Preprint PUBDB-2024-00716

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Hermitian stochastic methodology for x-ray superfluorescence

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2024

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Report No.: arXiv:2402.04069

Abstract: A recently introduced theoretical framework for modeling the dynamics of x-ray amplified spontaneous emission is based on stochastic sampling of the density matrix of quantum emitters and the radiation field, similarly to other phase-space sampling techniques. While based on first principles and providing valuable theoretical insights, the original stochastic differential equations exhibit divergences and numerical instabilities. Here, we resolve this issue by accounting the stochastic components perturbatively. The refined formalism accurately reproduces the properties of spontaneous emission and proves universally applicable for describing all stages of collective x-ray emission in paraxial geometry, including spontaneous emission, amplified spontaneous emission, and the nonlinear regime. Through numerical examples, we analyze key features of superfluorescence in a one-dimensional approximation. Importantly, single realizations of the underlying stochastic equations can be fully interpreted as individual experimental observations of superfluorescence.

Classification:

Contributing Institute(s):
  1. Theoretical ultrafast X-ray science (FS-TUX)
Research Program(s):
  1. 631 - Matter – Dynamics, Mechanisms and Control (POF4-631) (POF4-631)
  2. HIDSS-0002 - DASHH: Data Science in Hamburg - Helmholtz Graduate School for the Structure of Matter (2019_IVF-HIDSS-0002) (2019_IVF-HIDSS-0002)
  3. DFG project G:(GEPRIS)390715994 - EXC 2056: CUI: Advanced Imaging of Matter (390715994) (390715994)
  4. DFG project G:(GEPRIS)194651731 - EXC 1074: Hamburger Zentrum für ultraschnelle Beobachtung (CUI): Struktur, Dynamik und Kontrolle von Materie auf atomarer Skala (194651731) (194651731)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2024
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;
Hermitian stochastic methodology for x-ray superfluorescence
Physical review / A 109(6), 063705 () [10.1103/PhysRevA.109.063705]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2024-02-09, last modified 2024-11-17