Relaxation Phenomena in a System of Two Harmonic Oscillators
| Autor: | E. C. G. Sudarshan, Antonia Chimonidou |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Physics
Quantum Physics Quantum decoherence Statistical Mechanics (cond-mat.stat-mech) Anharmonicity Non-equilibrium thermodynamics FOS: Physical sciences Transition of state Atomic and Molecular Physics and Optics symbols.namesake Classical mechanics Quantum harmonic oscillator Quantum mechanics symbols Parametric oscillator Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) Harmonic oscillator Condensed Matter - Statistical Mechanics |
| DOI: | 10.48550/arxiv.0705.2794 |
| Popis: | 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. Comment: 22 pages, 6 Figures, Added contents, to appear in PRA |
| Databáze: | OpenAIRE |
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