48 citations · 114 across the 7 of their papers we have counts for
7 papers
Semiclassical foundation of universality in chaotic quantum circuits
Maximilian F. I. Kieler, Felix Fritzsch, Arnd Bäcker
The fundamental correspondence between quantum chaotic single-particle systems and random matrix theory is well-understood via periodic orbit theory. In contrast, we show that many…
Timescales for Deep and Full Thermalization
Tabea Herrmann, Felix Fritzsch, Arnd Bäcker
Isolated quantum systems typically approach thermal equilibrium as described by the Eigenstate Thermalization Hypothesis (ETH). Going beyond this involves either higher order corre…
Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
Steven Tomsovic, Arul Lakshminarayan, Shashi C. L. Srivastava +1
We derive universal entanglement entropy and Schmidt eigenvalue behaviors for the eigenstates of two quantum chaotic systems coupled with a weak interaction. The progression from a…
Partial Weyl Law for Billiards
Arnd Bäcker, Roland Ketzmerick, Steffen Löck +1
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of states, for a subset of eigenstates concentrating on an invariant region of ph…
Quality factors and dynamical tunneling in annular microcavities
Arnd Bäcker, Roland Ketzmerick, Steffen Löck +2
The key characteristic of an optical mode in a microcavity is its quality factor describing the optical losses. The numerical computation of this quantity can be very demanding for…
Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems
Arnd Bäcker
We give an introduction to some of the numerical aspects in quantum chaos. The classical dynamics of two--dimensional area--preserving maps on the torus is illustrated using the st…