Research

My research activities are principally concerned with the
properties of open quantum systems, in particular nonMarkovian
systems, the use of the quantum trajectory method, quantum
measurement theory, and quantum Brownian motion.
In more detail, the problems of current interest are as follows:
 Developing an alternative method of deriving Markovian master equations from microscopic models that are a priori guaranteed to be of the required Lindblad form;
 Studying the roles of coarsegraining in constructing physically acceptable master equations, with particular application to studying open systems interacting with thermal reservoirs;
 Studying the thermodynamic properties of quantum systems coupled to thermal reservoirs at different temperatures;
 Deriving the general nonMarkovian
master equation of a system subject to classical noise. The method used is closely related to the stochastic Liouville equation method of Kubo and makes use of ZwanzigNakajima projection operator techniques to derive the nonMarkovian master equation. Applications to a two level atom in a noisy laser field, to qubits in fluctuating magnetic fields and to stochastic resonance problems in quantum dots are under consideration.
Publications
