Modeling X-Ray Superfluorescence by Stochastic Differential Equations

DASHH Doctoral Researcher: Vladislav Sukharnikov

Supervisors: Prof. Nina Rohringer (DESY, UHH), Dr. Andrei Benediktovitch (DESY), Prof. Armin Iske (UHH), Prof. Mathias Trabs (formerly UHH)

We formulate a generalized second-quantization procedure for open quantum systems and link it to phase-space sampling methods. Our bosonization scheme allows solving master equations for ensembles of up to 102 identical particles. The limitation on the number of particles is lifted when the quantum dynamics is sampled by stochastic trajectories, an approach equivalent to sample the  positive P-representation. In this project, we analyze the bosonization of density matrices, the transition to phase-space sampling, and the numerical challenges in solving stochastic differential equations. As an application of the novel method, we study x-ray superfluorescence and compare theoretical to experimental results.