000617133 001__ 617133 000617133 005__ 20250715171003.0 000617133 0247_ $$2doi$$a10.1103/PhysRevA.109.063705 000617133 0247_ $$2INSPIRETeX$$aChuchurka:2024uln 000617133 0247_ $$2inspire$$ainspire:2756080 000617133 0247_ $$2ISSN$$a2469-9926 000617133 0247_ $$2ISSN$$a2469-9942 000617133 0247_ $$2ISSN$$a2469-9934 000617133 0247_ $$2arXiv$$aarXiv:2402.04069 000617133 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-06623 000617133 0247_ $$2WOS$$aWOS:001248756600005 000617133 0247_ $$2openalex$$aopenalex:W4399671615 000617133 037__ $$aPUBDB-2024-06623 000617133 041__ $$aEnglish 000617133 082__ $$a530 000617133 088__ $$2arXiv$$aarXiv:2402.04069 000617133 1001_ $$0P:(DE-H253)PIP1085353$$aChuchurka, Stasis$$b0$$eCorresponding author 000617133 245__ $$aHermitian stochastic methodology for x-ray superfluorescence 000617133 260__ $$aWoodbury, NY$$bInst.$$c2024 000617133 3367_ $$2DRIVER$$aarticle 000617133 3367_ $$2DataCite$$aOutput Types/Journal article 000617133 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1736935878_3091502 000617133 3367_ $$2BibTeX$$aARTICLE 000617133 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000617133 3367_ $$00$$2EndNote$$aJournal Article 000617133 520__ $$aA recently introduced theoretical framework for modeling the dynamics of x-ray amplified spontaneous emission is based on stochastic sampling of the density matrix of quantum emitters and the radiation field, similarly to other phase-space sampling techniques. While based on first principles and providing valuable theoretical insights, the original stochastic differential equations exhibit divergences and numerical instabilities. Here, we resolve this issue by accounting the stochastic components perturbatively. The refined formalism accurately reproduces the properties of spontaneous emission and proves universally applicable for describing all stages of collective x-ray emission in paraxial geometry, including spontaneous emission, amplified spontaneous emission, and the nonlinear regime. Through numerical examples, we analyze key features of superfluorescence in a one-dimensional approximation. Importantly, single realizations of the underlying stochastic equations can be fully interpreted as individual experimental observations of superfluorescence. 000617133 536__ $$0G:(DE-HGF)POF4-631$$a631 - Matter – Dynamics, Mechanisms and Control (POF4-631)$$cPOF4-631$$fPOF IV$$x0 000617133 536__ $$0G:(GEPRIS)390715994$$aDFG project G:(GEPRIS)390715994 - EXC 2056: CUI: Advanced Imaging of Matter (390715994)$$c390715994$$x1 000617133 536__ $$0G:(DE-HGF)2019_IVF-HIDSS-0002$$aHIDSS-0002 - DASHH: Data Science in Hamburg - Helmholtz Graduate School for the Structure of Matter (2019_IVF-HIDSS-0002)$$c2019_IVF-HIDSS-0002$$x2 000617133 536__ $$0G:(GEPRIS)194651731$$aDFG project G:(GEPRIS)194651731 - EXC 1074: Hamburger Zentrum für ultraschnelle Beobachtung (CUI): Struktur, Dynamik und Kontrolle von Materie auf atomarer Skala (194651731)$$c194651731$$x3 000617133 542__ $$2Crossref$$i2024-06-14$$uhttps://link.aps.org/licenses/aps-default-license 000617133 588__ $$aDataset connected to CrossRef, INSPIRE, Journals: bib-pubdb1.desy.de 000617133 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000617133 7001_ $$0P:(DE-H253)PIP1089766$$aSukharnikov, Vladislav$$b1 000617133 7001_ $$0P:(DE-H253)PIP1010949$$aRohringer, Nina$$b2 000617133 77318 $$2Crossref$$3journal-article$$a10.1103/physreva.109.063705$$bAmerican Physical Society (APS)$$d2024-06-14$$n6$$p063705$$tPhysical Review A$$v109$$x2469-9926$$y2024 000617133 773__ $$0PERI:(DE-600)2844156-4$$a10.1103/PhysRevA.109.063705$$gVol. 109, no. 6, p. 063705$$n6$$p063705$$tPhysical review / A$$v109$$x2469-9926$$y2024 000617133 7870_ $$0PUBDB-2024-00716$$aChuchurka, Stasis et.al.$$d2024$$iIsParent$$r$$tHermitian stochastic methodology for X-ray superfluorescence 000617133 8564_ $$uhttps://bib-pubdb1.desy.de/record/617133/files/PhysRevA.109.063705.pdf$$yOpenAccess 000617133 8564_ $$uhttps://bib-pubdb1.desy.de/record/617133/files/PhysRevA.109.063705.pdf?subformat=pdfa$$xpdfa$$yOpenAccess 000617133 909CO $$ooai:bib-pubdb1.desy.de:617133$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire 000617133 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1085353$$aExternal Institute$$b0$$kExtern 000617133 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1089766$$aExternal Institute$$b1$$kExtern 000617133 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1010949$$aDeutsches Elektronen-Synchrotron$$b2$$kDESY 000617133 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1010949$$aEuropean XFEL$$b2$$kXFEL.EU 000617133 9131_ $$0G:(DE-HGF)POF4-631$$1G:(DE-HGF)POF4-630$$2G:(DE-HGF)POF4-600$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$aDE-HGF$$bForschungsbereich Materie$$lVon Materie zu Materialien und Leben$$vMatter – Dynamics, Mechanisms and Control$$x0 000617133 9141_ $$y2024 000617133 915__ $$0StatID:(DE-HGF)0160$$2StatID$$aDBCoverage$$bEssential Science Indicators$$d2023-08-29 000617133 915__ $$0StatID:(DE-HGF)1230$$2StatID$$aDBCoverage$$bCurrent Contents - 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