' involving a sharp change in the spectral statistics of the many-body Hamiltonian.

References in corpus (6)

• 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
• Majorana Fermions: The race continues
• Diagnosing Deconfinement and Topological Order
• There are no Goldstone bosons on the Bethe lattice

Cited by in corpus (388)

• Many body localization and thermalization in quantum statistical mechanics
• Many-body localization, thermalization, and entanglement
• Many-body localization edge in the random-field Heisenberg chain
• Floquet Time Crystals
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• On the phase structure of driven quantum systems
• Quantum entanglement in condensed matter systems
• Dynamical quantum phase transitions: a review
• Many-body localization: an introduction and selected topics
• Many-body localization in a disordered quantum Ising chain
• Eigenstate Thermalization Hypothesis
• Emergent Gravity and the Dark Universe
• Universal dynamics and renormalization in many body localized systems
• Integrals of motion in the Many-Body localized phase
• Area laws in a many-body localized state and its implications for topological order
• Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
• Random Quantum Circuits
• Unitary-projective entanglement dynamics
• Anomalous diffusion and Griffiths effects near the many-body localization transition
• Quantum chaos challenges many-body localization
• Coupling Identical 1D Many-Body Localized Systems
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
• Recent progress in many-body localization
• Discrete Time Crystals
• Universal properties of many-body delocalization transitions
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Non-Hermitian Many-Body Localization
• The Ergodic Side of the Many-Body Localization Transition
• Constructing local integrals of motion in the many-body localized phase
• Exact Excited States of Non-Integrable Models
• Topological phases with parafermions: theory and blueprints
• Avalanches and many-body resonances in many-body localized systems
• Pre-thermal phases of matter protected by time-translation symmetry
• Equilibration and Order in Quantum Floquet Matter
• Many-body Localization with Dipoles
• Two universality classes for the many-body localization transition
• Many-body localization characterized from a one-particle perspective
• Entanglement phase transitions in measurement-only dynamics
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• Review: Local Integrals of Motion in Many-Body Localized systems
• Topology and Broken Symmetry in Floquet Systems
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• Entanglement Transitions from Holographic Random Tensor Networks
• Many-body Localization and Symmetry Protected Topological Order
• The Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality
• Measurement Protected Quantum Phases
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Critical Properties of the Many-Body Localization Transition
• Distinguishing localization from chaos: challenges in finite-size systems
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Dynamical quantum phase transitions in random spin chains
• Glassy quantum dynamics in translation invariant fracton models
• A theory of many-body localization in periodically driven systems
• 1D Many-body localized Floquet systems II: Symmetry-Broken phases
• Low-frequency conductivity in many-body localized systems
• Statistical localization: from strong fragmentation to strong edge modes
• Spectral features of a many-body localized system weakly coupled to a heat bath
• Interferometric probes of many-body localization
• Dynamics at the Many-Body Localization Transition
• Obtaining highly-excited eigenstates of many-body localized Hamiltonians by the density matrix renormalization group
• Many-body mobility edge in a mean-field quantum spin glass
• Early breakdown of area-law entanglement at many-body delocalization transition
• Griffiths effects and slow dynamics in nearly many-body localized systems
• Probing many-body localization with neural networks
• Chiral Floquet Phases of Many-body Localized Bosons
• Many body localization and thermalization: insights from the entanglement spectrum
• Gapless Symmetry Protected Topological Order
• Machine learning out-of-equilibrium phases of matter
• Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
• Floquet symmetry-protected topological phases in cold atomic systems
• Many-Body Localization in the Age of Classical Computing
• Fractal, logarithmic and volume-law entangled non-thermal steady states via spacetime duality
• Emergent (anomalous) higher symmetries from topological orders and from dynamical electromagnetic field in condensed matter systems
• Observation of a symmetry-protected topological time crystal with superconducting qubits
• Excited-state quantum phase transitions
• Abelian Floquet symmetry-protected topological phases in one dimension
• Many-body localization in a non-Hermitian quasi-periodic system
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Entanglement spreading in a many-body localized system
