Many-body localization and delocalization from the perspective of Integrals of Motion
arXiv:1610.06238 · doi:10.1002/andp.201600322
Abstract
We study many-body localization (MBL) and delocalization from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. However, IOMs exist for all many-body systems, and non-localized IOMs determine properties on the ergodic side of the MBL transition too. Here we explore their properties using our method of displacement transformations. We show how different quantities can be calculated using the IOMs as an expansion in the number of operators. For all values of disorder the typical IOMs are localized, suggesting the importance of rare fluctuations in understanding the delocalization transition.
14 pages, 9 figures, submitted to special issue on "Many-Body Localization" in Annalen der Physik. Comments are welcome!
References in corpus (11)
- Thermalization and its mechanism for generic isolated quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Integrals of motion in the Many-Body localized phase
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Constructing local integrals of motion in the many-body localized phase
- Ergodicity breaking in a model showing many-body localization
- Rare region effects and dynamics near the many-body localization transition
- Eigenstate phase transitions and the emergence of universal dynamics in highly excited states
- Dependence of decoherence-assisted classicality on the ways a system is partitioned into subsystems
Cited by in corpus (57)
- Many-body localization: an introduction and selected topics
- Recent progress in many-body localization
- Multifractal Scalings across the Many-Body Localization Transition
- How a small quantum bath can thermalize long localized chains
- Many-body delocalization as a quantum avalanche
- Shift-invert diagonalization of large many-body localizing spin chains
- Time Evolution of Many-Body Localized Systems with the Flow Equation Approach
- Strong Disorder RG approach - a short review of recent developments
- Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
- Solving efficiently the dynamics of many-body localized systems at strong disorder
- Algebraic Many-Body Localization and its implications on information propagation
- Behavior of l-bits near the many-body localization transition
- Construction of exact constants of motion and effective models for many-body localized systems
- Neural network setups for a precise detection of the many-body localization transition: finite-size scaling and limitations
- One-particle-density-matrix occupation spectrum of many-body localized states after a global quench
- Numerical evidence for many-body localization in two and three dimensions
- Anderson Localization on the Bethe Lattice using Cages and the Wegner Flow
- Localization-enhanced and degraded topological-order in interacting p-wave wires
- Symmetry restoration and quantum Mpemba effect in many-body localization systems
- Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
- Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
- Many-body localization as a large family of localized ground states
- Many-body localization of spinless fermions with attractive interactions in one dimension
- Length scales in the many-body localized phase and their spectral signatures
- Comparing many-body localization lengths via non-perturbative construction of local integrals of motion
- From eigenstate to Hamiltonian: Prospects for ergodicity and localization
- Describing many-body localized systems in thermal environments
- Local integrals of motion in the two-site Anderson-Hubbard model
- Approximating observables on eigenstates of large many-body localized systems
- Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
- Flow Equations for Disordered Floquet Systems
- Strong Disorder Real-Space Renormalization for the Many-Body-Localized phase of random Majorana models
- Charge and spin-specific local integrals of motion in a disordered Hubbard model
- Many-body Localization in Clean Chains with Long-Range Interactions
- Breaking the chains: extreme value statistics and localization in random spin chains
- Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
- Holographic unitary renormalization group for correlated electrons -- II: insights on fermionic criticality
- Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
- Signatures of many-body localization of quasiparticles in a flat band superconductor
- Strong Disorder Renormalization for the dynamics of Many-Body-Localized systems : iterative elimination of the fastest degree of freedom via the Floquet expansion
- Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
- Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
- Structural properties of local integrals of motion across the many-body localization transition via a fast and efficient method for their construction
- Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
- Measuring out quasi-local integrals of motion from entanglement
- Unraveling long-time quantum dynamics using flow equations
- Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion
- Disorder-induced spin-charge separation in the 1-D Hubbard model
- Edge mode locality in perturbed symmetry protected topological order
- Construction of Many-Body Eigenstates with Displacement Transformations
- Even and odd normalized zero modes in random interacting Majorana models respecting the Parity and the Time-Reversal-Symmetry
- Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
- Statistical Localization in a Rydberg Simulator of Lattice Gauge Theory
- Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
- Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization
- Fock-space geometry and strong correlations in many-body localized systems
- Scaling Theory of Few-Particle Delocalization