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arXiv · 1802.04711

Quantum-classical correspondence in the vicinity of periodic orbits

Meenu Kumari·Shohini Ghose
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Abstract

Quantum-classical correspondence in chaotic systems is a long-standing problem. We describe a method to quantify Bohr's correspondence principle and calculate the size of quantum numbers for which we can expect to observe quantum-classical correspondence near periodic orbits of Floquet systems. Our method shows how the stability of classical periodic orbits affects quantum dynamics. We demonstrate our method by analyzing quantum-classical correspondence in the quantum kicked top (QKT), which exhibits both regular and chaotic behavior. We use our correspondence conditions to identify signatures of classical bifurcations even in a deep quantum regime. Our method can be used to explain the breakdown of quantum-classical correspondence in chaotic systems.

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Meenu Kumari, Shohini Ghose. 2018-05-22. Quantum-classical correspondence in the vicinity of periodic orbits. https://doi.org/10.1103/physreve.97.052209

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