Abstract
A generic kind of quantum chaotic ratchet is introduced, based on initial states that are uniform
in phase space with the maximal possible resolution of one Planck cell. Unlike a classical phasespace
uniform density, such a state usually carries a nonzero ratchet current, even in symmetric
systems. This quantum ratchet effect basically emerges from the generic asymmetry of the state
quasicoordinates in the Planck cell. It is shown, on the basis of exact results, general arguments,
and extensive numerical evidence, that in a semiclassical full-chaos regime the variance of the
current over all the states is nearly proportional to the chaotic-diffusion rate and to the square of
the scaled Planck constant. Experimental realizations are suggested.
| Original language | American English |
|---|---|
| Journal | Physics Archive |
| State | Published - 2008 |