Chaotic Hamiltonian ratchets for pulsed periodic double-well potentials: Classical correlations and the ratchet current
| Autor: | Thibaut Jonckheere, M. R. Isherwood, N. A. C. Hutchings, Tania S. Monteiro |
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| Přispěvatelé: | University College of London [London] (UCL), Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Departement of Phyiscs and Astronomy, University College London (TAMPA), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2 |
| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: |
Physics
dynamical localization chaotic dynamics Ratchet Chaotic cold atoms 01 natural sciences Quantum chaos 010305 fluids & plasmas Hamiltonian system Momentum diffusion Standing wave symbols.namesake quantum ratchet Classical mechanics [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] Quantum mechanics 0103 physical sciences [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] symbols 010306 general physics Hamiltonian (quantum mechanics) Quantum |
| Zdroj: | Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2004, 70, pp.036205. ⟨10.1103/PhysRevE.70.036205⟩ Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2004, 70, pp.036205. ⟨10.1103/PhysRevE.70.036205⟩ |
| ISSN: | 1539-3755 1550-2376 |
| Popis: | We present analytical derivations of the diffusion rates, ratchet currents, and time scales of a new ratchet in a fully chaotic Hamiltonian system, introduced in Phys. Rev. Lett. 89, 194102 (2002)] with a proposed implementation using atoms in pulsed standing waves of light. The origin of this type of ratchet current is in asymmetric momentum diffusion rates which result when a "double-well" lattice is pulsed with unequal "kick" periods. The form of the new short-time correlations which modify the diffusion rates are derived. The resulting formulas for the classical energy diffusion rates are shown to give good agreement with numerical simulations. A closed analytical formula for the ratchet current is also obtained, which predicts correctly the current magnitudes and current reversals. The characteristic "ratchet time," a classical time scale associated with the momentum-diffusion ratchet is derived analytically. The competition between the ratchet time t(r) , and the quantum break time t(*) is investigated further. |
| Databáze: | OpenAIRE |
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