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arXiv · 2211.15336

Semiclassical Husimi distributions for non-Hermitian quantum systems

Joseph Hall·Simon Malzard·Eva-Maria Graefe
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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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Joseph Hall, Simon Malzard, Eva-Maria Graefe. 2022-11-28. Semiclassical Husimi distributions for non-Hermitian quantum systems. https://doi.org/10.1103/physrevlett.131.040402

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