Wigner distribution function and entropy of the damped harmonic oscillator within the theory of the open quantum systems

Author:: Isar, Aurelian
Published:: Jan 1, 1995.
Physical Description:: 1 electronic document

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Summary:

The harmonic oscillator with dissipation is studied within the framework of the Lindblad theory for open quantum systems. By using the Wang-Uhlenbeck method, the Fokker-Planck equation, obtained from the master equation for the density operator, is solved for the Wigner distribution function, subject to either the Gaussian type or the delta-function type of initial conditions. The obtained Wigner functions are two-dimensional Gaussians with different widths. Then a closed expression for the density operator is extracted. The entropy of the system is subsequently calculated and its temporal behavior shows that this quantity relaxes to its equilibrium value.

Other Subject(s):

THEORETICAL MATHEMATICS

Collection:

NASA Technical Reports Server (NTRS) Collection.

Note:

Document ID: 19950016573.
Accession ID: 95N22990.
NASA. Goddard Space Flight Center, Second International Workshop on Harmonic Oscillators; p 275-282.

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