Criticality-induced universality in ratchets

Chacón, Ricardo

doi:10.1088/1751-8113/43/32/322001

Cited by 24 publications

(61 citation statements)

References 23 publications

(50 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this work we study the DRT of nondissipative nontopological bright matter-wave solitons and provide additional confirmation of ratchet universality [15,16], that is, that the maximum strength of the directed soliton current is a consequence of the existence of a universal force waveform that optimally enhances DRT. Importantly, this was shown also to be the case for topological solitons in the context of superconducting Josephson arrays [7].…”

Section: Introductionmentioning

confidence: 69%

See 1 more Smart Citation

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

2011

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 69%

“…Here we demonstrate that the relative amplitudes and the phase differences together play an essential role in optimally controlling the strength and direction of the soliton current according to the degree of symmetry breaking (DSB) mechanism [15]. This mechanism has led to the unveiling of a criticality scenario for DRT.…”

Section: Introductionmentioning

confidence: 92%

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

2011

View full text Add to dashboard Cite

show abstract

“…It is worth mentioning that the relevance of the * jcuevas@us.es † rchacon@unex.es ‡ palmero@us.es excitation's impulse has been observed previously in quite different contexts, such as ratchet transport [10], adiabatically ac-driven periodic (Hamiltonian) systems [11], driven twolevel systems and periodically curved waveguide arrays [12], chaotic dynamics of a pump-modulation Nd:YVO 4 laser [13], topological amplification effects in scale-free networks of signaling devices [14], and controlling chaos in starlike networks of dissipative nonlinear oscillators [15].…”

Section: Introductionmentioning

confidence: 86%

Impulse-induced generation of stationary and moving discrete breathers in nonlinear oscillator networks

2016

View full text Add to dashboard Cite

We study discrete breathers in prototypical nonlinear oscillator networks subjected to nonharmonic zero-mean periodic excitations. We show how the generation of stationary and moving discrete breathers are optimally controlled by solely varying the impulse transmitted by the periodic excitations, while keeping constant the excitation's amplitude and period. Our theoretical and numerical results show that the enhancer effect of increasing values of the excitation's impulse, in the sense of facilitating the generation of stationary and moving breathers, is due to a correlative increase of the breather's action and energy.

show abstract

“…The mathematical proof of the ratchet conjecture was subsequently completed in Ref. [4] where such a universal waveform is shown to be unique for both temporal and spatial biharmonic forces. 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.…”

mentioning

confidence: 99%

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

Martínez

Chacón

2013

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

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

show abstract

Criticality-induced universality in ratchets

Cited by 24 publications

References 23 publications

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

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

Impulse-induced generation of stationary and moving discrete breathers in nonlinear oscillator networks

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

Contact Info

Product

Resources

About