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DY: Fachverband Dynamik und Statistische Physik

DY 19: Statistical Physics 4 - organized by Barbara Drossel (Darmstadt), Sabine Klapp (Berlin) and Thomas Speck (Mainz)

DY 19.2: Talk

Tuesday, March 23, 2021, 09:20–09:40, DYb

Universality of photon counting below a local bifurcation threshold — •Lisa Arndt and Fabian Hassler — JARA-Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany

At a bifurcation point, a small change of a parameter causes a qualitative change in the dynamics of the system. Quantum fluctuations wash out this abrupt transition and enable the emission of photons below the classical bifurcation threshold. Close to the bifurcation point, the resulting photon counting statistics is determined by the instability. This talk discusses a generic method to derive a characteristic function of photon counting close to a bifurcation threshold that only depends on the dynamics and the type of bifurcation, based on the universality of the Martin-Siggia-Rose action. The method is exemplified for the cusp catastrophe without conservation laws, which can be implemented by an experimental setup using driven Josephson junctions.