An underdamped quantum ratchet

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Published 2 March 2007 IOP Publishing Ltd
, , Citation Pulak Kumar Ghosh and Deb Shankar Ray J. Stat. Mech. (2007) P03003 DOI 10.1088/1742-5468/2007/03/P03003

1742-5468/2007/03/P03003

Abstract

We consider the underdamped Brownian dynamics of particles in a symmetric periodic potential by taking into account systematic quantum corrections order by order and show that a very slow asymmetric and periodic modulation with zero temporal average can induce directed quantum transport in the limit , where ωs, γ and τ are the system frequency, the dissipation constant and the time period of the modulation, respectively.

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10.1088/1742-5468/2007/03/P03003