57,149 research outputs found
Tunable microwave signal generator with an optically-injected 1310nm QD-DFB laser
Tunable microwave signal generation with frequencies ranging from below 1 GHz to values over 40 GHz is demonstrated experimentally with a 1310nm Quantum Dot (QD) Distributed-Feedback (DFB) laser. Microwave signal generation is achieved using the period 1 dynamics induced in the QD DFB under optical injection. Continuous tuning in the positive detuning frequency range of the quantum dot's unique stability map is demonstrated. The simplicity of the experimental configuration offers promise for novel uses of these nanostructure lasers in Radio-over-Fiber (RoF) applications and future mobile networks. © 2013 Optical Society of America
Recurrence plot statistics and the effect of embedding
Recurrence plots provide a graphical representation of the recurrent patterns
in a timeseries, the quantification of which is a relatively new field. Here we
derive analytical expressions which relate the values of key statistics,
notably determinism and entropy of line length distribution, to the correlation
sum as a function of embedding dimension. These expressions are obtained by
deriving the transformation which generates an embedded recurrence plot from an
unembedded plot. A single unembedded recurrence plot thus provides the
statistics of all possible embedded recurrence plots. If the correlation sum
scales exponentially with embedding dimension, we show that these statistics
are determined entirely by the exponent of the exponential. This explains the
results of Iwanski and Bradley (Chaos 8 [1998] 861-871) who found that certain
recurrence plot statistics are apparently invariant to embedding dimension for
certain low-dimensional systems. We also examine the relationship between the
mutual information content of two timeseries and the common recurrent structure
seen in their recurrence plots. This allows time-localized contributions to
mutual information to be visualized. This technique is demonstrated using
geomagnetic index data; we show that the AU and AL geomagnetic indices share
half their information, and find the timescale on which mutual features appear
Scaling of NonOhmic Conduction in Strongly Correlated Systems
A new scaling formalism is used to analyze nonlinear I-V data in the vicinity
of metal-insulator transitions (MIT) in five manganite systems. An exponent,
called the nonlinearity exponent, and an onset field for nonlinearity, both
characteristic of the system under study, are obtained from the analysis. The
onset field is found to have an anomalously low value corroborating the
theoretically predicted electronically soft phases. The scaling functions above
and below the MIT of a polycrystalline sample are found to be the same but with
different exponents which are attributed to the distribution of the MIT
temperatures. The applicability of the scaling in manganites underlines the
universal response of the disordered systems to electric field
Nonlinear Schroedinger-Poisson Theory for Quantum-Dot Helium
We use a nonlinear Schroedinger-Poisson equation to describe two interacting
electrons with opposite spins confined in a parabolic potential, a quantum dot.
We propose an effective form of the Poisson equation taking into account the
dimensional mismatch of the two-dimensional electronic system and the
three-dimensional electrostatics. The results agree with earlier numerical
calculations performed in a large basis of two-body states and provide a simple
model for continuous quantum-classical transition with increasing nonlinearity.
Specific intriguing properties due to eigenstate non-orthogonality are
emphasized.Comment: RevTeX, 8 pages with 6 included eps figure
Dissipative vortex solitons in 2D-lattices
We report the existence of stable symmetric vortex-type solutions for
two-dimensional nonlinear discrete dissipative systems governed by a
cubic-quintic complex Ginzburg-Landau equation. We construct a whole family of
vortex solitons with a topological charge S = 1. Surprisingly, the dynamical
evolution of unstable solutions of this family does not alter significantly
their profile, instead their phase distribution completely changes. They
transform into two-charges swirl-vortex solitons. We dynamically excite this
novel structure showing its experimental feasibility.Comment: 4 pages, 20 figure
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