Invisibility of quantum systems to tunneling of matter waves

TL;DR

This paper demonstrates how to design one-dimensional quantum systems that are effectively invisible to tunneling particles, allowing for unity transmission at most energies and mimicking free particle behavior.

Contribution

It introduces a method to configure potential parameters for achieving near-perfect transmission and invisibility in quantum tunneling systems.

Findings

Achieves unity transmission at all incident energies except very low ones.

Dwell time and transmission amplitude match those of free particles in the invisibility regime.

Potential design enables quantum systems to be 'invisible' to tunneling waves.

Abstract

We show that an appropriate choice of the potential parameters in one-dimensional quantum systems allows for unity transmission of the tunneling particle at all incident tunneling energies, except at controllable exceedingly small incident energies. The corresponding dwell time and the transmission amplitude are indistinguishable from those of a free particle in the unity-transmission regime. This implies the possibility of designing quantum systems that are invisible to tunneling by a passing wave packet.