• Dynamical phase transitions in quantum reservoir computing
• Quantum revivals and many-body localization
• Symmetry constraints on many-body localization
• A Floquet Model for the Many-Body Localization Transition
• Time Evolution of Many-Body Localized Systems with the Flow Equation Approach
• Quantum criticality of hot random spin chains
• Topological Entanglement Entropy of Fracton Stabilizer Codes
• Scaling Theory of Entanglement at the Many-Body Localization Transition
• Floquet topological phases protected by time glide symmetry
• Floquet time crystals in clock models
• Many-body physics in the NISQ era: quantum programming a discrete time crystal
• Floquet topological phases with symmetry in all dimensions
• Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms
• A constructive theory of the numerically accessible many-body localized to thermal crossover
• Fixed points of Wegner-Wilson flows and many-body localization
• Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
• Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
• Many body localization with long range interactions
• Floquet Topological Order in Interacting Systems of Bosons and Fermions
• Non-local Adiabatic Response of a Localized System to Local Manipulations
• Stability of zero modes in parafermion chains
• Nature of Many-Body Localization and Transitions by Density Matrix Renormaliztion Group and Exact Diagonalization Studies
• Many-body localization phase transition: A simplified strong-randomness approximate renormalization group
• Long coherence times for edge spins
• Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations
• Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model
• Universal properties of many-body localization transitions in quasiperiodic systems
• The Many-Body localization transition in the Hilbert space
• Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
• Efficient variational diagonalization of fully many-body localized Hamiltonians
• The quantum Ising chain for beginners
• Absence of full many-body localization in the disordered Hubbard chain
• Flat-band many-body localization and ergodicity breaking in the Creutz ladder
• Realizing a dynamical topological phase in a trapped-ion quantum simulator
• Many-body localization, symmetry, and topology
• Anomalous Floquet Insulators
• The fate of a discrete time crystal in an open system
• Signatures of the Many-body Localized Regime in Two Dimensions
• Prethermal Strong Zero Modes and Topological Qubits
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• Many-body localization beyond eigenstates in all dimensions
• Dynamics and Transport at the Threshold of Many-Body Localization
• Dynamical conductivity and its fluctuations along the crossover to many-body localization
• Many-Body Localization in Spin Chain Systems with Quasiperiodic Fields
• Transport properties across the many-body localization transition in quasiperiodic and random systems
• A many body localization proximity effect
• Universal eigenstate entanglement of chaotic local Hamiltonians
• Many-body localization and quantum ergodicity in disordered long-range Ising models
• Anderson transition on the Bethe lattice: an approach with real energies
• Dynamically enriched topological orders in driven two-dimensional systems
• Particle-hole symmetry, many-body localization, and topological edge modes
• Marginal Anderson localization and many body delocalization
• Many-body mobility edge due to symmetry-constrained dynamics and strong interactions
• Integrable many-body quantum Floquet-Thouless pumps
• Defining Time Crystals via Representation Theory
• Entanglement Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group
• A mean-field theory of nearly many-body localized metals
• Eigenstate entanglement in the Sachdev-Ye-Kitaev model
• Efficient representation of fully many-body localized systems using tensor networks
• Localized systems coupled to small baths: from A${}_{nderson}$ to Z${}_{eno}$
• One-particle density matrix characterization of many-body localization
• Signatures of many-body localisation in the dynamics of two-sites entanglement
• Exponentially Slow Heating in Short and Long-range Interacting Floquet Systems
• Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases
• Eigenstate phase transitions and the emergence of universal dynamics in highly excited states
• Floquet Quantum Criticality
• Spectral tensor networks for many-body localization
• Many-body localization in Fock-space: a local perspective
• Counting local integrals of motion in disordered spinless-fermion and Hubbard chains
• Explicit construction of local conserved operators in disordered many-body systems
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Avalanche induced co-existing localised and thermal regions in disordered chains
• General theory of many body localized systems coupled to baths
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Thermal inclusions: how one spin can destroy a many-body localized phase
• A semi-classical limit for the many-body localization transition
• Quantum annealing: the fastest route to quantum computation?
