Near action-degenerate periodic-orbit bunches: A skeleton of chaos (2009)
Altland, Alexander, Braun, Petr, Haake, Fritz, Heusler, Stefan, Knieper, Gerhard, Müller, Sebastian
Long periodic orbits of hyperbolic dynamics do not exist as independent individuals but rather come in closely packed bunches. Under weak resolution a bunch looks like a single orbit in configuration...
Periodic-orbit theory of universal level correlations in quantum chaos (2009)
Müller, Sebastian, Heusler, Stefan, Altland, Alexander, Braun, Petr, Haake, Fritz
Using Gutzwiller's semiclassical periodic-orbit theory we demonstrate universal behaviour of the two-point correlator of the density of levels for quantum systems whose classical limit is fully...
The semiclassical origin of curvature effects in universal spectral statistics (2009)
Waltner, Daniel, Heusler, Stefan, Urbina, Juan Diego, Richter, Klaus
We consider the energy averaged two-point correlator of spectral determinants and calculate contributions beyond the diagonal approximation using semiclassical methods. Evaluating the contributions...
Semiclassical Approach to Chaotic Quantum Transport (2006)
Müller, Sebastian, Heusler, Stefan, Braun, Petr, Haake, Fritz
We describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories,...
Periodic-Orbit Theory of Level Correlations (2006)
Heusler, Stefan, Müller, Sebastian, Altland, Alexander, Braun, Petr, Haake, Fritz
We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a generating function...
Semiclassical Theory for Parametric Correlation of Energy Levels (2006)
Nagao, Taro, Braun, Petr, Müller, Sebastian, Saito, Keiji, Heusler, Stefan, Haake, Fritz
Parametric energy-level correlation describes the response of the energy-level statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit theory for a chaotic...
Semiclassical Prediction for Shot Noise in Chaotic Cavities (2005)
Braun, Petr, Heusler, Stefan, Müller, Sebastian, Haake, Fritz
We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant...
Semiclassical Theory of Chaotic Conductors (2005)
Heusler, Stefan, Müller, Sebastian, Braun, Petr, Haake, Fritz
We calculate the Landauer conductance through chaotic ballistic devices in the semiclassical limit, to all orders in the inverse number of scattering channels without and with a magnetic field....
Periodic-Orbit Theory of Universality in Quantum Chaos (2005)
Müller, Sebastian, Heusler, Stefan, Braun, Petr, Haake, Fritz, Altland, Alexander
We argue semiclassically, on the basis of Gutzwiller's periodic-orbit theory, that full classical chaos is paralleled by quantum energy spectra with universal spectral statistics, in agreement with...
Semiclassical Foundation of Universality in Quantum Chaos (2004)
Müller, Sebastian, Heusler, Stefan, Braun, Petr, Haake, Fritz, Altland, Alexander
We sketch the semiclassical core of a proof of the so-called Bohigas-Giannoni-Schmit conjecture: A dynamical system with full classical chaos has a quantum energy spectrum with universal fluctuations...
Universal spectral form factor for chaotic dynamics (2003)
Heusler, Stefan, Müller, Sebastian, Braun, Petr, Haake, Fritz
We consider the semiclassical limit of the spectral form factor $K(\tau)$ of fully chaotic dynamics. Starting from the Gutzwiller type double sum over classical periodic orbits we set out to recover...
Universal Spectral Fluctuations in the Hadamard-Gutzwiller model and beyond / (2003)
Thesis (doctoral)--Universität Duisburg-Essen, 2003.
Braun, Peter A., Heusler, Stefan, Müller, Sebastian, Haake, Fritz
Employing symbolic dynamics for geodesic motion on the tesselated pseudosphere, the so-called Hadamard-Gutzwiller model, we construct extremely long periodic orbits without compromising accuracy. We...
Semiclassical evidence for the BGS-conjecture (2001)
Recently, M. Sieber and K. Richter achieved a breakthrough towards a proof of the BGS-conjecture by calculating semiclassically a first correction to the diagonal approximation of the orthogonal form...
The topology of the off-diagonal terms of the semiclassical form factor (2001)
The semiclassical origin of the logarithmic singularity at the Heisenberg time of the symplectic form factor is deduced by combining the result of M. Sieber and K. Richter for the first term of the...