Hannover 2016 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 5: Quantum Optics I
Q 5.2: Talk
Monday, February 29, 2016, 11:15–11:30, f442
Dissipative Two-Mode Tavis-Cummings Model with Time-Delayed Feedback Control — •Wassilij Kopylov1, Milan Radonjić2,3, Tobias Brandes1, Antun Balaž3, and Axel Pelster4 — 1Institut für Theoretische Physik, TU Berlin — 2Faculty of Physics, University of Vienna, Austria — 3Institute of Physics Belgrade, University of Belgrade, Serbia — 4Physics Department and Research Center OPTIMAS, TU Kaiserslautern
We investigate the dynamics of a two-mode laser system by extending the two-mode Tavis- Cummings model [1] with dissipative channels and incoherent pumping and by applying the mean-field approximation in the thermodynamic limit [2]. To this end we analytically calculate up to four possible non-equilibrium steady states (fixed points) and determine the corresponding complex phase diagram. Various possible phases are distinguished by the actual number of fixed points and their stability. In addition, we apply three time-delayed Pyragas feedback control schemes [3,4]. Depending on the time delay and the strength of the control term this can lead to the stabilization of unstable fixed points or to the selection of a particular cavity mode that is macroscopically occupied.
[1] W. Kopylov, M. Radonjić, T. Brandes, A. Balaž, and A. Pelster, Phys. Rev. A (in press), arXiv:1507.01811
[2] M. Tavis and F.W. Cummings, Phys. Rev. 170, 379 (1968)
[3] K. Pyragas, Phys. Lett. A 170, 421 (1992)
[4] W. Just, A. Pelster, M. Schanz, and E. Schöll, Phil. Trans. Roy. Soc. A 368, 303 (2010)