Stabilization of ratchet dynamics by weak periodic signals

Barbi, Maria; Salerno, Mario

doi:10.1103/physreve.63.066212

Cited by 34 publications

(16 citation statements)

References 24 publications

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“…However, the effect of the presence of a weak subharmonic component in the ac drive field on the phase locked dynamics of a ratchet is to suppress chaos and stabilize regular orbits over large range of driving amplitudes [37].…”

Section: Introductionmentioning

confidence: 99%

Deterministic inhomogeneous inertia ratchets

Saikia

Mahato

2010

Physica A: Statistical Mechanics and its Applications

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We study the deterministic dynamics of a periodically driven particle in the underdamped case in a spatially symmetric periodic potential. The system is subjected to a space-dependent friction coefficient, which is similarly periodic as the potential but with a phase difference. We observe that frictional inhomogeneity in a symmetric periodic potential mimics most of the qualitative features of deterministic dynamics in a homogeneous system with an asymmetric periodic potential. We point out the need of averaging over the initial phase of the external drive at small frictional inhomogeneity parameter values or analogously low potential asymmetry regimes in obtaining ratchet current. We also show that at low amplitudes of the drive, where ratchet current is not possible in the deterministic case, noise plays a significant role in realizing ratchet current.

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Section: Introductionmentioning

confidence: 99%

Deterministic inhomogeneous inertia ratchets

Saikia

Mahato

2010

Physica A: Statistical Mechanics and its Applications

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“…With respect to the x-direction, chaos does play a dominant role in the deterministic transport properties [19,[27][28][29][30]. For e 2 = 0 and any value of the phase one could in principle observe a ratchet e ect in x, due to the breaking of the temporal symmetry f x (t + T=2) = −f x (t) [41].…”

Section: Onset Of Directed Transport Under Crossed ÿEldsmentioning

confidence: 99%

“…2a for 0:16 6 e 1 6 0:18. An increase of the amplitude e 2 leads to stabilization of speciÿc periodic attractors [19,30]. Here we seek di erent stabilization mechanisms, while trying to control the transport for moderate ÿeld strengths below the threshold f 2 y , a goal that is not possible within overdamped systems.…”

Section: Onset Of Directed Transport Under Crossed ÿEldsmentioning

confidence: 99%

Controlling directed transport in two-dimensional periodic structures under crossed electric fields

Sengupta

Guantes

Miret‐Artés

et al. 2004

Physica A: Statistical Mechanics and its Applications

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We investigate di erent mechanisms for the control of directed transport of particles on twodimensional periodic and symmetric substrates, based on the application of a crossed static and a bi-harmonic (harmonic mixing) ÿeld. We focus on inertial systems in the low friction regime, using a prototypical model for atom-surface di usion, and demonstrate that a proper control of current reversals can be achieved at moderate ÿeld strengths by tuning either the static ÿeld or changing the relative phase of the harmonic mixing signal, respectively.

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“…It is well known that an overdamped particle driven by two harmonic ac signals through the substrate can drift in any desirable direction if frequencies of the two drives are commensurate. This effect known as harmonic mixing [14][15][16][17][18][19][20][21][22] has been already observed in many systems, including pseudorelativistic electrons in graphene, vortices in superconductors [23], nanoparticles driven through a pore [24], current-driven Josephson junctions [25], etc. This suggests an idea that a coupled two-qubit system also should exhibit a harmonic mixing behavior, but in contrast to the usual classical harmonic mixing for overdamped particles, quantum harmonic mixing should be via parametric coupling of two drives in the quantum master equation.…”

Section: Introductionmentioning

confidence: 99%

Harmonic mixing in two coupled qubits: Quantum synchronization via ac drives

et al. 2012

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Simulating a system of two driven coupled qubits, we show that the time-averaged probability to find one driven qubit in its ground or excited state can be controlled by an ac drive in the second qubit. Moreover, off-diagonal elements of the density matrix responsible for quantum coherence can also be controlled via driving the second qubit, i.e., quantum coherence can be enhanced by appropriate choice of the bi-harmonic signal. Such a dynamic synchronization of two differently driven qubits has an analogy with harmonic mixing of Brownian particles forced by two signals through a substrate. Nevertheless, the quantum synchronization in two qubits occurs due to multiplicative coupling of signals in the qubits rather than via a nonlinear harmonic mixing for a classical nano-particle.

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Stabilization of ratchet dynamics by weak periodic signals

Cited by 34 publications

References 24 publications

Deterministic inhomogeneous inertia ratchets

Deterministic inhomogeneous inertia ratchets

Controlling directed transport in two-dimensional periodic structures under crossed electric fields

Harmonic mixing in two coupled qubits: Quantum synchronization via ac drives

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