Quantum-classical correspondence in the vicinity of periodic orbits
| Autor: | Kumari, Meenu, Ghose, Shohini |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 97, 052209 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.97.052209 |
| Popis: | 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. Comment: Published in Physical Review E. Minor typos corrected |
| Databáze: | arXiv |
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