• Benefits of weak disorder in one dimensional topological superconductors
• Restoring coherence via aperiodic drives in a many-body quantum system
• The effect of $SU(2)$ symmetry on many-body localization and thermalization
• Frustration-induced emergent Hilbert space fragmentation
• Probing ground-state phase transitions through quench dynamics
• Percolation in Fock space as a proxy for many-body localisation
• Spin subdiffusion in disordered Hubbard chain
• Many-body localization and mobility edge in a disordered Heisenberg spin ladder
• Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
• Discrete time-crystalline response stabilized by domain-wall confinement
• Homogeneous Floquet time crystal protected by gauge invariance
• Logarithmic Entanglement Lightcone in Many-Body Localized Systems
• Effect of long-range hopping and interactions on entanglement dynamics and many-body localization
• Many-body localization caused by temporal disorder
• Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model
• Localization and symmetry breaking in the quantum quasiperiodic Ising glass
• Emergent ergodicity at the transition between many-body localized phases
• Emergent local integrals of motion without a complete set of localized eigenstates
• Parafermion chain with $2\pi /k$ Floquet edge modes
• Behavior of l-bits near the many-body localization transition
• Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
• Complex Quantum Networks: a Topical Review
• Interpretable Machine Learning Study of Many-Body Localization Transition in Disordered Quantum Ising Spin Chains
• Encoding the structure of many-body localization with matrix product operators
• Floquet engineering topological many-body localized systems
• Ising Anyons in Frustration-Free Majorana-Dimer Models
• Operator Spreading in Quantum Maps
• Logarithmic entanglement growth from disorder-free localization in the two-leg compass ladder
• Universal dynamics of density correlations at the transition to many-body localized state
• Topologically-Protected Long Edge Coherence Times in Symmetry-Broken Phases
• Self-consistent approach to many-body localization and subdiffusion
• Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
• Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows
• Dephasing enhanced spin transport in the ergodic phase of a many-body localizable system
• Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
• Parafermionic clock models and quantum resonance
• Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
• Exploring many body localization and thermalization using semiclassical method
• Many-Body Localization : construction of the emergent local conserved operators via block real-space renormalization
• Local entanglement structure across a many-body localization transition
• Many body localization and delocalization in the two dimensional continuum
• Multi-particle content of Majorana zero-modes in the interacting p-wave wire
• Entanglement scaling of excited states in large one-dimensional many-body localized systems
• Classification of Quench Dynamical Behaviours in Spinor Condensates
• Distinctive response of many-body localized systems to strong electric field
• Photonic Floquet time crystals
• Many-body localization in Ising models with random long-range interactions
• Gapless insulating edges of dirty interacting topological insulators
• Many-Body Localization with Quasiperiodic Driving
• Full Commuting Projector Hamiltonians of Interacting Symmetry-Protected Topological Phases of Fermions
• Non-Abelian symmetries and disorder: a broad non-ergodic regime and anomalous thermalization
• Localization-enhanced and degraded topological-order in interacting p-wave wires
• Obtaining highly excited eigenstates of the localized XX chain via DMRG-X
• Topological edge modes without symmetry in quasiperiodically driven spin chains
• Response theory of the ergodic many-body delocalized phase: Keldysh Finkel'stein sigma models and the 10-fold way
• Strong zero modes in a class of generalised Ising spin ladders with plaquette interactions
• Anyonic self-induced disorder in a stabilizer code: quasi-many body localization in a translational invariant model
• Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
• Classification of interacting Floquet phases with $U(1)$ symmetry in two dimensions
• Quantum scars and bulk coherence in a symmetry-protected topological phase
• Universal entanglement of typical states in constrained systems
• Probing Many-Body Localization by Spin Noise Spectroscopy
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Possible many-body localization in a long-lived finite-temperature ultracold quasi-neutral molecular plasma
• Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
• Long-lived topological time-crystalline order on a quantum processor
• Localization-protected order in spin chains with non-Abelian discrete symmetries
• Mobility edge in long-range interacting many-body localized systems
• Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
• Dynamical quantum phase transitions in the random field Ising model
• Local integrals of motion detection of localization-protected topological order
• Synchronization transition in dipole-coupled two-level systems with positional disorder
• Local Integrals of Motion for Topologically Ordered Many-Body Localized Systems
• Disordered XYZ Spin Chain Simulations using the Spectrum Bifurcation Renormalization Group
• Probing many-body localization in a disordered quantum magnet
• Dynamics of Disordered Quantum Systems Using Flow Equations
• Bose-Einstein Condensation and Many-Body Localization of Rotational Excitations of Polar Molecules
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model
• Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Delocalized charge carriers in strongly disordered t-J model
• Many-Body Localization and Level Repulsion
• Spin-mediated particle transport in the disordered Hubbard model
• Can long-range interactions stabilize quantum memory at nonzero temperature?
