Quantum Many-Body Scars and Weak Breaking of Ergodicity
arXiv:2011.09486 · doi:10.1038/s41567-021-01230-2
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.
arXiv commentReview article, comments welcome
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- Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models
- Quantum criticality and factorization in a constrained Rydberg spin chain
- Unconventional early-time relaxation in the Rydberg chain
- Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
- Scaling Laws of Quantum Information Lifetime in Monitored Quantum Dynamics
- Basis dependence of eigenstate thermalization
- Temperature and conditions for thermalization after canonical quenches
- Locally controlled arrested thermalization
- Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
- Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays
- Persistent-current states originating from the Hilbert space fragmentation in momentum space
- Engineering long-range and multi-body interactions via global kinetic constraints
- Observation of hierarchy of Hilbert space ergodicities in the quantum dynamics of a single spin
- Quantum Monte Carlo and Stabilizer States
- Estimating the spectral density of unstable scars
- Gaussian state approximation of quantum many-body scars
- Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
- Quantum many-body scarring from Kramers-Wannier duality