Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 73: Quantum Dynamics, Decoherence and Quantum Information (joint session DY/TT)

TT 73.7: Talk

Wednesday, March 14, 2018, 17:15–17:30, EB 107

Jump-based feedback control in the Lipkin-Meshkov-Glick model — •Sven Zimmermann — Technische Universität Berlin, Deutschland

We apply a measurement based feedback 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, 5]. Our interest lies in the steady state properties of the Lipkin-Meshkov-Glick system under the feedback action. By numerically calculating the average spin expectation values, we show 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 significantly modified by the considered closed-loop control scheme.

[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)