| Autor: |
Jakub Rembieliński, Paweł Caban |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Quantum, Vol 5, p 420 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2521-327X |
| DOI: |
10.22331/q-2021-03-23-420 |
| Popis: |
In this paper we consider deterministic nonlinear time evolutions satisfying so called convex quasi-linearity condition. Such evolutions preserve the equivalence of ensembles and therefore are free from problems with signaling. We show that if family of linear non-trace-preserving maps satisfies the semigroup property then the generated family of convex quasi-linear operations also possesses the semigroup property. Next we generalize the Gorini-Kossakowski-Sudarshan-Lindblad type equation for the considered evolution. As examples we discuss the general qubit evolution in our model as well as an extension of the Jaynes-Cummings model. We apply our formalism to spin density matrix of a charged particle moving in the electromagnetic field as well as to flavor evolution of solar neutrinos. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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