Semiclassical Husimi distributions for non-Hermitian quantum systems
Quantum Physics
2023-07-28 v3 Chaotic Dynamics
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.
Cite
@article{arxiv.2211.15336,
title = {Semiclassical Husimi distributions for non-Hermitian quantum systems},
author = {Joseph Hall and Simon Malzard and Eva-Maria Graefe},
journal= {arXiv preprint arXiv:2211.15336},
year = {2023}
}
Comments
8 pages and 3 figures