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Quantum ratchet accelerator without a bichromatic lattice potential

2008/06/24 by Jiao Wang, Jiangbin Gong · 3 citations
Physics and Astronomy · #Classical mechanics #Laser-Matter Interactions and Applications #Lattice (music) #Optical lattice #Physics #Quantum #Quantum chaos #Quantum dynamics #Quantum mechanics #Ratchet #Ratchet effect #Spectroscopy and Quantum Chemical Studies #Superfluidity #Work (physics) #cond-mat.other #nlin.CD #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.78.036219

published as Phys. Rev. E 78, 036219 (2008) · 9 pages, 6 figures, submitted to Phys. Rev. E

arxiv created 2008/06/24 · openalex publication_date 2008/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In a quantum ratchet accelerator system, a linearly increasing directed current can be dynamically generated without using a biased field. Generic quantum ratchet acceleration with full classical chaos [J. B. Gong and P. Brumer, Phys. Rev. Lett. 97, 240602 (2006)] constitutes a new element of quantum chaos and an interesting violation of a sum rule of classical ratchet transport. Here we propose a simple quantum ratchet accelerator model that can also generate linearly increasing quantum current with full classical chaos. This model does not require a bichromatic lattice potential. It is based on a variant of an on-resonance kicked-rotor system, periodically kicked by two optical lattice potentials of the same lattice constant, but with unequal amplitudes and a fixed phase shift between them. The dependence of the ratchet current acceleration rate on the system parameters is studied in detail. The cold-atom version of our quantum ratchet accelerator model should be realizable by introducing slight modifications to current cold-atom experiments.

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