Phase Space Representation for Open Quantum Systems within the Lindblad Theory

Details Phase Space Representation for Open Quantum Systems within the Lindblad Theory Phase Space Representation for Open Quantum Systems within the Lindblad Theory

1996-05-29

arxiv.org/abs/quant-ph/9605041v1

Int.J.Mod.Phys.B10:2767,1996

Physics

Quantum Physics

19 pages, Latex, accepted for publication in Int. J. Mod. Phys. B

Scientific paper

10.1142/S0217979296001240

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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