activity
20022009
most citedPeriodic-Orbit Theory of Universality in Quantum Chaos

198 citations · 781 across the 11 of their papers we have counts for

collaborators

11 papers

nlin.CD2009★ 108 cited

Periodic-orbit theory of universal level correlations in quantum chaos

Sebastian Müller, Stefan Heusler, Alexander Altland +2

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 l…

math.PR2009

Random Walks on Directed Covers of Graphs

Lorenz A. Gilch, Sebastian Müller

Directed covers of finite graphs are also known as periodic trees or trees with finitely many cone types. We expand the existing theory of directed covers of finite graphs to those…

nlin.CD2008

Semiclassical spectral correlator in quasi one-dimensional systems

Petr Braun, Sebastian Müller, Fritz Haake

We investigate the spectral statistics of chaotic quasi one dimensional systems such as long wires. To do so we represent the spectral correlation function through derivativ…

nlin.CD2007★ 43 cited

Resummation and the semiclassical theory of spectral statistics

Jonathan P. Keating, Sebastian Müller

We address the question as to why, in the semiclassical limit, classically chaotic systems generically exhibit universal quantum spectral statistics coincident with those of Random…

nlin.CD2006★ 175 cited

Periodic-Orbit Theory of Level Correlations

Stefan Heusler, Sebastian Müller, Alexander Altland +2

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 g…

cond-mat.mes-hall2006★ 85 cited

Semiclassical Approach to Chaotic Quantum Transport

Sebastian Müller, Stefan Heusler, Petr Braun +1

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…