Ramsauer effect in one-dimensional quantum walk with multiple defects

TL;DR

This paper analytically investigates a one-dimensional quantum walk with multiple defects, revealing conditions for zero reflectance, an analogy to the Ramsauer effect, and methods to prepare bound states, with potential applications in optics.

Contribution

It provides the first analytical solutions for quantum walks with multiple defects and predicts a Ramsauer-like effect in such systems.

Findings

Derived conditions for zero reflectance in quantum walks with multiple defects.

Predicted an analogy to the Ramsauer effect in quantum walk systems.

Proposed a method to transition from zero reflectance to bound states.

Abstract

Experimental observations of quantum walks in one dimension have provided many exciting applications in quantum computing, while recent theoretical investigation of single phase defect in these system points towards interesting phenomena associated with bounds states. Here we obtain analytical solutions of quantum walk with a general quantum coin in one dimension with multiple defects, with new prediction on the condition for zero reflectance for scattering state, and the existence of an analogy to the Ramsauer effect for multiple defects. We also show the transition from the zero reflectance state to the bound state can provide a method for preparing the quantum walk in a bound state. Applications to systems similar to thin film optics are suggested.