Semiclassical Husimi distributions for non-Hermitian quantum systems
arXiv:2211.15336 · doi:10.1103/PhysRevLett.131.040402
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.
8 pages and 3 figures
References in corpus (8)
- Properties of Classical and Quantum Jensen-Shannon Divergence
- Fractal Weyl laws for chaotic open systems
- Quantum-to-classical crossover of quasi-bound states in open quantum systems
- Semiclassical structure of chaotic resonance eigenfunctions
- Universal intensity statistics of multifractal resonance states
- Husimi dynamics generated by non-Hermitian Hamiltonians
- Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
- Weyl law for open systems with sharply divided mixed phase space
Cited by in corpus (5)
- Resonance states of the three-disk scattering system
- Semiclassical Limit of Resonance States in Chaotic Scattering
- Quantum-to-semiclassical Husimi dynamics of non-Hermitian localization transitions
- Non-Hermitian gravitational effects on Bose-Einstein condensate
- Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization