Impenetrability in Floquet scattering in one dimension

TL;DR

This paper investigates how time-periodic zero-range potentials in one dimension affect scattering, revealing that evanescent waves prevent fermionization despite zero-transmission conditions.

Contribution

It demonstrates how time-periodic potentials alter scattering behavior, preventing fermionization through evanescent wave formation unlike static potentials.

Findings

Zero-transmission probability (ZTP) regions identified.

Evanescent waves form in time-periodic potentials.

Fermionization is prevented by evanescent waves.

Abstract

We study the scattering off a time-periodic zero-range potential in one spatial dimension. We focus on the parameter regions that lead to zero-transmission probability (ZTP). For static potentials, ZTP leads to fermionization of distinguishable equal-mass particles. For time-periodic potentials, fermionization is prevented by the formation of evanescent waves.