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We propose a simple method to visualize spatio-temporal correlation between scales using wavelets, and apply it to two typical spatio-temporally chaotic systems, namely to coupled complex Ginzburg-Landau oscillators with diffusive…

Chaotic Dynamics · Physics 2007-06-13 Hiroya Nakao , Tsuyoshi Mishiro , Michio Yamada

The correlation between the values of wavefunctions at two different spatial points is examined for chaotic systems with time-reversal symmetry. Employing a supermatrix method, we find that there exist long-range Friedel oscillations of the…

Condensed Matter · Physics 2009-10-28 V. N. Prigodin , N. Taniguchi , A. Kudrolli , V. Kidambi , S. Sridhar

A one-way coupled spatiotemporally chaotic map lattice is used to contruct cryptosystem. With the combinatorial applications of both chaotic computations and conventional algebraic operations, our system has optimal cryptographic properties…

The information scrambling in many-body systems is closely related to quantum chaotic dynamics, complexity, and gravity. Here we propose a collision model to simulate the information dynamics in an all-optical system. In our model the…

Quantum Physics · Physics 2020-04-23 Yan Li , Xingli Li , Jiasen Jin

We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising…

Quantum Physics · Physics 2023-05-03 Kanato Goto , Taozhi Guo , Tomoki Nosaka , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka

We demonstrate both theoretically and experimentally that the distribution of the wavefunction inside a partially open chaotic timereversal symmetric system displays significant deviations from the Porter Thomas distribution. We give…

chao-dyn · Physics 2009-10-30 P. Seba , F. Haake , M. Kus , M. Barth , U. Kuhl , H. -J. Stoeckmann

We have introduced a mechanism for synchronizing chaotic systems by one way coupling with a variable delay that is reset at finite intervals. Here we extend this method to time delay systems and suggest a new cryptosystem based on this. We…

Chaotic Dynamics · Physics 2010-07-02 G. Ambika , R. E. Amritkar

Spatio-temporal imaging of light propagation is very important in photonics because it provides the most direct tool available to study the interaction between light and its host environment. Sub-ps time resolution is needed to investigate…

Optics · Physics 2016-06-17 Lorenzo Pattelli , Romolo Savo , Matteo Burresi , Diederik S. Wiersma

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

We present a new optoelectronic architecture intended for chaotic optical intensity generation. The principle relies on an electro-optic non-linear delay dynamics, which non linearity is performed by a 4-waves integrated optics…

Optics · Physics 2009-06-08 Mourad Nourine , Michael Peil , Laurent Larger

Recent studies on topological materials are expanding into the nonlinear regime, while the central principle, namely the bulk-edge correspondence, is yet to be elucidated in the strongly nonlinear regime. Here, we reveal that nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-05-12 Kazuki Sone , Motohiko Ezawa , Zongping Gong , Taro Sawada , Nobuyuki Yoshioka , Takahiro Sagawa

We prove quantum-classical correspondence for bound conservative classically chaotic Hamiltonian systems. In particular, quantum Liouville spectral projection operators and spectral densities, and hence classical dynamics, are shown to…

chao-dyn · Physics 2009-10-28 Joshua Wilkie , Paul Brumer

Multimode fibers are attractive for a variety of applications such as internet data transfer, data center hubs, micromanipulation, optogenetics and other biomedical applications. A major hurdle for imaging through multimode fibers is the…

Time reversal mirrors have been successfully implemented for various kinds of waves propagating in complex media. In particular, acoustic waves in chaotic cavities exhibit a refocalization that is extremely robust against external…

Mesoscale and Nanoscale Physics · Physics 2008-12-17 Hernan L. Calvo , Rodolfo A. Jalabert , Horacio M. Pastawski

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an…

Chaotic Dynamics · Physics 2009-11-13 O. Alvarez-Llamoza , M. G. Cosenza

Classical analogs of the quantum mechanical concepts of the Loschmidt Echo and quantum fidelity are developed with the goal of detecting small perturbations in a closed wave chaotic region. Sensing techniques that employ a…

Chaotic Dynamics · Physics 2010-12-14 Biniyam Tesfaye Taddese , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

Quantum-classical correspondence in conservative chaotic Hamiltonian systems is examined using a uniform structure measure for quantal and classical phase space distribution functions. The similarities and differences between quantum and…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Paul Brumer

Time, polarization, and wavelength multiplexing schemes have been used to satisfy the growing need of transmission capacity. Using space as a new dimension for communication systems has been recently suggested as a versatile technique to…

Information Theory · Computer Science 2019-03-05 Abderrahmen Trichili , Ki-Hong Park , Mourad Zghal , Boon S. Ooi , Mohamed-Slim Alouini

This paper investigates the use of dynamical chaotic systems to encrypt and exchange images between different devices. Two devices were used to simulate the Cubic Map, having the same set of initial conditions, to generate an encryption…

Cryptography and Security · Computer Science 2019-10-15 T. A. Santos , E. P. Magalhaes , D. R. Fiorio , E. G. Nepomuceno

The most exciting recent development in nonlinear dynamics is realization that chaos can be useful. One application involves "Secure Communication". Two piecewise linear systems with switching nonlinearities have been taken as chaos…

Cryptography and Security · Computer Science 2007-08-21 Sourav Dhar , Kabir Chakraborty
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