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators
• Floquet Prethermal Phase Protected by U(1) Symmetry on a Superconducting Quantum Processor
• Approaching Many-Body Localization from Disordered Luttinger Liquids via the Functional Renormalization Group
• Disorder-tunable entanglement at infinite temperature
• Hilbert-space localization in closed quantum systems
• String order parameters for 1d Floquet Symmetry Protected Topological Phases
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• Disentangling interacting symmetry protected phases of fermions in two dimensions
• Describing many-body localized systems in thermal environments
• Beating no-go theorems by engineering defects in quantum spin models
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Transient and persistent particle subdiffusion in a disordered chain coupled to bosons
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Non-Fermi glasses: fractionalizing electrons at finite energy density
• Quantum scars in spin-1/2 isotropic Heisenberg clusters
• Configuration-Controlled Many-Body Localization and the Mobility Emulsion
• Observation of topological prethermal strong zero modes
• A toy model for anomalous transport and Griffiths effects near the Many-Body Localization transition
• Prethermalization and entanglement dynamics in interacting topological pumps
• Time-crystalline Topological Superconductors
• Localization of Extended Quantum Objects
• Entanglement Entropy of Free Fermions in Timelike Slices
• Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors
• Many body localization proximity effects in platforms of coupled spins and bosons
• Quantum annealing of pure and random Ising chains coupled to a bosonic environment
• Edge modes and symmetry-protected topological states in open quantum systems
• Unsupervised Learning Eigenstate Phases of Matter
• Exact zero modes and decoherence in systems of interacting Majorana fermions
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Floquet Supersymmetry
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Many-body delocalization via symmetry emergence
• Classical and quantum systems: transport due to rare events
• Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumping
• Entanglement dynamics in critical random quantum Ising chain with perturbations
• Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates
• Anomalous localization at the boundary of an interacting topological insulator
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• Continuous-time quantum walks for MAX-CUT are hot
• Classification of symmetry-protected topological many-body localized phases in one dimension
• On the possibility of many-body localization in a doped Mott insulator
• Entanglement entropy of low-lying excitation in localized interacting system: Signature of Fock space delocalization
• Quantum simulation using noisy unitary circuits and measurements
• Classical simulation of quantum circuits by dynamical localization: analytic results for Pauli-observable scrambling in time-dependent disorder
• Quantum information spreading in random spin chains with topological order
• Experimental observation of a time rondeau crystal: Temporal Disorder in Spatiotemporal Order
• Absence of localization in interacting spin chains with a discrete symmetry
• Many-body localization of zero modes
• Inverted many-body mobility edge in a central qudit problem
• Evolutional entanglement production
• Many-body localized phase of bosonic dipoles in a tilted optical lattice
• Subspace restricted thermalization in a correlated-hopping model with strong Hilbert space fragmentation characterized by irreducible strings
• Quench Spectroscopy of a Disordered Quantum System
• Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
• Universal crossover from ground state to excited-state quantum criticality
• Three `species' of Schrödinger cat states in an infinite-range spin model
• Instability of localization in translation-invariant systems
• Many-body-localization induced protection of symmetry-protected topological order in a XXZ spin model
• Learning the Fuzzy Phases of Small Photonic Condensates
• Interaction-Induced Characteristic Length in Strongly Many-Body Localized Systems
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Entanglement and spectra in topological many-body localized phases
• Perturbative instability of non-ergodic phases in non-Abelian quantum chains
• Control of Mooij correlations at the nanoscale in the disordered metallic Ta - nanoisland FeNi multilayers
• Many-body-localization protection of eigenstate topological order in two dimensions
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Absolutely stable time crystals at finite temperature
• Harnessing symmetry-protected topological order for quantum memories
• Decay of density waves in coupled one-dimensional many-body-localized systems
