Scarring in open quantum systems
arXiv:0711.4970 · doi:10.1103/PhysRevE.77.045201
Abstract
We study scarring phenomena in open quantum systems. We show numerical evidence that individual resonance eigenstates of an open quantum system present localization around unstable short periodic orbits in a similar way as their closed counterparts. The structure of eigenfunctions around these classical objects is not destroyed by the opening. This is exposed in a paradigmatic system of quantum chaos, the cat map.
4 pages, 4 figures
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Cited by in corpus (21)
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Resonances in open quantum maps
- Localization of resonance eigenfunctions on quantum repellers
- Quantum chaotic resonances from short periodic orbits
- Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
- Distribution of resonances in the quantum open baker map
- Short periodic orbit approach to resonances and the fractal Weyl law
- Quantum signatures of classical multifractal measures
- Using basis sets of scar functions
- Universal intensity statistics of multifractal resonance states
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Super-sharp resonances in chaotic wave scattering
- Multifractality of open quantum systems
- Classical transients and the support of open quantum maps
- Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
- Effects of non-Markovian squeezed bath on the dynamics of open systems
- Semiclassical basis sets for the computation of molecular vibrational states
- Transient features of quantum open maps
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- Complexity of Quantum Trajectories
- Scarring in open chaotic systems: The local density of states