From Geometry to Coherent Dissipative Dynamics in Quantum Mechanics

Autor: Hans Cruz-Prado, Alessandro Bravetti, Angel Garcia-Chung
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Quantum Reports, Vol 3, Iss 4, Pp 664-683 (2021)
Druh dokumentu: article
ISSN: 2624-960X
DOI: 10.3390/quantum3040042
Popis: Starting from the geometric description of quantum systems, we propose a novel approach to time-independent dissipative quantum processes according to which energy is dissipated but the coherence of the states is preserved. Our proposal consists of extending the standard symplectic picture of quantum mechanics to a contact manifold and then obtaining dissipation by using appropriate contact Hamiltonian dynamics. We work out the case of finite-level systems for which it is shown, by means of the corresponding contact master equation, that the resulting dynamics constitute a viable alternative candidate for the description of this subclass of dissipative quantum systems. As a concrete application, motivated by recent experimental observations, we describe quantum decays in a 2-level system as coherent and continuous processes.
Databáze: Directory of Open Access Journals