Correspondence behavior of classical and quantum dissipative directed transport via thermal noise

• Main Authors: Carlo, Gabriel G, Ermann, Leonardo, Rivas, Alejandro M. F, Spina, María E
• Format: Journal Article
• Language: English
• Published: 11-02-2016
• Subjects: Physics - Quantum Physics
• DOI: 10.48550/arxiv.1602.03907

Phys. Rev. E 93, 042133 (2016) We systematically study several classical-quantum correspondence properties
of the dissipative modified kicked rotator, a paradigmatic ratchet model. We
explore the behavior of the asymptotic currents for finite $\hbar_{\rm eff}$
values in a wide range of the parameter space. We find that the correspondence
between the classical currents with thermal noise providing uctuations of size
$\hbar_{\rm eff}$ and the quantum ones without it, is very good in general with
the exception of specific regions. We systematically consider the spectra of
the corresponding classical Perron-Frobenius operators and quantum
superoperators. By means of an average distance between the classical and
quantum sets of eigenvalues we find that the correspondence is unexpectedly
quite uniform. This apparent contradiction is solved with the help of the
Weyl-Wigner distributions of the equilibrium eigenvectors, which reveal the key
role of quantum effects by showing surviving coherences in the asymptotic
states.