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In this article we present an application of a method of control of Hamiltonian systems to the chaotic velocity diffusion of a cold electron beam interacting with electrostatic waves. We numerically show the efficiency and robustness of the…

Chaotic Dynamics · Physics 2007-05-23 Guido Ciraolo , Cristel Chandre , Ricardo Lima , Marco Pettini , Michel Vittot

We bring together the semiclassical approximation, matrix integrals and the theory of symmetric polynomials in order to solve a long standing problem in the field of quantum chaos: to compute transport moments when tunnel barriers are…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes

We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a three-terminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2022-08-18 Lucas H. Oliveira , Anderson L. R. Barbosa , Marcel Novaes

Theoretical foundations of chaos have have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world…

In the presence of a complex classical dynamics associated with a mixed phase space, a quantum wave function can tunnel between two stable islands through the chaotic sea, an effect that has no classical counterpart. This phenomenon,…

Quantum Physics · Physics 2016-10-17 R. Dubertrand , J. Billy , D. Guéry-Odelin , B. Georgeot , G. Lemarié

Process of quantum tunneling of particles in various physical systems can be effectively controlled even by a weak and slow varying in time electromagnetic signal if to adapt specially its shape to a particular system. During an…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also…

Chaotic Dynamics · Physics 2009-11-07 C. Chandre , S. Wiggins , T. Uzer

Partial control is a technique used in systems with transient chaos. The aim of this control method is to avoid the escape of the orbits from a region Q of the phase space where the transient chaotic dynamics takes place. This technique is…

Dynamical Systems · Mathematics 2021-09-06 Rubén Capeáns , Miguel A. F. Sanjuán

We report on a significant improvement of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment we were able to realize time-varying and…

Chaotic Dynamics · Physics 2012-02-03 Thomas Jüngling , Aleksandar Gjurchinovski , Viktor Urumov

We develop a statistical theory of waveform shaping of incident waves that aim to efficiently deliver energy at weakly lossy targets which are embedded inside chaotic enclosures. Our approach utilizes the universal features of chaotic…

Disordered Systems and Neural Networks · Physics 2018-07-25 Huanan Li , Suwun Suwunnarat , Tsampikos Kottos

In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model…

Chaotic Dynamics · Physics 2013-03-27 Gabriele Gradoni , Jen-Hao Yeh , Bo Xiao , Thomas M. Antonsen , Steven M. Anlage , Edward Ott

Atmospheric channels are a promising candidate to establish secure quantum communication on a global scale. However, due to their turbulent nature, it is crucial to understand the impact of the atmosphere on the quantum properties of light…

Quantum Physics · Physics 2017-06-22 Martin Bohmann , Regina Kruse , Jan Sperling , Christine Silberhorn , Werner Vogel

A pulse of matter waves may dramatically change its shape when traversing an absorbing barrier with time-dependent transparency. Here we show that this effect can be utilized for controlled manipulation of spatially-localized quantum…

Quantum Physics · Physics 2015-05-04 Arseni Goussev

We study dynamical properties of bouncing particles inside of channels with sinusoidal walls. Taking as parameters the amplitude and the phases between the walls we study the transmitivity and its dependence on these parameters. We find an…

Chaotic Dynamics · Physics 2007-05-23 Ivan Herrera , Alberto Mendoza , Eduardo S. Tututi

We study the dynamics of a single-particle wave packet on a one-dimensional lattice subject to periodic random phase kicks with finite spatial correlation length. This stroboscopic setting provides a controllable model of dephasing in…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Pei Wang

We consider the unsteady regimes of an acoustically-driven jet that forces a recirculating flow through successive reflections on the walls of a square cavity. The specific question being addressed is to know whether the system can sustain…

Fluid Dynamics · Physics 2019-04-17 Gaby Launay , Tristan Cambonie , Daniel Henry , Alban Pothérat , Valéry Botton

The transmission of information can couple two entities of very different nature, one of them serving as a memory for the other. Here we study the situation in which information is stored in a wave field and serves as a memory that pilots…

Soft Condensed Matter · Physics 2016-09-16 Stéphane Perrard , Matthieu Labousse , Emmanuel Fort , Yves Couder

A model for diffusion on a cubic lattice with a random distribution of traps is developed. The traps are redistributed at certain time intervals. Such models are useful for describing systems showing dynamic disorder, such as ion-conducting…

Condensed Matter · Physics 2009-10-31 S. Mandal , R. Dasgupta

The interplay between chaotic tunneling and dynamical localization in mixed phase space is investigated. Semiclassical analysis using complex classical orbits reveals that tunneling through torus regions and transport in chaotic regions are…

Chaotic Dynamics · Physics 2009-10-09 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

Transport in Hamiltonian systems with weak chaotic perturbations has been much studied in the past. In this paper, we introduce a new class of problems: transport in Hamiltonian systems with slowly changing phase space structure that are…

Chaotic Dynamics · Physics 2019-10-02 Freddy Bouchet , Eric Woillez