Erlangen 2018 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 66: Quantum Effects (Entanglement and Decoherence)

Q 66.6: Talk

Friday, March 9, 2018, 11:45–12:00, K 1.013

Jump-based Control of the Lipkin-Meshkov-Glick model — Sven Zimmermann, •Wassilij Kopylov, and Gernot Schaller — Institut für theoretische Physik, TU Berlin, Berlin, Germany

We apply a measurement based closed loop control scheme to the dissipative Lipkin-Meshkov-Glick model to affect the quantum phase transition[1-3]. Here we use the Wiseman-Milburn control scheme and apply it on the level of the master equation to the system dissipator [4]. Our interest lies in the steady state properties of the Lipkin-Meshkov-Glick system under the feedback action. We show, by calculating the averaged spin expectation values, that the considered control scheme changes the critical point of the phase transition. Furthermore, by investigating the waiting time distribution and the concurrence, we show, that the emission properties of the system and the entanglement can be strongly modified by the feedback control.

[1] H.J. Lipkin, N. Meshkov and A. Glick, Nucl. Phys., 62, 188 (1965)

[2] S. Morrison and A. S. Parkins PRL 100, 040403 (2008)

[3] W. Kopylov and T. Brandes, NJP 17, 103031 (2015)

[4] H. M. Wiseman and G. J. Milburn, Quantum Measurment Control, Cambrige University Press, Campridge (2010)

[5] G. Kießlich, C. Emary, G. Schaller and T. Brandes, NJP 14, 123036 (2012)