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The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

Recent years have seen a flurry of research activity in the study of minimal and autonomous information ratchets. However, the existing classical and quantum models are somewhat hard to compare, and, hence, quantifying possible quantum…

Statistical Mechanics · Physics 2019-04-24 Josey Stevens , Sebastian Deffner

The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phase space is chaotic, and in some parts it is regular). The…

Quantum Physics · Physics 2013-08-30 Yevgeny Krivolapov , Shmuel Fishman , Edward Ott , Thomas M. Antonsen

We connect quantum graphs with infinite leads, and turn them to scattering systems. We show that they display all the features which characterize quantum scattering systems with an underlying classical chaotic dynamics: typical poles, delay…

Chaotic Dynamics · Physics 2009-11-07 Tsampikos Kottos , Uzy Smilansky

We extract the information of a quantum motion and decode it into a certain orbit via a single measurable quantity. Such that a quantum chaotic system can be reconstructed as a chaotic attractor. Two configurations for reconstructing this…

Quantum Physics · Physics 2020-05-19 Nan Yang , Xuedong Hu , Yong-Chun Liu , Ting Yu , Franco Nori

Low-order quantum resonances manifested by directed currents have been realized with cold atoms. Here we show that by increasing the strength of an experimentally achievable delta-kicking ratchet potential, quantum resonances of a very high…

Quantum Physics · Physics 2009-11-13 Anatole Kenfack , Jiangbin Gong , Arjendu K. Pattanayak

In recent years, analysis and control of quantum chaos are increasingly important, but the lack of the concept of trajectory makes it impossible to analyze quantum chaos by the methods used in classical chaos. This research aims to connect…

Quantum Physics · Physics 2022-04-01 Ciann-Dong Yang , Yen-Jiun Chen , Yun-Yan Lee

The interplay between classical chaos and quantum tunneling is examined in driven nonlinear systems, with emphasis on how semi classical phase space structures influence purely quantum transport phenomena. We show that, in the presence of…

Chaotic Dynamics · Physics 2026-04-10 Sumita Datta

The kicked rotor provides a simple yet powerful model for introducing many of the central concepts of classical and quantum chaos. Despite its apparent simplicity, it exhibits rich dynamical behavior and has found applications across a wide…

Quantum Physics · Physics 2026-04-23 Giuliano Benenti , Giulio Casati , Jiangbin Gong , Zhixing Zou

The reduction of quantum scattering leads to the suppression of shot noise. In the present paper, we analyze the crossover from the quantum transport regime with universal shot noise, to the classical regime where noise vanishes. By making…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Eugene V. Sukhorukov , Oleg M. Bulashenko

We study an experimental setup in which a quantum probe, provided by a quasi-monomode guided atom laser, interacts with a static localized attractive potential whose characteristic parameters are tunable. In this system, classical mechanics…

We study the crossover between classical and quantum dynamics by observing the behavior of a quantum ratchet created by exposing a Bose-Einstein condensate to short pulses of a potential which is periodic in both space and time. Such a…

Quantum Physics · Physics 2013-06-05 R. K. Shrestha , W. K. Lam , J. Ni , G. S. Summy

We analyze the performance of quantum ratchets by considering the dynamics of an initially localized wave packet loaded into a flashing periodic potential. The directed center-of-mass motion can be initiated by the uniform modulation of the…

Quantum Gases · Physics 2011-10-12 Fei Zhan , S. Denisov , A. V. Ponomarev , P. Hänggi

We derive a prediction of dynamical tunneling rates from regular to chaotic phase-space regions combining the direct regular-to-chaotic tunneling mechanism in the quantum regime with an improved resonance-assisted tunneling theory in the…

Chaotic Dynamics · Physics 2010-03-18 Steffen Löck , Arnd Bäcker , Roland Ketzmerick , Peter Schlagheck

We study experimentally a quantum kicked rotor with broken parity symmetry, supporting a ratchet effect due to the presence of a classical accelerator mode. We show that the short-time dynamics is very well described by the classical…

Spectra of the geometric collective model of atomic nuclei are analyzed to identify chaotic correlations among nonrotational states. The model has been previously shown to exhibit a high degree of variability of regular and chaotic…

Quantum Physics · Physics 2009-06-16 Pavel Stransky , Petr Hruska , Pavel Cejnar

We present a minimal one-dimensional deterministic continuous dynamical system that exhibits chaotic behavior and complex transport properties. Our model is an overdamped rocking ratchet that is periodically kicked with a delta function…

Statistical Mechanics · Physics 2015-03-11 Daniel G. Zarlenga , Hilda A. Larrondo , Miguel Arizmendi , Fereydoon Family

Semi--classical dynamics of quantum wave packets spreading is studied for a kicked rotor. Quantum flights are established for a specific, "magic" value of a chaos control parameter when the classical stickiness of trajectories is most…

Chaotic Dynamics · Physics 2007-05-23 A. Iomin , G. M. Zaslavsky

This article examines the relationship between classical and quantum propagation of chaos. (In this context, "chaos" refers to the Boltzmann's Ansatz of molecular disorder, not to chaotic dynamics.) Classical propagation of chaos is shown…

Quantum Physics · Physics 2007-05-23 Alex D Gottlieb

We propose a matrix model which embodies the semiclassical approach to the problem of quantum transport in chaotic systems. Specifically, a matrix integral is presented whose perturbative expansion satisfies precisely the semiclassical…

Chaotic Dynamics · Physics 2013-12-04 Marcel Novaes