Energy transfer using unitary transformations
Quantum Physics
2015-04-01 v1
Abstract
We study the unitary time evolution of a simple quantum Hamiltonian describing two harmonic oscillators coupled via a three-level system. The latter acts as an engine transferring energy from one oscillator to the other and is driven in a cyclic manner by time-dependent external fields. The S-matrix of the cycle is obtained in analytic form. The total number of quanta contained in the system is a conserved quantity. As a consequence the spectrum of the S-matrix is purely discrete and the evolution of the system is quasi-periodic.
Keywords
Cite
@article{arxiv.1307.0381,
title = {Energy transfer using unitary transformations},
author = {Winny O'Kelly de Galway and Jan Naudts},
journal= {arXiv preprint arXiv:1307.0381},
year = {2015}
}