Slow Nonthermalizing Dynamics in a Quantum Spin Glass

Abstract

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a quantum-interference effect. Here we study quantum dynamics of an isolated 1d spin-glass under application of a transverse field. At high energy densities, the system is ergodic, relaxing via resonance avalanche mechanism, that is also responsible for the destruction of MBL in non-glassy systems with power-law interactions. At low energy densities, the interaction-induced fields obtain a power-law soft gap, making the resonance avalanche mechanism inefficient. This leads to the persistence of the spin-glass order, as demonstrated by resonance analysis and by numerical studies. A small fraction of resonant spins forms a thermalizing system with long-range entanglement, making this regime distinct from the conventional MBL. The model considered can be realized in systems of trapped ions, opening the door to investigating slow quantum dynamics induced by glassiness.

arXiv comment6 pages, 3 figures

References in corpus (28)

• Many body localization and thermalization in quantum statistical mechanics
• 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
• Many-body localization in a quantum simulator with programmable random disorder
• Many-body localization: an introduction and selected topics
• Probing entanglement in a many-body-localized system
• Many-body Localization with Dipoles
• Marginal Stability in Structural, Spin and Electron Glasses
• Dicke quantum spin glass of atoms and photons
• Critical Time Crystals in Dipolar Systems
• Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Many body localization with long range interactions
• Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
• Localization in a random $x-y$ model with the long-range interaction: Intermediate case between single particle and many-body problems
• Can many-body localization persist in the presence of long-range interactions or long-range hopping?
• Many-body localization and quantum ergodicity in disordered long-range Ising models
• Energy transport in the Anderson insulator
• Clustering of non-ergodic eigenstates in quantum spin glasses
• Many-body localization in Ising models with random long-range interactions
• Localization and chaos in a spin glass model with random fields: Mapping to the localization problem in a Bethe lattice with a correlated disorder
• Many body localization-delocalization transition in quantum Sherrington-Kirkpatrick model
• Local field distributions in spin glasses
• Quantum quenches in isolated quantum glasses out of equilibrium
• Comment on "Many-body localization in Ising models with random long-range interactions"
• Suppressed Density of States in Self-Generated Coulomb Glasses
• Role of initial conditions in the dynamics of quantum glassy systems

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