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Quantum Reversibility: Is there an Echo?
Moritz Hiller, Tsampikos Kottos, Doron Cohen +1
We study the possibility to undo the quantum mechanical evolution in a time reversal experiment. The naive expectation, as reflected in the common terminology ("Loschmidt echo"), i…
Superconductor-proximity effect in hybrid structures: Fractality versus Chaos
A. Ossipov, Tsampikos Kottos
We study the proximity effect of a superconductor to a normal system with fractal spectrum. We find that there is no gap in the excitation spectrum, even in the case where the unde…
Signatures of Classical Diffusion in Quantum Fluctuations of 2D Chaotic Systems
Tsampikos Kottos, Alexander Ossipov, Theo Geisel
We consider a two-dimensional (2D) generalization of the standard kicked-rotor (KR) and show that it is an excellent model for the study of 2D quantum systems with underlying diffu…
Scars on quantum networks ignore the Lyapunov exponent
Holger Schanz, Tsampikos Kottos
We show that enhanced wavefunction localization due to the presence of short unstable orbits and strong scarring can rely on completely different mechanisms. Specifically we find t…
Quantum Dissipation due to the Interaction with Chaos
Doron Cohen, Tsampikos Kottos
We discuss the possibility of having "quantum dissipation" due to the interaction with chaotic degrees of freedom. We define the conditions that should be satisfied in order to hav…
Statistical properties of resonance widths for open Quantum Graphs
Tsampikos Kottos, Holger Schanz
We connect quantum compact graphs with infinite leads, and turn them into scattering systems. We derive an exact expression for the scattering matrix, and explain how it is related…