• Measuring out quasi-local integrals of motion from entanglement
• Discrete time-crystals in unbounded potentials
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• Constrained thermalisation and topological superconductivity
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
• The Ergodicity Landscape of Quantum Theories
• Signature of Many-Body Localization of Phonons in Strongly Disordered Superlattices
• Entanglement entropy and localization in disordered quantum chains
• Sudden quenches in quasiperiodic Ising model
• Cat states carrying long-range correlations in the many-body localized phase
• Statistical diagonalization of a random biased Hamiltonian: the case of the eigenvectors
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Interplay between lattice gauge theory and subsystem codes
• Entanglement transition through Hilbert-space localization
• Emergent statistical bubble localization in a Z2 lattice gauge theory
• Nonequilibrium quantum order at infinite temperature: spatiotemporal correlations and their generating functions
• Topologically ordered time crystals
• Dynamical potentials for non-equilibrium quantum many-body phases
• Probing localization properties of many-body Hamiltonians via an imaginary vector potential
• Prolonging a discrete time crystal by quantum-classical feedback
• Disorder induced topological phase transition in a driven Majorana chain
• How periodic driving stabilises and destabilises Anderson localisation on random trees
• Edge mode locality in perturbed symmetry protected topological order
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Long-ranged spectral correlations in eigenstate phases
• Continuous-time quantum optimisation without the adiabatic principle
• Quantum Inverse Freezing and Mirror-Glass Order
• Machian fractons, Hamiltonian attractors and non-equilibrium steady states
• Emergent disorder and sub-ballistic dynamics in quantum simulations of the Ising model using Rydberg atom arrays
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Field theory for monitored Brownian SYK clusters
• Renormalization view on resonance proliferation between many-body localized phases
• Marginally localized edges of time-reversal symmetric topological superconductors
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
• Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
• Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
• Dynamical Phase Error in Interacting Topological Quantum Memories
• Efficient simulation of many-body localized systems
• Protecting Quantum Information via Many-Body Dynamical Localization
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Disordered Haldane-Shastry model
• Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
• Accessing eigenstate spin-glass order from reduced density matrices
• From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
• Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
• Sub-ballistic operator growth in spin chains with heavy-tailed random fields
• Localization Lifetime of a Many-Body System with Periodic Constructed Disorder
• Random displacements in critical Rydberg atom arrays
• Anatomy of localisation protected quantum order on Hilbert space
• Strong zero modes from geometric chirality in quasi-one-dimensional Mott insulators
• Localization and slow-thermalization in a cluster spin model
• Signatures of many-body localization and metastability by weak perturbation
• Constructing edge zero modes through domain wall angle conservation
• Symmetric tensor scars with tunable entanglement from volume to area law
• Universal Freezing Transitions of Dipole-Conserving Chains
• Anomalies of global symmetries on the lattice
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Gapfull and gapless $1$D Topological Superconductivity in Spin-Orbit Coupled Bilayer Graphene
• Probing the many-body localized spin-glass phase through quench dynamics
• Disorder free many-body localization transition in two quasiperiodically coupled Heisenberg spin chains
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
• Anderson Localisation for periodically driven systems
• Localization dynamics in a centrally coupled system
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Nonergodic delocalized paramagnetic states in quantum neural networks
• Scrambling dynamics across a thermalization-localization quantum phase transition
• Coherently synchronized oscillations in many-body localization
• Theoretical study on thermalization in isolated quantum systems
• Statistics-encoded tensor network approach in disordered quantum many-body spin chains
• Quantum Avalanches in ${\mathbb{Z}}_2$-preserving Interacting Ising Majorana Chain
• Constraint-induced breaking and restoration of ergodicity in spin-1 PXP models
• AC Conductivity Crossover in Localized Superconductors
• Localization Dynamics from Static and Mobile Impurities