Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model

Autor: Luis Medina-Dozal, Irán Ramos-Prieto, José Récamier
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Entropy, Vol 22, Iss 12, p 1373 (2020)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e22121373
Popis: In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator U^(t) for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with U^(t) to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely numerical calculations using the full Hamiltonian and the agreement between them is remarkable.
Databáze: Directory of Open Access Journals
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