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D. Krimer, M. Zens, S. Rotter:
"Non-Markovian Quantum Dynamics and Bistability in Cavity QED";
Poster: Novel Paradigms in Many-Body Physics from Open Quantum Systems, Dresden; 2018-03-26 - 2018-03-29.

We theoretically explore the collective dynamics of a large spin ensemble coupled to a single-mode cavity. Our results show a suppression of the decoherence induced by the ensemble´s inhomogeneous broadening by spectral hole burning at judiciously chosen frequencies [3]. Furthermore, we show that a comb-like spin spectral density leads to coherent revival dynamics with exciting potential for quantum information processing [4]. All of the above non-Markovian dynamics is very well captured within the framework of a linear integral Volterra equation for the cavity amplitude. Going beyond this linear approach, we also developed a semiclassical theoretical framework based on the Maxwell-Bloch equations to describe the physics in the nonlinear regime. Here we identify an amplitude bistability with a critical slowing down of the cavity population - an effect realized in a recent experiment [5], where timescales on the order of eleven hours were found for this slowing down.