Disorder Induced Control of Discrete Soliton Ratchets

Martínez, Pedro J.; Chacón, Ricardo

doi:10.1103/physrevlett.100.144101

Cited by 35 publications

(37 citation statements)

References 21 publications

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“…Directed ratchet transport (DRT) is today understood to be a result of the interplay of nonlinearity, symmetry breaking [5], and nonequilibrium fluctuations, in which these fluctuations include temporal noise [2], spatial disorder [6], and quenched temporal disorder [7]. While particle ratchets have been extensively considered in different physical contexts, such as Josephson junctions [8] and particle separation devices [9], the study of the directed transport of particle-like excitations, the so-called soliton ratchets, is a relatively recent subfield.…”

Section: Introductionmentioning

confidence: 99%

Controlling directed transport of matter-wave solitons using the ratchet effect

2011

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We demonstrate that directed transport of bright solitons formed in a quasi-one-dimensional Bose-Einstein condensate can be reliably controlled by tailoring a weak optical lattice potential, biharmonic in both space and time, in accordance with the degree of symmetry breaking mechanism. By considering the regime where matter-wave solitons are narrow compared to the lattice period, (i) we propose an analytical estimate for the dependence of the directed soliton current on the biharmonic potential parameters that is in good agreement with numerical experiments, and (ii) we show that the dependence of the directed soliton current on the number of atoms is a consequence of the ratchet universality.

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Section: Introductionmentioning

confidence: 99%

Controlling directed transport of matter-wave solitons using the ratchet effect

2011

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“…The rectifying power of such a demon is far from optimal; lacking the dexterity of Maxwell's "gate keeper" ͑Leff and Rex, 2003;Maruyama et al, 2008͒ it works only on average like an automaton.…”

Section: B Noise Recyclingmentioning

confidence: 99%

“…We point out to the reader the following cautions: ͑i͒ Strict periodicity is not a requirement for the operation of a Brownian motor. The ratchet system may contain small amounts of disorder ͑Harms and Lipowsky, 1997;Popescu et al, 2000;Kafri and Nelson, 2005;Martinez and Chacon, 2008͒ or even be nonperiodic ͑Marchesoni, 1997͒. ͑ii͒ Spatial asymmetry can also result as a collective effect, for instance, in extended systems consisting of interacting, symmetric dynamical components, introduced in Sec.…”

Section: Brownian Motorsmentioning

confidence: 99%

Artificial Brownian motors: Controlling transport on the nanoscale

2009

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In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with unbiased external input signals, deterministic and random alike, can assist directed motion of particles at submicron scales. In such cases, one speaks of "Brownian motors." In this review the constructive role of Brownian motion is exemplified for various physical and technological setups, which are inspired by the cellular molecular machinery: the working principles and characteristics of stylized devices are discussed to show how fluctuations, either thermal or extrinsic, can be used to control diffusive particle transport. Recent experimental demonstrations of this concept are surveyed with particular attention to transport in artificial, i.e., nonbiological, nanopores, lithographic tracks, and optical traps, where single-particle currents were first measured. Much emphasis is given to two-and three-dimensional devices containing many interacting particles of one or more species; for this class of artificial motors, noise rectification results also from the interplay of particle Brownian motion and geometric constraints. Recently, selective control and optimization of the transport of interacting colloidal particles and magnetic vortices have been successfully achieved, thus leading to the new generation of microfluidic and superconducting devices presented here. The field has recently been enriched with impressive experimental achievements in building artificial Brownian motor devices that even operate within the quantum domain by harvesting quantum Brownian motion. Sundry akin topics include activities aimed at noise-assisted shuttling other degrees of freedom such as charge, spin, or even heat and the assembly of chemical synthetic molecular motors. This review ends with a perspective for future pathways and potential new applications.

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“…This universal waveform is a direct consequence of the degree of symmetry breaking (DSB) mechanism: It is possible to consider a quantitative measure of the DSB on which the strength of directed transport by symmetry breaking must depend. Such a theory of the ratchet universality has been applied to predict successfully the behavior of two kinds of soliton ratchets [5,6]. The theory demonstrated in our original article [2] uses, among other theoretical ideas, ratchet universality to explain the interplay between thermal noise and symmetry breaking in the ratchet transport of Eq.…”

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confidence: 99%

Reply to “Comment on ‘Ratchet universality in the presence of thermal noise’ ”

Martínez

Chacón

2013

Phys. Rev. E

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The Comment by Quintero et al. does not dispute the central result of our paper [Phys. Rev. E 87, 062114 (2013)] which is a theory explaining the interplay between thermal noise and symmetry breaking in the ratchet transport of a Brownian particle moving on a periodic substrate subjected to a temporal biharmonic excitation γ [η sin (ωt) + α (1 − η) sin (2ωt + ϕ)]. In the Comment, the authors claim, on the sole basis of their numerical simulations for the particular case α = 2, that "there is no such universal force waveform and that the evidence obtained by the authors otherwise is due to their particular choice of parameters." Here we demonstrate by means of theoretical arguments and additional numerical simulations that all the conclusions of our original article are preserved. The foregoing Comment by Quintero et al.[1] offers some criticisms on certain particular (numerical) aspects of our previous paper [2], in which we studied theoretically and numerically a universal model -a Brownian particle moving on a periodic substrate subjected to a biharmonic excitation,where γ is an amplitude factor, and the parameters (η ∈ [0, 1] , α > 0) and ϕ account for the relative amplitude and initial phase difference of the two harmonics, respectively, while ξ (t) is a Gaussian white noise with zero mean and ξ (t) ξ (t + s) = δ (s), and σ = 2k b T with k b

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Disorder Induced Control of Discrete Soliton Ratchets

Cited by 35 publications

References 21 publications

Controlling directed transport of matter-wave solitons using the ratchet effect

Controlling directed transport of matter-wave solitons using the ratchet effect

Artificial Brownian motors: Controlling transport on the nanoscale

Reply to “Comment on ‘Ratchet universality in the presence of thermal noise’ ”

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