Frequency-modulated ratchet with autoresonance

Макаров, Денис В.; Соседко, Е. В.; Uleysky, M. Yu.

doi:10.1140/epjb/e2010-00041-6

Cited by 12 publications

(8 citation statements)

References 54 publications

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“…With proper choice of the phase shift between the modulating signals, the driving force becomes a running plane wave experiencing time and space fluctuations. This kind of ratchets is known as travelling potential ratchets and considered in [40,41,42,43,44,45]. They can be used as quantum simulators of electron-phonon interactions in semiconducting materials [46,47,48,49].…”

Section: Introductionmentioning

confidence: 99%

Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal

Макаров

Kon’kov

2014

Eur. Phys. J. B

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We study motion of a quantum wavepacket in a one-dimensional potential with correlated disorder. Presence of long-range potential correlations allows for existence of both localized and extended states. Weak time-dependent perturbation in the form of a fluctuating plane wave is superimposed onto the potential. This model can be realized in experiments with optically trapped cold atoms. Time-dependent perturbation causes transitions between localized and extended states. Owing to violation of space-time symmetries, there arises atomic current which is codirectional with the wave-like perturbation. However, it is shown that the perturbation can drag atoms only within some limited time interval, and then the current changes its direction. Increasing of the perturbation bandwidth and/or amplitude results in decreasing of the time of current reversal. We argue that onset of the current reversal is associated with inhomogeneity of diffusion in the momentum space.

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Section: Introductionmentioning

confidence: 99%

Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal

Макаров

Kon’kov

2014

Eur. Phys. J. B

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“…Time-dependent perturbation V(x, t) leads to the nonintegrability of equations (16) and onset of chaos. For Γ = 0 and ε ≪ 1, chaotic motion occurs only inside a relatively small near-separatrix layer acting as a "bridge" between the domains of finite and ballistic motion.…”

Section: Classical Dynamicsmentioning

confidence: 99%

“…2. This asymmetry expects emergence of the nonzero ballistic flux [13,14,15,16] whose direction is determined by s. However, there is a large layer of regular motion in classical phase space, acting as a dynamical barrier for the atoms localized near the potential minima and preventing their transition into the ballistic regime. Consequently, atoms with minimal initial energies can produce directed current only due to tunneling which is almost negligible in deep optical lattices.…”

Section: Classical Dynamicsmentioning

confidence: 99%

Quantum ratchet driven by broadband perturbation

Макаров

Kon’kov

2013

Physics Letters A

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Motion of an atomic ensemble trapped into a deep optical lattice is considered. We propose a novel approach to construct an atomic ratchet by superimposing two additional lattices whose amplitudes are small and subjected to broadband modulation. The broadband modulation is modeled by means of harmonic noise. Directed atomic transport occurs with the properly chosen phase shift between the signals modulating the amplitudes of the additional lattices. It is shown that efficiency of the ratchet depends non-monotonously on the parameter determining the spectral width of modulating signals.Comment: 5 pages, 5 figure

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“…On the classical level, such a perturbation can cause adiabatic transformation of the phase portrait, thereby driving atoms to the target state. A similar approach had been already used for producing Hamiltonian ratchets [12,13,14], as well as for cooling and partial localization of the particle ensemble in the vicinity of the minima of the potential [15]. In the present work we exploit almost the same idea for controlling quantum transport of atomic wavepackets in an optical lattice.…”

Section: Introductionmentioning

confidence: 99%

Control of Atomic Transport Using Autoresonance

Макаров¹,

Uleysky²,

Prants³

2012

Chaos, Complexity and Transport

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Dynamics of an atomic wavepacket in an optical superlattice is considered. We propose a simple scheme of wavepacket localization near the minima of the optical potential. In our approach, a wavelike perturbation caused by an additional lattice induces classical resonance which traps an atomic cloud. Adiabatic phase modulation of the perturbation slowly shifts resonance zone in phase space to the range of lower energies, retaining trapped atoms inside. This phenomenon is a kind of autoresonance. Quantum computations agree well with classical modelling.

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Frequency-modulated ratchet with autoresonance

Cited by 12 publications

References 54 publications

Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal

Quantum transport in a driven disordered potential: onset of directed current and noise-induced current reversal

Quantum ratchet driven by broadband perturbation

Control of Atomic Transport Using Autoresonance

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