Citation:
Kumari, M. , & Ghose, S. . (2018). Quantum-classical correspondence in the vicinity of periodic orbits. Phys. Rev. E, 97, 052209. Retrieved from https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.052209
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.