7,133 research outputs found
Current and vorticity auto correlation functions in open microwave billiards
Using the equivalence between the quantum-mechanical probability density in a
quantum billiard and the Poynting vector in the corresponding microwave system,
current distributions were studied in a quantum dot like cavity, as well as in
a Robnik billiard with lambda=0.4, and an introduced ferrite cylinder. Spatial
auto correlation functions for currents and vorticity were studied and compared
with predictions from the random-superposition-of-plane-waves hypothesis. In
addition different types of vortex neighbour spacing distributions were
determined and compared with theory.Comment: PTP-LaTeX, 10 pages with 6 figures submitted to Progress of
Theoretical Physics Supplemen
Correlations of electromagnetic fields in chaotic cavities
We consider the fluctuations of electromagnetic fields in chaotic microwave
cavities. We calculate the transversal and longitudinal correlation function
based on a random wave assumption and compare the predictions with measurements
on two- and three-dimensional microwave cavities.Comment: Europhys style, 8 pages, 3 figures (included
Formation and interaction of resonance chains in the open 3-disk system
In ballistic open quantum systems one often observes that the resonances in
the complex-energy plane form a clear chain structure. Taking the open 3-disk
system as a paradigmatic model system, we investigate how this chain structure
is reflected in the resonance states and how it is connected to the underlying
classical dynamics. Using an efficient scattering approach we observe that
resonance states along one chain are clearly correlated while resonance states
of different chains show an anticorrelation. Studying the phase space
representations of the resonance states we find that their localization in
phase space oscillate between different regions of the classical trapped set as
one moves along the chains and that these oscillations are connected to a
modulation of the resonance spacing. A single resonance chain is thus no WKB
quantization of a single periodic orbits, but the structure of several
oscillating chains arises from the interaction of several periodic orbits. We
illuminate the physical mechanism behind these findings by combining the
semiclassical cycle expansion with a quantum graph model.Comment: 25 pages, 15 figure
Selective enhancement of topologically induced interface states in a dielectric resonator chain
The recent realization of topological phases in insulators and
superconductors has advanced the quest for robust quantum technologies. The
prospects to implement the underlying topological features controllably has
given incentive to explore optical platforms for analogous realizations. Here
we realize a topologically induced defect state in a chain of dielectric
microwave resonators and show that the functionality of the system can be
enhanced by supplementing topological protection with non-hermitian symmetries
that do not have an electronic counterpart. We draw on a characteristic
topological feature of the defect state, namely, that it breaks a sublattice
symmetry. This isolates the state from losses that respect parity-time
symmetry, which enhances its visibility relative to all other states both in
the frequency and in the time domain. This mode selection mechanism naturally
carries over to a wide range of topological and parity-time symmetric optical
platforms, including couplers, rectifiers and lasers.Comment: 5 pages, 4 figures, + supplementary information (3 pages, 4 figures
Algebraic fidelity decay for local perturbations
From a reflection measurement in a rectangular microwave billiard with
randomly distributed scatterers the scattering and the ordinary fidelity was
studied. The position of one of the scatterers is the perturbation parameter.
Such perturbations can be considered as {\em local} since wave functions are
influenced only locally, in contrast to, e. g., the situation where the
fidelity decay is caused by the shift of one billiard wall. Using the
random-plane-wave conjecture, an analytic expression for the fidelity decay due
to the shift of one scatterer has been obtained, yielding an algebraic
decay for long times. A perfect agreement between experiment and theory has
been found, including a predicted scaling behavior concerning the dependence of
the fidelity decay on the shift distance. The only free parameter has been
determined independently from the variance of the level velocities.Comment: 4 pages, 5 figure
Experimental Observation of a Fundamental Length Scale of Waves in Random Media
Waves propagating through a weakly scattering random medium show a pronounced
branching of the flow accompanied by the formation of freak waves, i.e.,
extremely intense waves. Theory predicts that this strong fluctuation regime is
accompanied by its own fundamental length scale of transport in random media,
parametrically different from the mean free path or the localization length. We
show numerically how the scintillation index can be used to assess the scaling
behavior of the branching length. We report the experimental observation of
this scaling using microwave transport experiments in quasi-two-dimensional
resonators with randomly distributed weak scatterers. Remarkably, the scaling
range extends much further than expected from random caustics statistics.Comment: 5 pages, 5 figure
Experimental observation of the mobility edge in a waveguide with correlated disorder
The tight-binding model with correlated disorder introduced by Izrailev and
Krokhin [PRL 82, 4062 (1999)] has been extended to the Kronig-Penney model. The
results of the calculations have been compared with microwave transmission
spectra through a single-mode waveguide with inserted correlated scatterers.
All predicted bands and mobility edges have been found in the experiment, thus
demonstrating that any wanted combination of transparent and non-transparent
frequency intervals can be realized experimentally by introducing appropriate
correlations between scatterers.Comment: RevTex, 4 pages including 4 Postscript figure
Spectral properties of microwave graphs with local absorption
The influence of absorption on the spectra of microwave graphs has been
studied experimentally. The microwave networks were made up of coaxial cables
and T junctions. First, absorption was introduced by attaching a 50 Ohm load to
an additional vertex for graphs with and without time-reversal symmetry. The
resulting level-spacing distributions were compared with a generalization of
the Wigner surmise in the presence of open channels proposed recently by Poli
et al. [Phys. Rev. Lett. 108, 174101 (2012)]. Good agreement was found using an
effective coupling parameter. Second, absorption was introduced along one
individual bond via a variable microwave attenuator, and the influence of
absorption on the length spectrum was studied. The peak heights in the length
spectra corresponding to orbits avoiding the absorber were found to be
independent of the attenuation, whereas, the heights of the peaks belonging to
orbits passing the absorber once or twice showed the expected decrease with
increasing attenuation.Comment: 7 pages, 7 figure
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