Husimi dynamics generated by non-Hermitian Hamiltonians

Date(s): Wednesday 22nd November 2023 (14:00-15:00)
Contact: Event Convenor Contact: Tristan.Lawrie@nottingham.ac.uk
Description: Speaker's Name: Wasim Rehman, Katherine Holmes, Eva-Maria Graefe.
Speaker's Affiliation: Imperial College London
Speaker's Research Theme(s): Mathematical Physics,Applied Mathematics
Abstract:
Quantum dynamics contains within it an underlying classical structure. In investigating this classical structure on phase-space we can identify the source of fundamental traits for nonHermitian systems. Namely, gain and loss experienced by a system can be directly related to the emergence of a norm landscape, depicting the varying values of the norm across phasespace. Here we will review our recent work investigating the phase-space dynamics of Husimi distributions for non-Hermitian systems. The time-evolved Husimi distribution can be described with a dynamical equation that truncates to a classical first-order partial differential equation in the semiclassical limit. The classical Husimi evolution is composed of two factors, (i) the initial Husimi distribution evaluated along phase-space trajectories, and (ii) the final value of the norm corresponding to each phase-space point. This talk will feature examples of anharmonic oscillator systems, including a Mexican hat potential.

Venue: George Green A04

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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