Quantum Many-Body Scars and Weak Breaking of Ergodicity

2020/11/18 by Maksym Serbyn, Dmitry A. Abanin, Zlatko Papić · 1 voice · 9 citations
Physics and Astronomy · #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #nlin.CD #quant-ph

paper · pdf · doi:10.1038/s41567-021-01230-2

published as Nat. Phys. (2021) · Review article, comments welcome

arxiv created 2020/11/18 · arxiv published 2020/11/18 · arxiv updated 2021/05/31

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.

Cited by

• Fibonacci many-body scars in a decorated Rule-54 quantum cellular automaton
• Fragmentation, Zero Modes, and Collective Bound States in Constrained Models
• Eta-pairing state in flatband lattice: Interband coupling effect on entanglement entropy logarithm
• Single-eigenstate test of eigenstate thermalization hypothesis via perturbed eigenstate quench
• Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators
• Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations
• Finding periodic orbits in projected quantum many-body dynamics
• ScarFinder: a detector of optimal scar trajectories in quantum many-body dynamics
• Liouvillian Spectral Transition in Noisy Quantum Many-Body Scars

Discussions

• Sorry it took me a while to come back to this! This is a somewhat technical article, but it’s a review of what I’ve was talking about: arxiv.org/abs/2011.09486 PS: if you want to read any of the refer [bsky, 0 points, 0 comments]

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