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

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 describe...

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Main Authors: Rahul Trivedi, Kevin Fischer, Shanhui Fan, Jelena Vuckovic
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2022-04-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2022-04-15-691/pdf/
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author Rahul Trivedi
Kevin Fischer
Shanhui Fan
Jelena Vuckovic
author_facet Rahul Trivedi
Kevin Fischer
Shanhui Fan
Jelena Vuckovic
author_sort Rahul Trivedi
collection DOAJ
description 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.
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spelling doaj.art-7288be6b6b334046981924ccbd94e9772022-12-22T00:10:32ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-04-01669110.22331/q-2022-04-15-69110.22331/q-2022-04-15-691Few-particle scattering from localized quantum systems in spatially structured bosonic bathsRahul TrivediKevin FischerShanhui FanJelena VuckovicUnderstanding 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.https://quantum-journal.org/papers/q-2022-04-15-691/pdf/
spellingShingle Rahul Trivedi
Kevin Fischer
Shanhui Fan
Jelena Vuckovic
Few-particle scattering from localized quantum systems in spatially structured bosonic baths
Quantum
title Few-particle scattering from localized quantum systems in spatially structured bosonic baths
title_full Few-particle scattering from localized quantum systems in spatially structured bosonic baths
title_fullStr Few-particle scattering from localized quantum systems in spatially structured bosonic baths
title_full_unstemmed Few-particle scattering from localized quantum systems in spatially structured bosonic baths
title_short Few-particle scattering from localized quantum systems in spatially structured bosonic baths
title_sort few particle scattering from localized quantum systems in spatially structured bosonic baths
url https://quantum-journal.org/papers/q-2022-04-15-691/pdf/
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AT kevinfischer fewparticlescatteringfromlocalizedquantumsystemsinspatiallystructuredbosonicbaths
AT shanhuifan fewparticlescatteringfromlocalizedquantumsystemsinspatiallystructuredbosonicbaths
AT jelenavuckovic fewparticlescatteringfromlocalizedquantumsystemsinspatiallystructuredbosonicbaths