Absence of localization in interacting spin chains with a discrete symmetry

Abstract

We prove that spin chains symmetric under a combination of mirror and spin-flip symmetries and with a nondegenerate spectrum show finite spin transport at zero total magnetization and infinite temperature. We demonstrate this numerically using two prominent examples: the Stark many-body localization system and the symmetrized many-body localization system. We provide evidence of delocalization at all energy densities and show that the delocalization mechanism is robust to breaking the symmetry. We use our results to construct two localized systems which, when coupled, delocalize each other.

arXiv commentMain text: 4+$\epsilon$ pages, 4 figures. Supplemental material: 7 pages, 3 figures

References in corpus (51)

• Many body localization and thermalization in quantum statistical mechanics
• 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
• Exploring the many-body localization transition in two dimensions
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Many-body localization: an introduction and selected topics
• On Many-Body Localization for Quantum Spin Chains
• Many-body localization in a disordered quantum Ising chain
• Localization protected quantum order
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Quantum chaos challenges many-body localization
• Stability and instability towards delocalization in MBL systems
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system
• Avalanches and many-body resonances in many-body localized systems
• Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Stark many-body localization
• Thouless time analysis of Anderson and many-body localization transitions
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Dynamical obstruction to localization in a disordered spin chain
• Distinguishing localization from chaos: challenges in finite-size systems
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Evidence for unbounded growth of the number entropy in many-body localized phases
• How a small quantum bath can thermalize long localized chains
• Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
• Many-body delocalization as a quantum avalanche
• Absence of many-body mobility edges
• Observation of Stark many-body localization without disorder
• Challenges to observation of many-body localization
• Absence of true localization in many-body localized phases
• Markovian baths and quantum avalanches
• Symmetry constraints on many-body localization
• Interaction instability of localization in quasiperiodic systems
• Dephasing-induced diffusive transport in anisotropic Heisenberg model
• Non-local Adiabatic Response of a Localized System to Local Manipulations
• Is there slow particle transport in the MBL phase?
• Many-Body Localization: Stability and Instability
• On the stability of many-body localization in $d>1$
• Transport in a disordered tight-binding chain with dephasing
• Particle-hole symmetry, many-body localization, and topological edge modes
• Noise-induced subdiffusion in strongly localized quantum systems
• Thermal inclusions: how one spin can destroy a many-body localized phase
• The effect of $SU(2)$ symmetry on many-body localization and thermalization
• Slow Dynamics in Translation-Invariant Quantum Lattice Models
• Universal subdiffusion in strongly tilted many-body systems
• Transport in Stark Many Body Localized Systems
• Logarithmic, noise-induced dynamics in the Anderson insulator
• Localization-protected order in spin chains with non-Abelian discrete symmetries
• Classical and quantum systems: transport due to rare events
• Many-body delocalization via symmetry emergence

Cited by in corpus (10)

• Many-Body Localization in the Age of Classical Computing
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Stark-Many body localization in interacting infinite dimensional systems
• Discrete time-crystals in unbounded potentials
• Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
• Giant rectification in strongly-interacting driven tilted systems
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• Stark Many-Body Localisation Under Periodic Driving
• Investigating Stark many-body localization with continuous unitary transformation flows