4 papers
Norm of resonance states in quantum scattering and electromagnetic systems
Florian Lorenz, Jan Möseritz-Schmidt, Roland Ketzmerick
Resonance states spatially diverge and are thus not square integrable. Instead, their norm is defined by the biorthogonal scalar product of left and right states. We replace the co…
Quantum Birthmarks: Ergodicity Breaking Beyond Scarring
Anton M. Graf, Saul Atwood, Mingxuan Xiao +3
A hallmark of classical ergodicity is the complete loss of memory of the initial conditions due to eventual uniform covering of {\it a priori} available phase space. In quantum cou…
Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization
Florian Lorenz, Jan Möseritz-Schmidt, Roland Ketzmerick
For chaotic scattering systems we investigate the left-right Husimi representation, which combines left and right resonance states. We demonstrate that the left-right Husimi repres…
Semiclassical Limit of Resonance States in Chaotic Scattering
Roland Ketzmerick, Florian Lorenz, Jan Robert Schmidt
Resonance states in quantum chaotic scattering systems have a multifractal structure that depends on their decay rate. We show how classical dynamics describes this structure for a…