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arXiv · 2407.11583

Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat

Giorgio Mantica
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Abstract

The multi-particle Arnol'd cat is a generalization of the Hamiltonian system, both classical and quantum, whose period evolution operator is the renown 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, is adopted. I have studied this system in a series of previous works, focusing on the problem of quantum-classical correspondence. In this paper I test the dynamics of this system by two related yet different indicators: the time autocorrelation function of the canonical position and the out of time correlator of position and momentum.

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Giorgio Mantica. 2024-07-16. Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat. https://doi.org/10.3390/e26070572

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