Relaxation Phenomena in a System of Two Harmonic Oscillators

Details Relaxation Phenomena in a System of Two Harmonic Oscillators Relaxation Phenomena in a System of Two Harmonic Oscillators

2007-05-21

arxiv.org/abs/0705.2794v3

Physics

Quantum Physics

22 pages, 6 Figures, Added contents, to appear in PRA

Scientific paper

10.1103/PhysRevA.77.032121

We study the process by which quantum correlations are created when an interaction Hamiltonian is repeatedly applied to a system of two harmonic oscillators for some characteristic time interval. We show that, for the case where the oscillator frequencies are equal, the initial Maxwell-Boltzmann distributions of the uncoupled parts evolve to a new equilibrium Maxwell-Boltzmann distribution through a series of transient Maxwell-Boltzmann distributions. Further, we discuss why the equilibrium reached when the two oscillator frequencies are unequal, is not a thermal one. All the calculations are exact and the results are obtained through an iterative process, without using perturbation theory.

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