energy transfer using unitary transformations

Clicks: 223
ID: 173928
2013
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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 (scattering 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. The explicit knowledge of the S-matrix makes it possible to do accurate numerical evaluations of the time-dependent wave function. They confirm the quasi-periodic behavior. In particular, the energy flows back and forth between the two oscillators in a quasi-periodic manner.
Reference Key
galway2013entropyenergy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Winny O'Kelly de Galway;Jan Naudts
Journal European journal of medicinal chemistry
Year 2013
DOI
10.3390/e15125121
URL
http://www.mdpi.com/1099-4300/15/12/5121
Keywords Keywords not found

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