Cloaking of Matter Waves

TL;DR

This paper proposes a method to cloak matter waves at specific energies by designing potential and effective mass profiles, confirmed through wave and classical analyses, with potential applications in cold atom systems.

Contribution

It introduces a novel invariant transformation approach for quantum systems to achieve matter wave cloaking, detailing conditions and feasibility for cold atom implementation.

Findings

Cloaking conditions are derived and validated for quantum and classical perspectives.

Potential for constructing matter wave cloaks using optical lattices for cold atoms.

Theoretical framework enables energy-specific cloaking of matter waves.

Abstract

Invariant transformation for quantum mechanical systems is proposed. A cloaking of matter wave can be realized at given energy by designing the potential and effective mass of the matter waves in the cloaking region. The general conditions required for such a cloaking are determined and confirmed by both the wave and particle (classical) approaches. We show that it may be possible to construct such a cloaking system for cold atoms using optical lattices.