Nonlinear extension of the quantum dynamical semigroup
| Autor: | Paweł Caban, Jakub Rembieliński |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics Pure mathematics Physics and Astronomy (miscellaneous) Semigroup Regular polygon FOS: Physical sciences Extension (predicate logic) 01 natural sciences Atomic and Molecular Physics and Optics Quantum dynamical semigroup lcsh:QC1-999 010305 fluids & plasmas Nonlinear system Matrix (mathematics) Qubit 0103 physical sciences Quantum Physics (quant-ph) 010306 general physics Equivalence (measure theory) lcsh:Physics |
| Zdroj: | Quantum, Vol 5, p 420 (2021) |
| 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. 15 pages, 11 figures, extended version accepted in Quantum |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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