Behavior of Correlation Functions in the Dynamics of the Multiparticle Quantum Arnol’d Cat

The multi-particle Arnol’d cat is a generalization of the Hamiltonian system, both classical and quantum, whose period evolution operator is the renowned map that bears its name. It is obtained following the Joos–Zeh prescription for decoherence by adding a number of scattering particles in the conf...

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書目詳細資料
發表在:Entropy
主要作者: Giorgio Mantica
格式: Article
語言:英语
出版: MDPI AG 2024-06-01
主題:
在線閱讀:https://www.mdpi.com/1099-4300/26/7/572
實物特徵
總結:The multi-particle Arnol’d cat is a generalization of the Hamiltonian system, both classical and quantum, whose period evolution operator is the renowned map that bears its name. It is obtained following the Joos–Zeh prescription for decoherence by adding a number of scattering particles in the configuration space of the cat. Quantization follows swiftly if the Hamiltonian approach, rather than the semiclassical approach, is adopted. The author has studied this system in a series of previous works, focusing on the problem of quantum–classical correspondence. In this paper, the dynamics of this system are tested by two related yet different indicators: the time autocorrelation function of the canonical position and the out-of-time correlator of position and momentum.
ISSN:1099-4300