Semiclassical Husimi distributions of Schur vectors in non-Hermitian quantum systems
File(s)
Published version
Author(s)
Hall, Joseph
Malzard, Simon
Graefe, Eva-Maria
Type
Journal Article
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.
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.
Date Issued
2023-07-28
Date Acceptance
2023-05-23
Citation
Physical Review Letters, 2023, 131 (4)
ISSN
0031-9007
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
131
Issue
4
Copyright Statement
© 2023 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
License URL
Identifier
http://arxiv.org/abs/2211.15336v3
Subjects
nlin.CD
quant-ph
quant-ph
Notes
8 pages and 3 figures
Publication Status
Published
Article Number
040402
Date Publish Online
2023-07-27