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The linear response of synchronized time-delayed chaotic systems to small external perturbations, i.e., the phenomenon of chaos pass filter, is investigated for iterated maps. The distribution of distances, i.e., the deviations between two…

Chaotic Dynamics · Physics 2015-06-12 Steffen Zeeb , Johannes Kestler , Ido Kanter , Wolfgang Kinzel

To understand quantum optics experiments, we must perform calculations that consider the principal sources of noise, such as losses, spectral impurity and partial distinguishability. In both discrete and continuous variable systems, these…

Quantum Physics · Physics 2025-08-15 Jacob F. F. Bulmer , Javier Martínez-Cifuentes , Bryn A. Bell , Nicolás Quesada

Chaotic behavior can be produced from difference equations with unstable fixed points. Difference equations can be used for algorithms to control the chaotic behavior by perturbing a system parameter using feedback based on the first…

Chaotic Dynamics · Physics 2010-01-14 Edward H. Hellen , J. Keith Thomas

We describe a new opto-electronic device with time-delayed feedback that uses a Mach-Zehnder interferometer as passive nonlinearity and a semiconductor laser as a current-to-optical-frequency converter. Bandlimited feedback allows tuning of…

Chaotic Dynamics · Physics 2009-11-10 J. N. Blakely , Lucas Illing , Daniel J. Gauthier

Thanks to a new derivation of the fundamental equations governing multimode dynamics for a semiconductor laser near its threshold, we identify regimes of existence of a pure phase instability (and of a mixed phase-amplitude turbulence…

Optics · Physics 2014-11-26 L. Gil , G. L. Lippi

The transition from arbitrary to chaotic fluctuation properties in quantum systems is studied in a random matrix model. It is assumed that the Hamiltonian can be written as the sum of an arbitrary and a chaos producing part. The Gaussian…

Condensed Matter · Physics 2009-10-28 T. Guhr

Synchronization of chaos among a single pair of transverse modes featuring intermode dynamical non-independence, resulting from cross-saturation of modal population inversions and coherent modal field coupling, is explored in a thin-slice…

Optics · Physics 2019-12-03 Kenju Otsuka

Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic oscillations. Chaotic oscillations cover a wide…

chao-dyn · Physics 2009-09-25 Nikolai F. Rulkov , Lev S. Tsimring

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

Quantum Physics · Physics 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

The effect of time-correlated zero-mean Gaussian noise on chaotic synchronization is analyzed experimentally in small-size arrays of Chua's circuits. Depending on the correlation time, an improvement of the synchronization is found for…

chao-dyn · Physics 2015-06-24 V. Perez-Munuzuri , M. N. Lorenzo

Programmable quantum devices provide a platform to control the coherent dynamics of quantum wavefunctions. Here we experimentally realize adaptive monitored quantum circuits, which incorporate conditional feedback into non-unitary…

Chaotic oscillations of a linearly polarized single longitudinal-mode thin-slice Nd:GdVO4 laser placed in a self-mixing laser Doppler velocity scheme were dynamic characterized in terms the intensity probability distribution, joint…

Optics · Physics 2021-10-13 Kenju Otsuka , Seiichi Sudo

We consider the security of continuous-variable quantum key distribution using thermal (or noisy) Gaussian resource states. Specifically, we analyze this against collective Gaussian attacks using direct and reverse reconciliation where both…

Quantum Physics · Physics 2013-04-17 Christian Weedbrook , Stefano Pirandola , Timothy C. Ralph

We show that the output of systems with time-varying delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregular bursts. Within each laminar phase the output intensity…

Chaotic Dynamics · Physics 2022-02-22 David Müller , Andreas Otto , Günter Radons

We propose the Gaussian continuous-variable quantum key distribution using squeezed states in the composite channels including atmospheric propagation with transmittance fluctuations. We show that adjustments of signal modulation and use of…

Quantum Physics · Physics 2023-12-05 Ivan Derkach , Vladyslav C. Usenko , Radim Filip

Previous theoretical and experimental work has put forward 50-period semiconductor superlattices as fast, true random number generators at room temperature. Their randomness stems from feedback between nonlinear electronic dynamics and…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Miguel Ruiz-Garcia , Jonathan Essen , Manuel Carretero , Luis L. Bonilla , Bjorn Birnir

We introduce a novel approach for controlling fast chaos in time-delay dynamical systems and use it to control a chaotic photonic device with a characteristic time scale of ~12 ns. Our approach is a prescription for how to implement…

Chaotic Dynamics · Physics 2009-11-10 J. N. Blakely , L. Illing , D. J. Gauthier

In order to study the resonance spectra of chaotic cavities subject to some damping (which can be due to absorption or partial reflection at the boundaries), we use a model of damped quantum maps. In the high-frequency limit, the…

Chaotic Dynamics · Physics 2009-04-23 Stéphane Nonnenmacher , Emmanuel Schenck

Dynamical chaos has recently been shown to exist in the Gaussian approximation in quantum mechanics and in the self-consistent mean field approach to studying the dynamics of quantum fields. In this study, we first show that any variational…

Quantum Physics · Physics 2008-11-26 Fred Cooper , John Dawson , Salman Habib , Robert D. Ryne

By using nanoscale energy-transfer dynamics and density matrix formalism, we demonstrate theoretically and numerically that chaotic oscillation and random-number generation occur in a nanoscale system. The physical system consists of a pair…

Optics · Physics 2014-12-22 Makoto Naruse , Song-Ju Kim , Masashi Aono , Hirokazu Hori , Motoichi Ohtsu
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