Energy transfer using unitary transformationsEnergy transfer using unitary transformations
Faculty of Sciences. Physics

Department of Physics - other

Mathematical Physics

article

2013 2013

Physics

Entropy: an international and interdisciplinary journal of entropy and information studies. - -

15(2013):12, p. 5121-5143

1099-4300

000330339700002

E

English (eng)

University of Antwerp

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.

https://repository.uantwerpen.be/docman/irua/8b58e6/e2d076ca.pdf

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