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Article
Open AccessControlling chaos using edge computing hardware
Machine learning provides a data-driven approach for creating a digital twin of a system – a digital model used to predict the system behavior. Having an accurate digital twin can drive many applications, such...
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Article
Open AccessNext generation reservoir computing
Reservoir computing is a best-in-class machine learning algorithm for processing information generated by dynamical systems using observed time-series data. Importantly, it requires very small training data se...
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Article
Predicting hidden structure in dynamical systems
The dynamical properties of a nonlinear system can be learned from its time-series data, but is it possible to predict what happens when the system is tuned far away from its training values?
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Chapter
Reservoir Computing Using Autonomous Boolean Networks Realized on Field-Programmable Gate Arrays
In this chapter, we consider realizing a reservoir computer on an electronic chip that allows for many tens of network nodes whose connection topology can be quickly reconfigured. The reservoir computer displa...
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Article
Open AccessThe information of high-dimensional time-bin encoded photons
High-dimensional entanglement is an important physical resource for quantum communication. A basic issue for any communication scheme is how many shared bits two parties can extract subject to experimental no...
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Chapter
Superluminal Communication in Quantum Mechanics
One consequence of the special theory of relativity is that no information can be transmitted between two parties in a time shorter than it would take light, propagating through vacuum, to travel between the p...
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Chapter
Causality in Superluminal Pulse Propagation
The theory of electromagnetism for wave propagation in vacuum, as embodied by Maxwell’s equations, contains physical constants that can be combined to arrive at the speed of light in vacuum c. As shown by Einstei...
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Article
Small-signal amplification of period-doubling bifurcations in smooth iterated maps
Various authors have shown that, near the onset of a period-doubling bifurcation, small perturbations in the control parameter may result in much larger disturbances in the response of the dynamical system. Su...
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Article
Solitons go slow
A new method for slowing down light pulses while minimizing pulse distortion could help create practical photonic devices that route bits of information in optical-telecommunication systems.
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Article
An Ionically Based Map** Model with Memory for Cardiac Restitution
Many features of the sequence of action potentials produced by repeated stimulation of a patch of cardiac muscle can be modeled by a 1D map**, but not the full behavior included in the restitution portrait. ...
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Article
Transparency on an optical chip
A two-laser trick that renders opaque media transparent can be achieved in systems of tiny optical resonators — with potentially profound consequences for optical communication and information processing.
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Article
Superluminal speed of information? (reply)
Stenner et al. reply — It was most natural to present our findings1 in the time domain, although there is an equivalent explanation in the frequency domain if Fourier analysis is used. Nimtz2 uses a frequency-dom...
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Article
The speed of information in a ‘fast-light’ optical medium
One consequence of the special theory of relativity is that no signal can cause an effect outside the source light cone, the space-time surface on which light rays emanate from the source1. Violation of this prin...
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Chapter and Conference Paper
Pulse propagation in a high-gain bichromatically-driven Raman amplifier
Using intense electromagnetic fields, it is now possible to tailor the absorption. amplification, and dispersion properties of multi-level atoms [1]. Dramatic examples include the reduction of the group velocity ...
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Chapter and Conference Paper
Dynamics of a two-photon laser
The high degree of temporal coherence of laser light arises from a complex interplay between the fundamental light-matter interactions of absorption, spontaneous emission, and stimulated emission. The coherenc...
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Chapter and Conference Paper
Polarization dynamics of a two-photon laser
The high degree of temporal coherence of laser light arises from a complex interplay between the fundamental light-matter interactions of absorption, spontaneous emission, and stimulated emission. The coherenc...
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Chapter and Conference Paper
Observation of 30% Continuous-Wave Two-Photon Optical Amplification
Two-photon lasers have intrigued researchers for years because the dynamical behavior of this new class of highly nonlinear oscillator is very different from normal one-photon lasers. Experimental tests of the...
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Chapter
The Two-Photon Laser
We explain in simple terms the behavior of two-photon lasers and describe recent results that have lead to the realization of the first continuous-wave two-photon optical laser. We stress the differences betwe...
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Chapter and Conference Paper
Bistability and Chaos in Counterpropagating Laser Beams
In this paper we describe experimental observations which demonstrate that multi-stability and chaotic instabilities can occur in cavity-less nonlinear optical systems. In particular, we have experimentally in...
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Article
Competition between four-wave mixing and amplified spontaneous emission
There has recently been considerable interest in nonlinear optical interactions in which two different processes compete with one another. In this paper, we review some recent work in this area, and describe t...
