Quantum graphs: Applications to quantum chaos and universal spectral statistics

S Gnutzmann∥, U Smilansky - Advances in Physics, 2006 - Taylor & Francis
During the last few years quantum graphs have become a paradigm of quantum chaos with
applications from spectral statistics to chaotic scattering and wavefunction statistics. In the …

Semiclassical theory of chaotic conductors

S Heusler, S Müller, P Braun, F Haake - Physical review letters, 2006 - APS
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 …

Semiclassical prediction for shot noise in chaotic cavities

P Braun, S Heusler, S Müller… - Journal of Physics A …, 2006 - iopscience.iop.org
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 …

Shot noise in chaotic cavities with an arbitrary number of open channels

DV Savin, HJ Sommers - Physical Review B—Condensed Matter and …, 2006 - APS
Using the random matrix approach, we calculate analytically the average shot-noise power
in a chaotic cavity at an arbitrary number of propagating modes (channels) in each of the two …

Semiclassical theory of quantum chaotic transport: Phase-space splitting, coherent backscattering, and weak localization

P Jacquod, RS Whitney - Physical Review B—Condensed Matter and …, 2006 - APS
We investigate transport properties of quantized chaotic systems in the short-wavelength
limit. We focus on noncoherent quantities such as the Drude conductance, its sample-to …

Shot noise in semiclassical chaotic cavities

RS Whitney, P Jacquod - Physical review letters, 2006 - APS
We construct a trajectory-based semiclassical theory of shot noise in clean chaotic cavities.
In the universal regime of vanishing Ehrenfest time τ E, we reproduce the random matrix …

Semiclassical theory of the Ehrenfest time dependence of quantum transport in ballistic quantum dots

PW Brouwer, S Rahav - Physical Review B—Condensed Matter and Materials …, 2006 - APS
We present a trajectory-based semiclassical calculation of the Ehrenfest-time dependence
of the weak localization correction and the universal conductance fluctuations of a ballistic …

Towards a semiclassical justification of the effective random matrix theory for transport through ballistic chaotic quantum dots

PW Brouwer, S Rahav - Physical Review B—Condensed Matter and Materials …, 2006 - APS
The scattering matrix S of a ballistic chaotic cavity is the direct sum of a classical and a
quantum part, which describe the scattering of channels with typical dwell time smaller and …

Ehrenfest time and the coherent backscattering off ballistic cavities

S Rahav, PW Brouwer - Physical review letters, 2006 - APS
If the Ehrenfest time τ E of a ballistic cavity is not negligible in comparison to its dwell time τ
D, the weak localization correction to the cavity's transmission is suppressed proportional to …

Semiclassical theory of a quantum pump

S Rahav, PW Brouwer - Physical Review B—Condensed Matter and Materials …, 2006 - APS
In a quantum charge pump, the periodic variation of two parameters that affect the phase of
the electronic wave function causes the flow of a direct current. The operating mechanism of …