The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics
arXiv:cond-mat/0408240 · doi:10.1103/PhysRevE.72.027201
Abstract
Considering a quantized chaotic system, we analyze the evolution of its eigenstates as a result of varying a control parameter. As the induced perturbation becomes larger, there is a crossover from a perturbative to a non-perturbative regime, which is reflected in the structural changes of the local density of states. For the first time the {\em full} scenario is explored for a physical system: an Aharonov-Bohm cylindrical billiard. As we vary the magnetic flux, we discover an intermediate twilight regime where perturbative and semiclassical features co-exist. This is in contrast with the {\em simple} crossover from a Lorentzian to a semicircle line-shape which is found in random-matrix models.
4 pages, 4 figures, improved version
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Cited by in corpus (4)
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
- Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory
- Parametric invariant Random Matrix Model and the emergence of multifractality