Giant acceleration in slow-fast space-periodic Hamiltonian systems

Макаров, Денис В.; Uleysky, M. Yu.

doi:10.1103/physreve.75.065201

Cited by 11 publications

(11 citation statements)

References 21 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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“…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. In this case, the perturbation is a plane wave of the form (14), and the equations of motion read One can easily ensure that both the shift symmetry…”

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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“…Вдали от верти-кальных резонансов движение лучей может быть сведено к интегрируемому с помощью метода усреднения [17]. Теория вертикального резонанса и его аналогов была развита в работах [16,[18][19][20][21][22][23]. Крат-ко рассмотрим его свойства.…”

Section: вертикальный резонансunclassified

Chaotic Diffusion at Sound Propagation in a Range-Dependent Underwater Sound Channel

Макаров¹,

Kon’kov²

2007

Nelin. Dinam.

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Получено 12 июля 2007 г.Задача о распространении звука в пространственно-неоднородном подводном звуковом канале рассмотрена с точки зрения проблемы лучевого-волнового соответствия. Мелкомасштабные вертикальные осцилляции неоднород-ности звукового канала действуют на приосевые лучи резонансным образом. Рассеяние лучей на резонансе приводит к образованию обширного хаотического слоя с быстрым перемешиванием в фазовом пространстве. Распределение Ху-зими использовано для исследования динамики волновых пакетов, принадлежащих хаотическому слою. При высоких частотах звукового сигнала волновой пакет быстро расплывается с ростом дистанции от источника. С уменьшением частоты звукового сигнала происходит подавление резонанса, вызванного вертикальными осцилляциями неоднород-ности, волновой пакет перестает расплываться и его ширина по действию начинает нерегулярно осциллировать. При частоте 50 Гц эти осцилляции становятся регулярными, что указывает на подавление хаотической диффузии.Ключевые слова: лучевой хаос, волновой хаос, акустика океана, нелинейный резонанс, волновое-лучевое соответствие. D. V. Makarov, L. E. Kon'kov Chaotic Diffusion at Sound Propagation in a Range-Dependent Underwater Sound ChannelProblem of sound propagation in a range-dependent underwater sound channel is studied in the scope of the problem of the ray-wave correspondence. Small-scale vertical oscillations of a sound channel inhomogeneity act on near-axial rays in a resonant way. Scattering of rays on resonance leads to forming of a wide chaotic layer with fast mixing in the underlying phase space. The Husimi distribution function is used for examining of dynamics of wavepackets belonging to the chaotic layer. At high frequencies of a signal, a wavepacket diverges rapidly with range. Decreasing of frequency leads to suppressing of resonance induced by vertical oscillations of an inhomogeneity, wavepacket stops diverging and its width in the action space starts to oscillate irregularly. At the frequency of 50 Hz these oscillations are regular, that indicates suppression of chaotic diffusion.

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Giant acceleration in slow-fast space-periodic Hamiltonian systems

Cited by 11 publications

References 21 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

Chaotic Diffusion at Sound Propagation in a Range-Dependent Underwater Sound Channel

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