Approximate Evolution for A Hybrid System-An Optomechanical Jaynes-Cummings Model
Por:
Medina-Dozal, Luis, Ramos-Prieto, Iran, Recamier, Jose
Publicada:
1 dic 2020
Resumen:
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.
Filiaciones:
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Apdo Postal 48-3, Cuernavaca 62251, Morelos, Mexico
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