000602656 001__ 602656 000602656 005__ 20241117024526.0 000602656 0247_ $$2INSPIRETeX$$aChuchurka:2024uln 000602656 0247_ $$2inspire$$ainspire:2756080 000602656 0247_ $$2arXiv$$aarXiv:2402.04069 000602656 0247_ $$2altmetric$$aaltmetric:159186780 000602656 037__ $$aPUBDB-2024-00716 000602656 041__ $$aEnglish 000602656 082__ $$a530 000602656 088__ $$2arXiv$$aarXiv:2402.04069 000602656 1001_ $$0P:(DE-H253)PIP1085353$$aChuchurka, Stasis$$b0$$eCorresponding author 000602656 245__ $$aHermitian stochastic methodology for x-ray superfluorescence 000602656 260__ $$c2024 000602656 3367_ $$0PUB:(DE-HGF)25$$2PUB:(DE-HGF)$$aPreprint$$bpreprint$$mpreprint$$s1731335491_2761183 000602656 3367_ $$2ORCID$$aWORKING_PAPER 000602656 3367_ $$028$$2EndNote$$aElectronic Article 000602656 3367_ $$2DRIVER$$apreprint 000602656 3367_ $$2BibTeX$$aARTICLE 000602656 3367_ $$2DataCite$$aOutput Types/Working Paper 000602656 520__ $$aA recently introduced theoretical framework for modeling the dynamics of x-ray amplified spontaneous emission is based on stochastic sampling of the density matrix of quantum emitters and the radiation field, similarly to other phase-space sampling techniques. While based on first principles and providing valuable theoretical insights, the original stochastic differential equations exhibit divergences and numerical instabilities. Here, we resolve this issue by accounting the stochastic components perturbatively. The refined formalism accurately reproduces the properties of spontaneous emission and proves universally applicable for describing all stages of collective x-ray emission in paraxial geometry, including spontaneous emission, amplified spontaneous emission, and the nonlinear regime. Through numerical examples, we analyze key features of superfluorescence in a one-dimensional approximation. Importantly, single realizations of the underlying stochastic equations can be fully interpreted as individual experimental observations of superfluorescence. 000602656 536__ $$0G:(DE-HGF)POF4-631$$a631 - Matter – Dynamics, Mechanisms and Control (POF4-631)$$cPOF4-631$$fPOF IV$$x0 000602656 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)$$c2019_IVF-HIDSS-0002$$x1 000602656 536__ $$0G:(GEPRIS)390715994$$aDFG project G:(GEPRIS)390715994 - EXC 2056: CUI: Advanced Imaging of Matter (390715994)$$c390715994$$x2 000602656 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 000602656 588__ $$aDataset connected to DataCite 000602656 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000602656 7001_ $$0P:(DE-H253)PIP1089766$$aSukharnikov, Vladislav$$b1 000602656 7001_ $$0P:(DE-H253)PIP1010949$$aRohringer, Nina$$b2 000602656 8564_ $$uhttps://bib-pubdb1.desy.de/record/602656/files/HTML-Approval_of_scientific_publication.html 000602656 8564_ $$uhttps://bib-pubdb1.desy.de/record/602656/files/PDF-Approval_of_scientific_publication.pdf 000602656 8564_ $$uhttps://bib-pubdb1.desy.de/record/602656/files/2402.04069v5.pdf$$yRestricted 000602656 8564_ $$uhttps://bib-pubdb1.desy.de/record/602656/files/2402.04069v5.pdf?subformat=pdfa$$xpdfa$$yRestricted 000602656 909CO $$ooai:bib-pubdb1.desy.de:602656$$pVDB 000602656 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1085353$$aExternal Institute$$b0$$kExtern 000602656 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1089766$$aExternal Institute$$b1$$kExtern 000602656 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1010949$$aDeutsches Elektronen-Synchrotron$$b2$$kDESY 000602656 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1010949$$aEuropean XFEL$$b2$$kXFEL.EU 000602656 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 000602656 9141_ $$y2024 000602656 915__ $$0StatID:(DE-HGF)0580$$2StatID$$aPublished 000602656 9201_ $$0I:(DE-H253)FS-TUX-20170422$$kFS-TUX$$lTheoretical ultrafast X-ray science$$x0 000602656 980__ $$apreprint 000602656 980__ $$aVDB 000602656 980__ $$aI:(DE-H253)FS-TUX-20170422 000602656 980__ $$aUNRESTRICTED