Behavior of the current in the asymmetric quantum multibaker map

TL;DR

This paper investigates the quantum directed transport in the asymmetric multibaker map, analyzing how initial conditions, asymmetry, and spectral features influence the finite asymptotic current, with insights from classical and quantum phase space distributions.

Contribution

It provides a comprehensive characterization of the asymptotic current behavior in the asymmetric quantum multibaker map considering various parameters and initial conditions.

Findings

Finite asymptotic current depends on h value and initial conditions.

Classical and quantum phase space distributions reveal mechanisms behind directed current.

Different degrees of asymmetry significantly influence transport behavior.

Abstract

Recently, a new mechanism leading to purely quantum directed transport in the asymmetric multibaker map has been presented. Here, we show a comprehensive characterization of the finite asymptotic current behavior with respect to the $h$ value, the shape of the initial conditions, and the features of the spectrum. We have considered different degrees of asymmetry in these studies and we have also analyzed the classical and quantum phase space distributions for short times in order to understand the mechanisms behind the generation of the directed current.