Quantum Many-Body Scars and Weak Breaking of Ergodicity

Abstract

Recent discovery of persistent revivals in quantum simulators based on Rydberg atoms have pointed to the existence of a new type of dynamical behavior that challenged the conventional paradigms of integrability and thermalization. This novel collective effect has been named quantum many-body scars by analogy with weak ergodicity breaking of a single particle inside a stadium billiard. In this overview, we provide a pedagogical introduction to quantum many-body scars and highlight the newly emerged connections with the semiclassical quantization of many-body systems. We discuss the relation between scars and more general routes towards weak violations of ergodicity due to "embedded" algebras and non-thermal eigenstates, and highlight possible applications of scars in quantum technology.

Review article, comments welcome

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• Review: Quantum Metrology and Sensing with Many-Body Systems
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• Genuine quantum scars in many-body spin systems
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• Fractons from a liquid of singlet pairs
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• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
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• Characterization of hybrid quantum eigenstates in systems with mixed classical phasespace
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• Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
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• Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential
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• Dynamical Geometry of the Haldane Model under a Quantum Quench
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• Vanishing correlations in stochastic and bistochastic controlled circuits
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• Engineering long-range and multi-body interactions via global kinetic constraints
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
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• Quantum criticality and factorization in a constrained Rydberg spin chain
• Basis dependence of eigenstate thermalization
• Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models
• Temperature and conditions for thermalization after canonical quenches
• Persistent-current states originating from the Hilbert space fragmentation in momentum space
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• Quantum Monte Carlo and Stabilizer States
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• Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays
• Quantum many-body scarring from Kramers-Wannier duality
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• Pauli weight requirement of the matrix elements in time-evolved local operators: dependence beyond the equilibration temperature
• Gaussian state approximation of quantum many-body scars
• Exploring the properties of quantum scars in a toy model
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• Subsystem Thermalization Hypothesis in Quantum Spin Chains with Conserved Charges
• Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
• Scaling Laws of Quantum Information Lifetime in Monitored Quantum Dynamics
• Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
• Locally controlled arrested thermalization
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos
• Kinetically constrained cavity QED: from blockaded ferromagnetism to long-range quantum scars
• Transport in a System with a Tower of Quantum Many-Body Scars
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Metastable discrete time-crystal resonances in a dissipative central spin system
• Additional quantum many-body scars of the spin-$1$ $XY$ model with Fock-space cages and commutant algebras
• Non-destructive optical read-out and manipulation of circular Rydberg atoms