Mr Matt Lane

Matt graduated with a master's degree in Physics from the University of Warwick before joining the Centre for Cross-disciplinary Approaches to Non-Equilibrium Systems (CANES) CDT at King's and graduating with a master's degree in Mathematics. He went on to do his PhD at King's Department of Physics under the supervision of Professor Lev Kantorovich, looking at analytic approaches to solving particle dynamics in open quantum systems without making approximations of the environment. Working also with Professor Ian Ford (UCL), he developed rigorous representations of environment-induced dynamics by mapping the interaction onto a set of stochastic fields in both real and imaginary time, and derived optimal techniques for simulating such systems.

More recently, he has been working on extending the formalism from bosons to fermions by introducing a new class of non-equilibrium Green's functions. He is now looking to publish this theory and develop a simulation of fermions in a driven current junction coupled to a phononic bath. Matt is due to graduate late 2021/early 2022.

Thesis title

Exact dynamics of fully interacting bosons and fermions in Open Quantum Systems with the introduction of stochastic Green's Functions.

Research interests

• Open quantum systems
• Quantum dynamics
• Non-equilibrium Green's functions
• Stochastic representations.

PhD supervisor

Principal supervisor: Professor Lev Kantorovitch