Abstract:Classically chaotic systems are ergodic, that is after a long time, any trajectory will be arbitrarily close to any point of the available phase space, filling it uniformly. Using Born's rules to conn...Classically chaotic systems are ergodic, that is after a long time, any trajectory will be arbitrarily close to any point of the available phase space, filling it uniformly. Using Born's rules to connect quantum states with probabilities, one might then expect that all chaotic quantum states should be uniformly distributed in phase space. This simplified picture was shaken by the discovery of quantum scarring, where some eigenstates are concentrated along unstable periodic orbits. Despite of that, it is consensus that most eigenstates of chaotic models are indeed ergodic. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred. Even the most random states of this interacting atom-photon system never occupy more than half of the available phase space. Quantum ergodicity is achieved only as an ensemble property, after temporal averages are performed covering the phase space.Read More
Publication Year: 2020
Publication Date: 2020-09-01
Language: en
Type: article
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Cited By Count: 4
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