Non-Markovian correlation functions for open quantum systems

Non-Markovian correlation functions for open quantum systems

Beyond the conventional quantum regression theorem, a general formula for non-Markovian correlation functions of arbitrary systemoperators both in the timeand frequency-domain is given. We approach the problemby transforming the conventional time-non-localmaster equation into dispersed time-local equations-of-motion. The validity of our approximations is discussed andwe find that the non-Markov...

Non-markovian Dynamics of Open Quantum Systems

Title of dissertation: NON-MARKOVIAN DYNAMICS OF OPEN QUANTUM SYSTEMS Chris H. Fleming, Doctor of Philosophy, 2011 Dissertation directed by: Professor Bei-Lok Hu Department of Physics An open quantum system is a quantum system that interacts with some environment whose degrees of freedom have been coarse grained away. This model describes non-equilibrium processes more general than scattering-m...

Linear quantum state diffusion for non-Markovian open quantum systems

We demonstrate the relevance of complex Gaussian stochastic processes to the stochastic state vector description of non-Markovian open quantum systems. These processes express the general Feynman-Vernon path integral propagator for open quantum systems as the classical ensemble average over stochastic pure state propagators in a natural way. They are the coloured generalization of complex Wiene...

Jumplike unravelings for non-Markovian open quantum systems

Correlation Functions in Open Quantum-Classical Systems

Quantum time correlation functions are often the principal objects of interest in experimental investigations of the dynamics of quantum systems. For instance, transport properties, such as diffusion and reaction rate coefficients, can be obtained by integrating these functions. The evaluation of such correlation functions entails sampling from quantum equilibrium density operators and quantum ...