Semiclassical Husimi distributions for non-Hermitian quantum systems

• URL: http://arxiv.org/abs/2211.15336v3
• Date: Tue, 9 May 2023 11:25:49 GMT
• Title: Semiclassical Husimi distributions for non-Hermitian quantum systems
• Authors: Joseph Hall, Simon Malzard, and Eva-Maria Graefe
• Abstract summary: We construct a semiclassical phase-space density of Schur vectors in non-Hermitian quantum systems. Each Schur vector is associated to a single Planck cell. The Schur states are organised according to a classical norm landscape on phase space.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We construct a semiclassical phase-space density of Schur vectors in non-Hermitian quantum systems. Each Schur vector is associated to a single Planck cell. The Schur states are organised according to a classical norm landscape on phase space - a classical manifestation of the lifetimes which are characteristic of non-Hermitian systems. To demonstrate the generality of this construction we apply it to a highly non-trivial example, a PT-symmetric kicked rotor in the regimes of mixed and chaotic classical dynamics.

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