312 citations · 5.8k across the 176 of their papers we have counts for
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Controlling Quantum Chaos: Optimal Coherent Targeting
Steven Tomsovic, Juan Diego Urbina, Klaus Richter
One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sen…
Ergodic and non-ergodic many-body dynamics in strongly nonlinear lattices
Dominik Hahn, Juan-Diego Urbina, Klaus Richter +2
The study of non-linear oscillator chains in classical many-body dynamics has a storied history going back to the seminal work of Fermi, Pasta, Ulam and Tsingou (FPUT). We introduc…
Towards a semiclassical understanding of chaotic single- and many-particle quantum dynamics at post-Heisenberg time scales
Daniel Waltner, Klaus Richter
Despite considerable progress during the last decades in devising a semiclassical theory for classically chaotic quantum systems a quantitative semiclassical understanding of their…
Quantum graphs whose spectra mimic the zeros of the Riemann zeta function
Jack Kuipers, Quirin Hummel, Klaus Richter
One of the most famous problems in mathematics is the Riemann hypothesis: that the non-trivial zeros of the Riemann zeta function lie on a line in the complex plane. One way to pro…
Transport moments and Andreev billiards with tunnel barriers
Jack Kuipers, Klaus Richter
Open chaotic systems are expected to possess universal transport statistics and recently there have been many advances in understanding and obtaining expressions for their transpor…
A sub-determinant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs
Daniel Waltner, Sven Gnutzmann, Gregor Tanner +1
We study implications of unitarity for pseudo-orbit expansions of the spectral determinants of quantum maps and quantum graphs. In particular, we advocate to group pseudo-orbits in…