359 research outputs found
Universal bifurcation property of two- or higher-dimensional dissipative systems in parameter space: Why does 1D symbolic dynamics work so well?
The universal bifurcation property of the H\'enon map in parameter space is
studied with symbolic dynamics. The universal- region is defined to
characterize the bifurcation universality. It is found that the universal-
region for relative small is not restricted to very small values. These
results show that it is also a universal phenomenon that universal sequences
with short period can be found in many nonlinear dissipative systems.Comment: 10 pages, figures can be obtained from the author, will appeared in
J. Phys.
Scattering phase of quantum dots: Emergence of universal behavior
We investigate scattering through chaotic ballistic quantum dots in the
Coulomb blockade regime. Focusing on the scattering phase, we show that large
universal sequences emerge in the short wavelength limit, where phase lapses of
systematically occur between two consecutive resonances. Our results are
corroborated by numerics and are in qualitative agreement with existing
experiments.Comment: 4 pages, 3 figures, final published versio
Reconstructing Compact Metrizable Spaces
The deck, , of a topological space is the set
, where denotes the
homeomorphism class of . A space is (topologically) reconstructible if
whenever then is homeomorphic to . It is
known that every (metrizable) continuum is reconstructible, whereas the Cantor
set is non-reconstructible.
The main result of this paper characterises the non-reconstructible compact
metrizable spaces as precisely those where for each point there is a
sequence of pairwise disjoint
clopen subsets converging to such that and are homeomorphic
for each , and all and .
In a non-reconstructible compact metrizable space the set of -point
components forms a dense . For -homogeneous spaces, this condition
is sufficient for non-reconstruction. A wide variety of spaces with a dense
set of -point components are presented, some reconstructible and
others not reconstructible.Comment: 15 pages, 2 figure
Experimental demonstration of composite stimulated Raman adiabatic passage
We experimentally demonstrate composite stimulated Raman adiabatic passage
(CSTIRAP), which combines the concepts of composite pulse sequences and
adiabatic passage. The technique is applied for population transfer in a
rare-earth doped solid. We compare the performance of CSTIRAP with conventional
single and repeated STIRAP, either in the resonant or the highly detuned
regime. In the latter case, CSTIRAP improves the peak transfer efficiency and
robustness, boosting the transfer efficiency substantially compared to repeated
STIRAP. We also propose and demonstrate a universal version of CSTIRAP, which
shows improved performance compared to the originally proposed composite
version. Our findings pave the way towards new STIRAP applications, which
require repeated excitation cycles, e.g., for momentum transfer in atom optics,
or dynamical decoupling to invert arbitrary superposition states in quantum
memories.Comment: 11 pages, 5 figure
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