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We report an experimental investigation of momentum diffusion in the delta-function kicked rotor where time symmetry is broken by a two-period kicking cycle and spatial symmetry by an alternating linear potential. We exploit this, and a…

Quantum Physics · Physics 2009-11-10 P. H. Jones , M. Goonasekera , D. R. Meacher , T. Jonckheere , T. S. Monteiro

We propose a minimal model for the emergence of a directed flow in autonomous Hamiltonian systems. It is shown that internal breaking of the spatio-temporal symmetries, via localised initial conditions, that are unbiased with respect to the…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , C. Mulhern , A. H. Osbaldestin

We analyze the dynamics of a classical particle in a spatially periodic potential under the influence of a periodic in time uniform force. It was shown in [S.Flach, O.Yevtushenko, Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000)] that…

Chaotic Dynamics · Physics 2012-07-11 A. P. Itin , A. I. Neishtadt

We study the Hamiltonian dynamics of a one-dimensional chain of linearly coupled particles in a spatially periodic potential which is subjected to a time-periodic mono-frequency external field. The average over time and space of the related…

Statistical Mechanics · Physics 2009-11-13 Dirk Hennig

We consider the classical dynamics of a particle in a one-dimensional space-periodic potential U(X) = U(X+2\pi) under the influence of a time-periodic space-homogeneous external field E(t)=E(t+T). If E(t) is neither symmetric function of t…

chao-dyn · Physics 2009-10-31 S. Flach , O. Yevtushenko , Y. Zolotaryuk

Electronic ratchets transduce local spatial asymmetries into directed currents in the absence of a global drain bias, by rectifying temporal signals that reside far from thermal equilibrium. We show that the absence of a drain bias can…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Mehdi Kabir , Dincer Unluer , Lijun Li , Avik W. Ghosh , Mircea R. Stan

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

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

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

We investigate the ratchet current that appears in a kicked Hamiltonian system when the period of the kicks corresponds to the regime of quantum resonance. In the classical analogue, a spatial-temporal symmetry should be broken to obtain a…

Quantum Physics · Physics 2015-06-26 Dario Poletti , Gabriel G. Carlo , Baowen Li

We consider transport properties of a double delta-kicked system, in a regime where all the symmetries (spatial and temporal) that could prevent directed transport are removed. We analytically investigate the (non trivial) behavior of the…

Chaotic Dynamics · Physics 2009-11-13 Lucia Cavallasca , Roberto Artuso , Giulio Casati

The driving of charge carriers confined in a quantum well lacking the center of space inversion by an alternating electric field leads to the formation of a direct electric current. We develop a microscopic theory of such a quantum ratchet…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 G. V. Budkin , S. A. Tarasenko

Nonlinear tunneling current through a quantum dot (an Anderson impurity system) subject to both constant and alternating electric fields is studied in the Kondo regime. A systematic diagram technique is developed for perturbation study of…

Strongly Correlated Electrons · Physics 2016-08-31 Yehuda Goldin , Yshai Avishai

In generic Hamiltonian systems with a mixed phase space chaotic transport may be directed and ballistic rather than diffusive. We investigate one particular model showing this behaviour, namely a spatially periodic billiard chain in which…

Chaotic Dynamics · Physics 2009-11-11 Holger Schanz , Manamohan Prusty

We obtain stationary transport in a Hamiltonian system with ac driving in the presence of a dc bias. A particle in a periodic potential under the influence of a time-periodic field possesses a mixed phase space with regular and chaotic…

Statistical Mechanics · Physics 2007-05-23 S. Denisov , S. Flach , P. Hanggi

We investigate both the quantum and classical dynamics of a non-Hermitian system via a kicked rotor model with $\mathcal{PT}$ symmetry. For the quantum dynamics, both the mean momentum and mean square of momentum exhibits the staircase…

Quantum Physics · Physics 2020-12-30 Wen-Lei Zhao , Pengkai Gong , Jiaozi Wang , Qian Wang

We revisit the issue of directed motion induced by zero average forces in extended systems driven by ac forces. It has been shown recently that a directed energy current appears if the ac external force, $f(t)$, breaks the symmetry $f(t) =…

We present and compare different versions of a simple particle pump-model that describes average directed current of repulsively interacting particles in a narrow channel, due to time-varying local potentials. We analyze the model on…

Statistical Mechanics · Physics 2015-09-16 Debasish Chaudhuri

We rigorously prove the existence of directed transport for a certain class of ac-driven nonlinear one dimensional systems, namely the generation of transport with a preferred direction in the absence of a net driving force.

Mathematical Physics · Physics 2022-12-22 Paolo Buttà , Piero Negrini

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

Quantum resonance is one of the main characteristics of the quantum kicked rotor, which has been used to induce accelerated ratchet current of the particles with a generalized asymmetry potential. Here we show that by desynchronizing the…

Quantum Physics · Physics 2012-06-19 Chuan-Feng Li , Rong-Chun Ge , Guang-Can Guo