Scenario for delocalization in translation invariant systems
arXiv:1405.3279 · doi:10.1103/PhysRevB.90.165137
Abstract
We investigate the possibility of Many-Body Localization in translation invariant Hamiltonian systems, which was recently brought up by several authors. A key feature of Many-Body Localized disordered systems is recovered, namely the fact that resonant spots are rare and far-between. However, we point out that resonant spots are mobile, unlike in models with strong quenched disorder, and that these mobile spots constitute a possible mechanism for delocalization, albeit possibly only on very long timescales. In some models, this argument for delocalization can be made very explicit in first order of perturbation theory in the hopping. For models where this does not work, we present instead a non-perturbative argument that relies solely on ergodicity inside the resonant spots.
arXiv commentv3 --> v4. Small changes requested by referees: Extended conclusion section, moved technical parts into appendix, minor change in title. The manuscript is now accepted in PRB
References in corpus (12)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- The many-body localization phase transition
- On Many-Body Localization for Quantum Spin Chains
- Many-body localization in a disordered quantum Ising chain
- Localization and Glassy Dynamics Of Many-Body Quantum Systems
- Lattice Glass Models
- Asymptotic quantum many-body localization from thermal disorder
- Spectral Analysis of Percolation Hamiltonians
Cited by in corpus (72)
- Quantum entanglement in condensed matter systems
- Many-body localization: an introduction and selected topics
- Integrals of motion in the Many-Body localized phase
- Fractons
- Recent progress in many-body localization
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- The Ergodic Side of the Many-Body Localization Transition
- A criterion for many-body localization-delocalization phase transition
- Does a single eigenstate encode the full Hamiltonian?
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
- Towards a theory of metastability in open quantum dynamics
- Glassy quantum dynamics in translation invariant fracton models
- How a small quantum bath can thermalize long localized chains
- Absence of many-body mobility edges
- Robustness of many-body localization in the presence of dissipation
- Aspects of non-equilibrium in classical and quantum systems: slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics
- Dynamics of many-body localisation in a translation invariant quantum glass model
- Localization in fractonic random circuits
- Dynamics in many-body localized quantum systems without disorder
- Quantum Slow Relaxation and Metastability due to Dynamical Constraints
- Quantum revivals and many-body localization
- Quasilocalized dynamics from confinement of quantum excitations
- Many-body localization due to random interactions
- Non-ergodic metallic and insulating phases of Josephson junction chains
- Thermalization and its absence within Krylov subspaces of a constrained Hamiltonian
- Quantum East model: localization, non-thermal eigenstates and slow dynamics
- Symmetric Tensor Gauge Theories on Curved Spaces
- Signatures of many-body localisation in a system without disorder and the relation to a glass transition
- Many-body localization from a one-particle perspective in the disordered 1D Bose-Hubbard model
- Slowest local operators in quantum spin chains
- Many-body localization in a fragmented Hilbert space
- Spectral diffusion and scaling of many-body delocalization transitions
- Vogel-Fulcher-Tammann Freezing of a Thermally Fluctuating Artificial Spin Ice Probed by X-ray Photon Correlation Spectroscopy
- Discrete time-crystalline response stabilized by domain-wall confinement
- Slow Dynamics in Translation-Invariant Quantum Lattice Models
- Localization in spin chains with facilitation constraints and disordered interactions
- A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
- Test of Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory
- Out-of-equilibrium states and quasi-many-body localization in polar lattice gases
- Many body localization and delocalization in the two dimensional continuum
- Probing transport and slow relaxation in the mass-imbalanced Fermi-Hubbard model
- Kinetically Constrained Quantum Dynamics in Superconducting Circuits
- Partial breakdown of quantum thermalization in a Hubbard-like model
- Anyonic self-induced disorder in a stabilizer code: quasi-many body localization in a translational invariant model
- Statistical Bubble Localization with Random Interactions
- Spin-catalyzed hopping conductivity in disordered strongly interacting quantum wires
- Spontaneous charge carrier localization in extended one-dimensional systems
- Abelian Tensor Models on the Lattice
- Interaction-induced multiparticle bound states in the continuum
- Breakdown of ergodicity in disordered U(1) lattice gauge theories
- Flux mobility delocalization in the Kitaev spin ladder
- Does a distinct quasi many-body localized phase exist? A numerical study of a translationally invariant system in the thermodynamic limit
- Density dynamics in the mass-imbalanced Hubbard chain
- From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
- Tunable transport in the mass-imbalanced Fermi-Hubbard model
- Explicit construction of quasi-conserved local operator of translationally invariant non-integrable quantum spin chain in prethermalization
- Classical and quantum systems: transport due to rare events
- Ergodic and localized regions in quantum spin glasses on the Bethe lattice
- On the possibility of many-body localization in a doped Mott insulator
- Very slow heating for weakly driven quantum many-body systems
- Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes
- Instability of localization in translation-invariant systems
- Ergodicity breaking and Localization of the Nicolai supersymmetric fermion lattice model
- Quantum Fragmentation in the Extended Quantum Breakdown Model
- Characterizing The Many-Body Localization via Studying State Sensitivity to Boundary Conditions
- Glassy dynamics in strongly anharmonic chains of oscillators
- Exact solution of the minimalist Stark many body localization problem in terms of spin pair hopping
- Many-Body Localization in Translational Invariant Diamond Ladders with Flat Bands
- Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
- Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation
- Localization and melting of interfaces in the two-dimensional quantum Ising model