Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913432821825536 |
|---|---|
| author | Mantica, Giorgio |
| author_facet | Mantica, Giorgio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat Mantica, Giorgio Quantum Physics Mathematical Physics Chaotic Dynamics 81Q50 (Primary) 37d45, 81s22 (Secondary) 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. |
| title | Behavior of correlation functions in the dynamics of the Multiparticle Quantum Arnol'd Cat |
| topic | Quantum Physics Mathematical Physics Chaotic Dynamics 81Q50 (Primary) 37d45, 81s22 (Secondary) |
| url | https://arxiv.org/abs/2407.11583 |