Classical route to ergodicity and scarring in collective quantum systems

Abstract

Ergodicity, a fundamental concept in statistical mechanics, is not yet a fully understood phenomena for closed quantum systems, particularly its connection with the underlying chaos. In this review, we consider a few examples of collective quantum systems to unveil the intricate relationship of ergodicity as well as its deviation due to quantum scarring phenomena with their classical counterpart. A comprehensive overview of classical and quantum chaos is provided, along with the tools essential for their detection. Furthermore, we survey recent theoretical and experimental advancements in the domain of ergodicity and its violations. This review aims to illuminate the classical perspective of quantum scarring phenomena in interacting quantum systems.

28 pages, 15 figures, Topical Review

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Cited by in corpus (7)

• Quantum many-body scars from unstable periodic orbits
• Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
• Observation of ergodicity breaking and quantum many-body scars in spinor gases
• Dissipative chaos and steady state of open Tavis-Cummings dimer
• Control of dynamical phase transitions and non-ergodic relaxation via spinor phases
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system
• Exploring the properties of quantum scars in a toy model