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Phase Space Representation for Open Quantum Systems within the Lindblad Theory

A. Isar·A. Sandulescu·W. Scheid
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Abstract

The Lindblad master equation for an open quantum system with a Hamiltonian containing an arbitrary potential is written as an equation for the Wigner distribution function in the phase space representation. The time derivative of this function is given by a sum of three parts: the classical one, the quantum corrections and the contribution due to the opening of the system. In the particular case of a harmonic oscillator, quantum corrections do not exist.

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A. Isar, A. Sandulescu, W. Scheid. 1996-05-29. Phase Space Representation for Open Quantum Systems within the Lindblad Theory. https://doi.org/10.1142/s0217979296001240

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