Overview
My research group is working on theoretical quantum dynamics. We are investigating quantum-classical correspondence of open quantum systems described by non-Hermitian (and often PT-symmetric) Hamiltonians or Lindblad equations. We aim to develop a semiclassical framework for these theories and understand the quantum signatures of chaos. Some of us are also interested in quantum transition rate theories. We like to think our ideas are useful in cold atoms, optics, materials, and other applications.
Funding
We are grateful to the Royal Society and the European Research Council for funding our research via a Royal Society URF, a URF enhancement grant, and an ERC starting grant (CHAOS-PIQUANT)
Collaborators
Prof Hans Jürgen Korsch, TU Kaiserslautern, non-Hermitian quantum mechanics, 2010
Dr Roman Schubert, University of Bristol, semiclassics, non-Hermitian quantum mechanics, 2010
Prof. Dorje Brody, University of Surrey, PT-symmetric quantum theories, quaternionic quantum theories
Research Student Supervision
Christie,R, Quantum transition rate theory
Hall,J, PT-symmetric quantum chaos
Holmes,K, Non-Hermitian quantum theory in the semiclassical limit
Liverani,C, Quantum effects in hydrogen embrittlement
Longstaff,B, Many-particle and mean-field correspondence for cold atoms in leaky lattices
Mudute-Ndumbe,S, Split-Hermitian Random Matrix Theory
Rehman,W, Coherent state methods for non-Hermitian quantum systems
Rush,A, Phase-space methods for non-Hermitian quantum systems