Husimi dynamics generated by non-Hermitian Hamiltonians

• URL: http://arxiv.org/abs/2212.03719v2
• Date: Tue, 11 Apr 2023 15:53:41 GMT
• Title: Husimi dynamics generated by non-Hermitian Hamiltonians
• Authors: Katherine Holmes, Wasim Rehman, Simon Malzard, and Eva-Maria Graefe
• Abstract summary: We analyse the dynamics of the Husimi distribution in a semiclassical limit. We show how the full quantum dynamics unfolds on top of the classical Husimi dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The dynamics generated by non-Hermitian Hamiltonians are often less intuitive than those of conventional Hermitian systems. Even for models as simple as a complexified harmonic oscillator, the dynamics for generic initial states shows surprising features. Here we analyse the dynamics of the Husimi distribution in a semiclassical limit, illuminating the foundations of the full quantum evolution. 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. Both factors conspire to lead to intriguing dynamical behaviours. We demonstrate how the full quantum dynamics unfolds on top of the classical Husimi dynamics for two instructive examples.

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