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The quantum ratchet effect in fully chaotic systems is approached by studying, for the first time, \emph{statistical} properties of the ratchet current over well-defined sets of initial states. Natural initial states in a semiclassical…

Chaotic Dynamics · Physics 2010-03-16 Itzhack Dana

We investigate the directed momentum current in the quantum kicked rotor model with $\mathcal{PT}$ symmetric deriving potential. For the quantum non-resonance case, the values of quasi-energy become to be complex when the strength of…

Quantum Physics · Physics 2019-06-06 Wen-Lei Zhao , Jiaozi Wang , Xiaohui Wang , Peiqing Tong

By studying a modified (unbiased) quantum multibaker map, we were able to obtain a {\em finite} asymptotic quantum current without a classical analogue. This result suggests a general method for the design of {\em purely} quantum ratchets,…

Quantum Physics · Physics 2009-11-13 Leonardo Ermann , Gabriel G. Carlo , Marcos Saraceno

We present a very simple model for realizing directed transport with cold atoms in a pair of periodically flashed optical lattices. The origin of this ratchet effect is explained and its robustness demonstrated under imperfections typical…

Using a new type of chaotic ratchet generated by pulsed standing waves of light, we propose a mechanism which would allow packets of atoms travelling through a pulsed optical lattice in one direction to pass almost undisturbed, while…

Atomic Physics · Physics 2007-05-23 M. R. Isherwood , T. S. Monteiro

We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing the ratchet…

Pattern Formation and Solitons · Physics 2025-11-11 Niurka R. Quintero , Renato Alvarez-Nodarse , José A. Cuesta

One major objective of controlling classical chaotic dynamical systems is exploiting the system's extreme sensitivity to initial conditions in order to arrive at a predetermined target state. In a recent letter [Phys.~Rev.~Lett. 130, 020201…

Quantum Physics · Physics 2023-09-06 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

We demonstrate that the tunnel oscillations of a biased double quantum dot can be employed as driving source for a quantum ratchet. As a model, we use two capacitively coupled double quantum dots. One double dot is voltage biased and…

Mesoscale and Nanoscale Physics · Physics 2010-08-09 Michael Stark , Sigmund Kohler

A quantum random walk model is established on a one-dimensional periodic lattice that fluctuates between two possible states. This model is defined by Lindblad rate equations that incorporate the transition rates between the two lattice…

Quantum Physics · Physics 2024-05-28 Luis Octavio Castaños-Cervantes , Jesús Casado-Pascual

We experimentally investigate the phenomenon 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 ratchet is manifested by a directed current of…

Quantum Physics · Physics 2013-05-23 R. K. Shrestha , J. Ni , W. K. Lam , S. Wimberger , G. S. Summy

Radiation-induced ratchet electric currents have been studied theoretically in graphene with a periodic noncentrosymmetric lateral potential. The ratchet current generated under normal incidence is shown to consist of two contributions, one…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 A. V. Nalitov , L. E. Golub , E. L. Ivchenko

We present a perturbative study of the response of cold atoms in an optical lattice to a weak time- and space-asymmetric periodic driving signal. In the noninteracting limit, and for a finite set of resonant frequencies, we show how a…

Quantum Gases · Physics 2015-05-18 Martin Heimsoth , Charles E. Creffield , Fernando Sols

The currents generated by noise-induced activation processes in a periodic potential are investigated analytically, by digital simulation and by performing analogue experiments.

Statistical Mechanics · Physics 2009-10-31 M. Arrayas , R. Mannella , P. V. E. McClintock , A. J. McKane , N. D. Stein

We demonstrate that the combined effect of a spatially periodic potential, lateral confinement and spin-orbit interaction gives rise to a quantum ratchet mechanism for spin-polarized currents in two-dimensional coherent conductors. Upon…

Mesoscale and Nanoscale Physics · Physics 2007-11-07 Matthias Scheid , Andreas Pfund , Dario Bercioux , Klaus Richter

We describe how adiabatically rocked quantum electron ratchets can act as heat pumps. In general, ratchets may be described as non-equilibrium systems in which directed particle motion is generated using spatial or temporal asymmetry. In a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. E. Humphrey , H. Linke , R. Newbury

We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchets in the sense that ensembles of particles can show directed…

Chaotic Dynamics · Physics 2007-05-23 Holger Schanz , Thomas Dittrich , Roland Ketzmerick

We study the quantum version of a tilting and flashing Hamiltonian ratchets, consisting of a periodic potential and a time-periodic driving field. The system dynamics is governed by a Floquet evolution matrix bearing the symmetry of the…

Quantum Physics · Physics 2009-11-13 S. Denisov , L. Morales-Molina , S. Flach , P. Hanggi

The concept of thermal ratchets is extended to the system governed by quantum mechanics. We study a tight-binding model with an asymmetric periodic potential contacting with a heat bath under an external oscillating field as a specific…

Statistical Mechanics · Physics 2009-10-30 Satoshi Yukawa , Macoto Kikuchi , Gen Tatara , Hiroshi Matsukawa

Brownian motors, or ratchets, are devices which "rectify" Brownian motion, i.e. they can generate a current of particles out of unbiased fluctuations. The ratchet effect is a very general phenomenon which applies to a wide range of physical…

Statistical Mechanics · Physics 2011-12-06 F. Renzoni

Ratchets are dynamic systems where particle transport is induced by zero-average forces due to the interplay between nonlinearity and asymmetry. Generally, they rely on the effect of a strong external driving. We show that stationary…

Other Condensed Matter · Physics 2009-10-16 I. Zapata , S. Albaladejo , J. M. R. Parrondo , J. J. Sáenz , F. Sols