Modelling Non-Markovian Quantum Systems Using Tensor Networks

This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system.
The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.

Nominated as an outstanding Ph.D. thesis by the University of St Andrews, Fife, United Kingdom The novel and original presentation of the foundations of open quantum systems theory gives fresh insights into the field A tensor network framework for describing open quantum systems is introduced in very general terms, making individual concepts adaptible to further developments in the field Full exposition of a robust and highly efficient numerical method for simulating open quantum systems is given, providing an invaluable tool for modelling realistic quantum devices and technology

Inhalt
Introduction.- Background.- Method.- Results.- Conclusion.