Resonant ratcheting of a Bose–Einstein condensate

Morales-Molina, Luis; Flach, Sergej

doi:10.1088/1367-2630/10/1/013008

Cited by 32 publications

(22 citation statements)

References 36 publications

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“…Also, resonant ratcheting of a BEC due to the action of an external ac biharmonic driving was studied in Ref. [12], while the DRT of atoms in BECs subjected to spatiotemporal potentials, biharmonic in both space and time, was recently considered in Refs. [13] and [14].…”

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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“…That is, since R changes slowly, the offdiagonal elements of Γ and M will all change slowly, and hence the equation of motion for δq, or for the deviation δq − δq , is expected to adiabatically follow the solution given in Eq. (11). This is interesting because it suggests a theory of higher-order fluctuations in the intrinsic fluctuations.…”

Section: Appendixmentioning

confidence: 92%

Intrinsic Dynamical Fluctuation Assisted Symmetry Breaking in Adiabatic Following

Zhang

Gong

2013

Phys. Rev. Lett.

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Classical adiabatic invariants in actual adiabatic processes possess intrinsic dynamical fluctuations. The magnitude of such intrinsic fluctuations is often thought to be negligible. This widely believed physical picture is contested here. For adiabatic following of a moving stable fixed-point solution facing a pitchfork bifurcation, we show that intrinsic dynamical fluctuations in an adiabatic process can assist in a deterministic selection between two symmetry-connected fixed-point solutions, with the outcome independent of the duration of the adiabatic process. Using a classical model Hamiltonian also relevant to a two-mode quantum system, we further demonstrate the formation of an adiabatic hysteresis loop in purely Hamiltonian mechanics and the generation of a Berry phase via changing one single-valued parameter only.

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“…Relatively recently ratchet dynamics has been shown to exist for quasiparticles, such as solitons and large polarons [6][7][8][9][20][21][22][23]. In particular, it has been demonstrated that directed transport of bright solitons formed in a quasi-one-dimensional nondissipative Bose-Einstein condensate can be induced by a weak spatiotemporal biharmonic optical lattice potential [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Thermal enhancement and stochastic resonance of polaron ratchets

et al. 2014

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. (2014) 'Thermal enhancement and stochastic resonance of polaron ratchet.', Physical review E., 89 (6). 062905.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevE.89.062905Publisher's copyright statement:Reprinted with permission from the American Physical Society: L. S. Brizhik, A. A. Eremko, B. M. A. G. Piette, and W. J. Zakrzewski, Physical Review E, 89, 062905, 2014. c 2014 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We study the ratchet drift of large polarons (solitons) in molecular diatomic chains induced by unbiased time periodic electric fields at nonzero temperature below its critical value. We show that, at a nonzero temperature, the critical value of the intensity of the electric field above which the ratchet phenomenon takes place is lower than at zero temperature for the same frequency of the field. We show that there is a range of temperatures for which the polaron drift is larger than that at zero temperature. We also show that temperature decreases the value of the lowest critical period of the field. And, finally, we demonstrate that there is a stochastic resonance in a polaron ratchet, namely that there is an optimal temperature at which the polaron drift is a maximum. The values of the stochastic resonance temperature, the lowest critical values of the field intensity, and its period depend on various parameters of the system and, in particular, on the anisotropy of the chain parameters. This temperature induced decrease of the critical value of the field intensity and its period, as well as the stochastic resonance itself, may be important for practical applications of the ratchet phenomenon in systems involving conducting polymers and other low-dimensional materials. They may also be important in some biological macromolecules where the ratchet phenomenon could take place in biomotors and energy and/or charge transport.

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Resonant ratcheting of a Bose–Einstein condensate

Cited by 32 publications

References 36 publications

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

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

Intrinsic Dynamical Fluctuation Assisted Symmetry Breaking in Adiabatic Following

Thermal enhancement and stochastic resonance of polaron ratchets

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