Stochastic process behind nonlinear thermodynamic quantum master equation

Details Stochastic process behind nonlinear thermodynamic quantum master equation Stochastic process behind nonlinear thermodynamic quantum master equation

2010-05-07

arxiv.org/abs/1005.1190v1

Physics

Quantum Physics

4 pages

Scientific paper

We propose a piecewise deterministic Markovian jump process in Hilbert space such that the covariance matrix of this stochastic process solves the thermodynamic quantum master equation. The proposed stochastic process is particularly simple because the normalization of the vectors in Hilbert space is preserved only on average. As a consequence of the nonlinearity of the thermodynamic master equation, the construction of stochastic trajectories involves the density matrix as a running ensemble average. We identify a principle of detailed balance and a fluctuation-dissipation relation for our Markovian jump process.

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