On global dynamics for damped driven Jaynes-Cummings equations
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917351519158272 |
|---|---|
| author | Komech, A. I. Kopylova, E. A. |
| author_facet | Komech, A. I. Kopylova, E. A. |
| contents | The article concerns damped driven Jaynes-Cummings equation which describes quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which are polynomial in the creation and annihilation operators, and their structures correspond to the theory of completely positive and trace preserving generators (CPTP) of Lindblad and Kossakowski & al.
Our main result is the construction of global generalised solutions with values in the Hilbert space of nonnegative Hermitian Hilbert-Schmidt operators in the case of time-dependent pumping. The proofs rely on finite-dimensional approximations of the annihilation and creation operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On global dynamics for damped driven Jaynes-Cummings equations Komech, A. I. Kopylova, E. A. Analysis of PDEs Mathematical Physics Quantum Physics 81V80, 81S05, 81S08 37K06, 37K40, 37K45, 78A40, 78A60 The article concerns damped driven Jaynes-Cummings equation which describes quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which are polynomial in the creation and annihilation operators, and their structures correspond to the theory of completely positive and trace preserving generators (CPTP) of Lindblad and Kossakowski & al. Our main result is the construction of global generalised solutions with values in the Hilbert space of nonnegative Hermitian Hilbert-Schmidt operators in the case of time-dependent pumping. The proofs rely on finite-dimensional approximations of the annihilation and creation operators. |
| title | On global dynamics for damped driven Jaynes-Cummings equations |
| topic | Analysis of PDEs Mathematical Physics Quantum Physics 81V80, 81S05, 81S08 37K06, 37K40, 37K45, 78A40, 78A60 |
| url | https://arxiv.org/abs/2603.17562 |