Stochastic Phase-Space Sampling of Collective Light-Matter Interaction

DASHH Doctoral Researcher: Stasis Chuchurka

Supervisors: Prof. Nina Rohringer (DESY, UHH), Jun.-Prof. Christina Brandt (UHH)

Describing collective light-matter interaction of an ensemble of quantum particles with a quantized radiation field and interaction with an enverionment is one of the core-challenges of quantum optics. It poses an intricate problem, since the exact evolution of the quantum-mechanical many-body state scales exponentially with the number of particles and is computationally untractable even for relatively small systems. In this research project we develop a stochastic phase-space sampling method that overcomes the exponential scaling. The resulting system of coupled stochastic differential equations have, however, often intrinsically diverging behaviour – diverging trajectories that require proper renormalization procedures.