000600062 001__ 600062 000600062 005__ 20250123130726.0 000600062 0247_ $$2INSPIRETeX$$aChuchurka:2023kun 000600062 0247_ $$2inspire$$ainspire:2734940 000600062 0247_ $$2arXiv$$aarXiv:2312.06537 000600062 037__ $$aPUBDB-2023-07724 000600062 041__ $$aEnglish 000600062 088__ $$2arXiv$$aarXiv:2312.06537 000600062 1001_ $$0P:(DE-H253)PIP1085353$$aChuchurka, Stasis$$b0$$eCorresponding author$$udesy 000600062 245__ $$aStochastic modeling of superfluorescence in compact systems 000600062 260__ $$c2024 000600062 3367_ $$0PUB:(DE-HGF)25$$2PUB:(DE-HGF)$$aPreprint$$bpreprint$$mpreprint$$s1737634005_200722 000600062 3367_ $$2ORCID$$aWORKING_PAPER 000600062 3367_ $$028$$2EndNote$$aElectronic Article 000600062 3367_ $$2DRIVER$$apreprint 000600062 3367_ $$2BibTeX$$aARTICLE 000600062 3367_ $$2DataCite$$aOutput Types/Working Paper 000600062 520__ $$aWe propose an approach based on stochastic differential equations to describe superfluorescence in compact ensembles of multi-level emitters in the presence of various incoherent processes. This approach has a numerical complexity that does not depend on the number of emitters. The stochastic differential equations are derived directly from the quantum master equation. In this study, we present a series of numerical examples, comparing our solution to exact calculations and discussing the limits of applicability. For many relevant cases, the proposed stochastic differential equations provide accurate results and correctly capture quantum many-body correlation effects. 000600062 536__ $$0G:(DE-HGF)POF4-631$$a631 - Matter – Dynamics, Mechanisms and Control (POF4-631)$$cPOF4-631$$fPOF IV$$x0 000600062 536__ $$0G:(GEPRIS)390715994$$aDFG project G:(GEPRIS)390715994 - EXC 2056: CUI: Advanced Imaging of Matter (390715994)$$c390715994$$x1 000600062 588__ $$aDataset connected to INSPIRE 000600062 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000600062 7001_ $$0P:(DE-H253)PIP1089766$$aSukharnikov, Vladislav$$b1 000600062 7001_ $$0P:(DE-H253)PIP1014628$$aBenediktovitch, Andrei$$b2$$udesy 000600062 7001_ $$0P:(DE-H253)PIP1010949$$aRohringer, Nina$$b3$$udesy 000600062 8564_ $$uhttps://bib-pubdb1.desy.de/record/600062/files/2312.06537v1.pdf$$yRestricted 000600062 8564_ $$uhttps://bib-pubdb1.desy.de/record/600062/files/2312.06537v1.pdf?subformat=pdfa$$xpdfa$$yRestricted 000600062 909CO $$ooai:bib-pubdb1.desy.de:600062$$pVDB 000600062 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1085353$$aDeutsches Elektronen-Synchrotron$$b0$$kDESY 000600062 9101_ $$0I:(DE-HGF)0$$6P:(DE-H253)PIP1089766$$aExternal Institute$$b1$$kExtern 000600062 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1014628$$aDeutsches Elektronen-Synchrotron$$b2$$kDESY 000600062 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1014628$$aEuropean XFEL$$b2$$kXFEL.EU 000600062 9101_ $$0I:(DE-588b)2008985-5$$6P:(DE-H253)PIP1010949$$aDeutsches Elektronen-Synchrotron$$b3$$kDESY 000600062 9101_ $$0I:(DE-588)1043621512$$6P:(DE-H253)PIP1010949$$aEuropean XFEL$$b3$$kXFEL.EU 000600062 9131_ $$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$$x0 000600062 9141_ $$y2024 000600062 915__ $$0StatID:(DE-HGF)0580$$2StatID$$aPublished 000600062 9201_ $$0I:(DE-H253)FS-TUX-20170422$$kFS-TUX$$lTheoretical ultrafast X-ray science$$x0 000600062 9201_ $$0I:(DE-H253)FS-PS-20131107$$kFS-PS$$lFS-Photon Science$$x1 000600062 980__ $$apreprint 000600062 980__ $$aVDB 000600062 980__ $$aI:(DE-H253)FS-TUX-20170422 000600062 980__ $$aI:(DE-H253)FS-PS-20131107 000600062 980__ $$aUNRESTRICTED