Few-particle scattering from localized quantum systems in spatially structured bosonic baths

TL;DR

This paper develops an exact formalism linking few-particle scattering in localized quantum systems to solutions of inhomogeneous wave equations, enabling detailed analysis of scattering in structured bosonic environments.

Contribution

It introduces a novel formalism that connects quantum scattering matrices with wave-equation solutions, allowing for precise analysis of structured media effects on quantum scattering.

Findings

Provides exact relationships between scattering matrices and wave-equation solutions.

Enables analysis of spatial distribution of scattered wave packets.

Facilitates understanding of structured media impact on quantum systems.

Abstract

Understanding dynamics of localized quantum systems embedded in engineered bosonic environments is a central problem in quantum optics and open quantum system theory. We present a formalism for studying few-particle scattering from a localized quantum system interacting with an bosonic bath described by an inhomogeneous wave-equation. In particular, we provide exact relationships between the quantum scattering matrix of this interacting system and frequency domain solutions of the inhomogeneous wave-equation thus providing access to the spatial distribution of the scattered few-particle wave-packet. The formalism developed in this paper paves the way to computationally understanding the impact of structured media on the scattering properties of localized quantum systems embedded in them without simplifying assumptions on the physics of the structured media.