Weak-ergodicity-breaking via lattice supersymmetry

Abstract

We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric (SUSY) doublets, also referred to as many-body scars, that we construct analytically. These states are stable against arbitrary SUSY-preserving perturbations, including inhomogeneous couplings. For the specific case of two-leg ladders, we provide extensive numerical evidence that shows how those states are the only ones violating the ETH, and discuss their robustness to SUSY-violating perturbations. Our work suggests a generic mechanism to stabilize quantum many-body scars in lattice models in arbitrary dimensions.

arXiv comment9 pages, 4 figures

References in corpus (54)

• Chaos and Quantum Thermalization
• Nonequilibrium dynamics of closed interacting quantum systems
• Probing many-body dynamics on a 51-atom quantum simulator
• Quantum many-body scars
• Keldysh Field Theory for Driven Open Quantum Systems
• Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
• Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
• Many-body interferometry of a Rydberg-dressed spin lattice
• Emergent SU(2) dynamics and perfect quantum many-body scars
• Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
• Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
• Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
• Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
• Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
• Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
• Exact Excited States of Non-Integrable Models
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Signatures of integrability in the dynamics of Rydberg-blockaded chains
• Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
• Unified structure for exact towers of scar states in the AKLT and other models
• Collective many-body interaction in Rydberg dressed atoms
• Onsager's Scars in Disordered Spin Chains
• Quantum Many-Body Scars and Space-Time Crystalline Order from Magnon Condensation
• Lattice Models with N=2 Supersymmetry
• Quantum Many-Body Scars in Optical Lattices
• Quantum Spin Ice and dimer models with Rydberg atoms
• Systematic construction of scarred many-body dynamics in 1D lattice models
• Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
• Exact three-colored quantum scars from geometric frustration
• Dynamical scar states in driven fracton systems
• Quantum Many-Body Scar States in Two-Dimensional Rydberg Atom Arrays
• Topological many-body scar states in dimensions 1, 2, and 3
• Lattice fermion models with supersymmetry
• Quantum many-body scars from virtual entangled pairs
• Slow quantum thermalization and many-body revivals from mixed phase space
• Quench Dynamics in Randomly Generated Extended Quantum Models
• Quantum Many-body Scars in a Landau Level on a Thin Torus
• Quantum scars of bosons with correlated hopping
• Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing
• Cluster Luttinger Liquids of Rydberg-dressed Atoms in Optical Lattices
• Exact results for strongly-correlated fermions in 2+1 dimensions
• Stabilizing two-dimensional quantum scars by deformation and synchronization
• Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
• Charge frustration and quantum criticality for strongly correlated fermions
• Quantum quenches with integrable pre-quench dynamics
• A supersymmetric multicritical point in a model of lattice fermions
• Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
• New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states
• Spin chains with dynamical lattice supersymmetry
• Superfrustration of charge degrees of freedom
• Reply to "Comment on "Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis"" by Mondaini et.al
• Exact ground states and correlation functions of chain and ladder models of interacting hardcore bosons or spinless fermions
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• A staggered fermion chain with supersymmetry on open intervals

Cited by in corpus (19)

• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Flat Band Quantum Scar
• A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
• Exact many-body scars and their stability in constrained quantum chains
• Extensive multipartite entanglement from su(2) quantum many-body scars
• Driving quantum many-body scars in the PXP model
• Exhaustive Characterization of Quantum Many-Body Scars using Commutant Algebras
• Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
• Tuning between continuous time crystals and many-body scars in long-range XYZ spin chains
• Device-independent verification of Einstein-Podolsky-Rosen steering
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• Hidden Bethe states in a partially integrable model
• Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
• Optical ladder operators in the Glauber-Fock oscillator array
• Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
• Periodic revivals from supersymmetry in a fermionic kinetically constrained model
• Local symmetries and extensive ground-state degeneracy of a 1D supersymmetric fermionic chain
• Nonequilibrium many-body dynamics in supersymmetric quenching