Local integrals of motion and the quasiperiodic many-body localization transition
arXiv:2101.04126 · doi:10.1103/PhysRevB.103.L220201
Abstract
We study the many body localization (MBL) transition for interacting fermions subject to quasiperiodic potentials by constructing the local integrals of motion (LIOMs) in the MBL phase as time-averaged local operators. We study numerically how these time-averaged operators evolve across the MBL transition. We find that the norm of such time-averaged operators drops discontinuously to zero across the transition; as we discuss, this implies that LIOMs abruptly become unstable at some critical localization length of order unity. We analyze the LIOMs using hydrodynamic projections and isolating the part of the operator that is associated with interactions. Equipped with this data we perform a finite-size scaling analysis of the quasiperiodic MBL transition. Our results suggest that the quasiperiodic MBL transition occurs at considerably stronger quasiperiodic modulations, and has a larger correlation-length critical exponent, than previous studies had found.
arXiv comment4.5 pages, 1 figure plus 11.5 pages supplemental material
References in corpus (76)
- The density-matrix renormalization group in the age of matrix product states
- Chaos and Quantum Thermalization
- Many body localization and thermalization in quantum statistical mechanics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Many-body localization edge in the random-field Heisenberg chain
- Exploring the many-body localization transition in two dimensions
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Local conservation laws and the structure of the many-body localized states
- Many-body localization in a quantum simulator with programmable random disorder
- On Many-Body Localization for Quantum Spin Chains
- Probing entanglement in a many-body-localized system
- Integrals of motion in the Many-Body localized phase
- Spectral signatures of many-body localization with interacting photons
- Many-Body Localization in a Quasiperiodic System
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Quantum chaos challenges many-body localization
- Stability and instability towards delocalization in MBL systems
- Theory of the many-body localization transition in one dimensional systems
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Extended slow dynamical regime close to the many-body localization transition
- Periodically Driving a Many-Body Localized Quantum System
- Universal properties of many-body delocalization transitions
- Constructing local integrals of motion in the many-body localized phase
- Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
- Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
- A criterion for many-body localization-delocalization phase transition
- Emulating many-body localization with a superconducting quantum processor
- Two universality classes for the many-body localization transition
- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
- Thouless time analysis of Anderson and many-body localization transitions
- Review: Local Integrals of Motion in Many-Body Localized systems
- Rare region effects and dynamics near the many-body localization transition
- Quantum critical behavior at the many-body-localization transition
- 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
- Low-frequency conductivity in many-body localized systems
- How a small quantum bath can thermalize long localized chains
- Many-body delocalization as a quantum avalanche
- Can we study the many-body localisation transition?
- Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
- Absence of many-body mobility edges
- Griffiths effects and slow dynamics in nearly many-body localized systems
- Finite automata for caching in matrix product algorithms
- Analytically solvable renormalization group for the many-body localization transition
- Kosterlitz-Thouless scaling at many-body localization phase transitions
- Scaling Theory of Entanglement at the Many-Body Localization Transition
- Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
- Interaction instability of localization in quasiperiodic systems
- Many-body localization phase transition: A simplified strong-randomness approximate renormalization group
- Universal properties of many-body localization transitions in quasiperiodic systems
- Renormalization-group study of the many-body localization transition in one dimension
- Many-body delocalization dynamics in long Aubry-André quasiperiodic chains
- Instability of many-body localized systems as a phase transition in a nonstandard thermodynamic limit
- Butterfly effect in interacting Aubry-Andre model: thermalization, slow scrambling, and many-body localization
- Many-body localization near the critical point
- Dynamics and Transport at the Threshold of Many-Body Localization
- Transport properties across the many-body localization transition in quasiperiodic and random systems
- Chain breaking and Kosterlitz-Thouless scaling at the many-body localization transition in the random field Heisenberg spin chain
- Multiscale entanglement clusters at the many-body localization phase transition
- Avalanche induced co-existing localised and thermal regions in disordered chains
- Thermal inclusions: how one spin can destroy a many-body localized phase
- Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
- Universality and Quantum Criticality in Quasiperiodic Spin Chains
- Encoding the structure of many-body localization with matrix product operators
- Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows
- A self-consistent Hartree-Fock approach to Many-Body Localization
- Matrix product states approaches to operator spreading in ergodic quantum systems
- Direct measurement of non-local interactions in the many-body localized phase
- Excessive Noise as a Test for Many-Body Localization
Cited by in corpus (26)
- Challenges to observation of many-body localization
- Many-Body Localization in the Age of Classical Computing
- Finite-Size scaling analysis of many-body localization transition in quasi-periodic spin chains
- Many-body localization in large systems: Matrix-product-state approach
- Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
- Mean field theory of failed thermalizing avalanches
- A note on the quasiperiodic many-body localization transition in dimension
- Signatures of multifractality in a periodically driven interacting Aubry-André model
- Distinguishing an Anderson Insulator from a Many-Body Localized phase through space-time snapshots with Neural Networks
- Dynamics of Many-Body Delocalization in the Time-dependent Hartree-Fock Approximation
- Slow dynamics of a mobile impurity interacting with an Anderson insulator
- Tower of quantum scars in a partially many-body localized system
- Slow diffusion and Thouless localization criterion in modulated spin chains
- Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models
- Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
- Many-body localization crossover is sharper in quasiperiodic spin chains
- Many body localization transition with correlated disorder
- Stability of quasicrystalline ultracold fermions to dipolar interactions
- Disorder-induced spin-charge separation in the 1-D Hubbard model
- Single-particle excitations across the localization and many-body localization transition in quasi-periodic systems
- Many-body localization in the infinite-interaction limit and the discontinuous eigenstate phase transition
- Statistical Localization in a Rydberg Simulator of Lattice Gauge Theory
- Quantum Circuits Reproduce Experimental Two-dimensional Many-body Localization Transition Point
- Multibody expansion of the local integrals of motion: How many pairs of particle-hole do we really need to describe the quasiparticles in the many-body localized phase?
- Investigating Stark many-body localization with continuous unitary transformation flows
- Long-range resonances in quasiperiodic many-body localization