199 citations · 1.2k across the 28 of their papers we have counts for
28 papers
Power-law random banded matrices and ultrametric matrices: eigenvector distribution in the intermediate regime
E. Bogomolny, M. Sieber
The power-law random banded matrices and the ultrametric random matrices are investigated numerically in the regime where eigenstates are extended but all integer matrix moments re…
Eigenfunction distribution for the Rosenzweig-Porter model
E. Bogomolny, M. Sieber
The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple…
A microwave realization of the Gaussian symplectic ensemble
A. Rehemanjiang, M. Allgaier, C. H. Joyner +4
Following an idea by Joyner et al. [Europhys. Lett. 107, 50004 (2014)] a microwave graph with an antiunitary symmetry T obeying T^2=-1 is realized. The Kramers doublets expected fo…
Particle creation and annihilation at interior boundaries: One-dimensional models
Stefan Keppeler, Martin Sieber
We describe creation and annihilation of particles at external sources in one spatial dimension in terms of interior-boundary conditions (IBCs). We derive explicit solutions for sp…
Efficient semiclassical approach for time delays
Jack Kuipers, Dmitry V. Savin, Martin Sieber
The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration…
GSE statistics without spin
Christopher H. Joyner, Sebastian Müller, Martin Sieber
Energy levels statistics following the Gaussian Symplectic Ensemble (GSE) of Random Matrix Theory have been predicted theoretically and observed numerically in numerous quantum cha…
Semiclassical approach to discrete symmetries in quantum chaos
Chris Joyner, Sebastian Müller, Martin Sieber
We use semiclassical methods to evaluate the spectral two-point correlation function of quantum chaotic systems with discrete geometrical symmetries. The energy spectra of these sy…
Trace formula for a dielectric microdisk with a point scatterer
Robert F. M. Hales, Martin Sieber, Holger Waalkens
Two-dimensional dielectric microcavities are of widespread use in microoptics applications. Recently, a trace formula has been established for dielectric cavities which relates the…
Internal and External Resonances of Dielectric Disks
C. P. Dettmann, G. V. Morozov, M. Sieber +1
Circular microresonators (microdisks) are micron sized dielectric disks embedded in a material of lower refractive index. They possess modes with complex eigenvalues (resonances) w…
The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay
Jack Kuipers, Martin Sieber
The Wigner time delay of a classically chaotic quantum system can be expressed semiclassically either in terms of pairs of scattering trajectories that enter and leave the system o…
Wavefunctions, Green's functions and expectation values in terms of spectral determinants
Martin Sieber
We derive semiclassical approximations for wavefunctions, Green's functions and expectation values for classically chaotic quantum systems. Our method consists of applying singular…
Periodic orbit bifurcations and scattering time delay fluctuations
J. P. Keating, A. M. Ozorio de Almeida, S. D. Prado +2
We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the ti…
Semiclassical expansion of parametric correlation functions of the quantum time delay
Jack Kuipers, Martin Sieber
We derive semiclassical periodic orbit expansions for a correlation function of the Wigner time delay. We consider the Fourier transform of the two-point correlation function, the…
Semiclassical universality of parametric spectral correlations
Jack Kuipers, Martin Sieber
We consider quantum systems with a chaotic classical limit that depend on an external parameter, and study correlations between the spectra at different parameter values. In partic…
Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
Martin Sieber
We consider the semiclassical approximation to the spectral form factor K(tau) for two-dimensional uniformly hyperbolic systems, and derive the first off-diagonal correction for sm…
Semiclassical Theory of Chaotic Quantum Transport
Klaus Richter, Martin Sieber
We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbo…
Occurrence of periodic Lamé functions at bifurcations in chaotic Hamiltonian systems
M. Brack, M. Mehta, K. Tanaka
We investigate cascades of isochronous pitchfork bifurcations of straight-line librating orbits in some two-dimensional Hamiltonian systems with mixed phase space. We show that the…
Wavefunction localization and its semiclassical description in a 3-dimensional system with mixed classical dynamics
M. Brack, M. Sieber, S. M. Reimann
We discuss the localization of wavefunctions along planes containing the shortest periodic orbits in a three-dimensional billiard system with axial symmetry. This model mimicks the…
Spectral statistics in chaotic systems with a point interaction
Martin Sieber
We consider quantum systems with a chaotic classical limit that are perturbed by a point-like scatterer. The spectral form factor K(tau) for these systems is evaluated semiclassica…
Geometrical theory of diffraction and spectral statistics
Martin Sieber
We investigate the influence of diffraction on the statistics of energy levels in quantum systems with a chaotic classical limit. By applying the geometrical theory of diffraction…
Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line
Martin Sieber
In billiard systems with a flux line semiclassical approximations for the density of states contain contributions from periodic orbits as well as from diffractive orbits that are s…
Billiard Systems in Three Dimensions: The Boundary Integral Equation and the Trace Formula
Martin Sieber
We derive semiclassical contributions of periodic orbits from a boundary integral equation for three-dimensional billiard systems. We use an iterative method that keeps track of th…
Uniform Approximation for Period-Quadrupling Bifurcations
Martin Sieber, Henning Schomerus
We derive a uniform approximation for semiclassical contributions of periodic orbits to the spectral density which is valid for generic period-quadrupling bifurcations in systems w…
Semiclassical Interpretation of the Mass Asymmetry in Nuclear Fission
M. Brack, S. M. Reimann, M. Sieber
We give a semiclassical interpretation of the mass asymmetry in the fission of heavy nuclei. Using only a few classical periodic orbits and a cavity model for the nuclear mean fiel…