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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 12: Focus Session: Feedback Control of Nonlinear Soft and Hard Matter Systems (original: DY, joined by CPP)

CPP 12.5: Talk

Monday, March 31, 2014, 16:45–17:00, HÜL 186

Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition — •Wassilij Kopylov¹, Clive Emary², Eckehard Schöll¹, and Tobias Brandes¹ — ¹Institut für Theoretische Physik, Technische Universität Berlin — ²Department of Physics and Mathematics, University of Hull, United Kingdom

We apply the time-delayed Pyragas control scheme to the dissipative Dicke system, modulating it by the difference of photon numbers emitted from the cavity. Using the mean field approach and linear stability analysis we show that this control dramatically affects the states in the primary superradiant regime, creating new limit cycle phases and a rich phase diagram. We also derive an analytical transcendental equation for the boundaries between the different zones in the phase diagram.