1201.6232 (Gabriel G. Carlo)

Quantum Isoperiodic Stable Structures and Directed Transport    [PDF]

Gabriel G. Carlo

It has been recently found that the so called isoperiodic stable structures
(ISSs) have a fundamental role in the classical current behavior of dissipative
ratchets [Phys. Rev. Lett. {\bf 106}, 234101 (2011)]. Here I analyze their
quantum counterparts, the quantum ISSs (QISSs), which have a fundamental role
in the quantum current behavior. QISSs have the simple attractor shape of those
ISSs which settle down in short times. However, in the majority of the cases
they are strongly different from the ISSs, looking approximately the same as
the quantum chaotic attractors that are at their vicinity in parameter space.
By adding thermal fluctuations of the size of $\hbar_{\rm eff}$ to the ISSs I
am able to obtain very good approximations to the QISSs. I conjecture that in
general, quantum chaotic attractors could be well approximated by means of just
the classical information of a neighboring ISS plus thermal fluctuations. I
expect to find this behavior in quantum dissipative systems in general.

View original: http://arxiv.org/abs/1201.6232