Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition

Kopylov, Wassilij; Emary, Clive; Schöll, Eckehard; Brandes, Tobias

Abstract

We apply the time-delayed Pyragas control scheme to the dissipative Dicke model via a modulation of the atom-field-coupling. The feedback creates an infinite sequence of non-equilibrium phases with fixed points and limit cycles in the primary superradiant regime. We analyse this Hopf bifurcation scenario as a function of delay time and feedback strength and determine analytical conditions for the phase boundaries.

Citation

Kopylov, W., Emary, C., Schöll, E., & Brandes, T. (2015). Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition. New Journal of Physics, 17(1), 013040. https://doi.org/10.1088/1367-2630/17/1/013040

• Journal Article Type: Article
• Acceptance Date: Dec 8, 2014
• Online Publication Date: Jan 20, 2015
• Publication Date: Jan 20, 2015
• Deposit Date: Jun 28, 2018
• Publicly Available Date: Jul 18, 2018
• Journal: New Journal of Physics
• Print ISSN: 1367-2630
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Issue: 1
• Article Number: 013040
• Pages: 013040
• DOI: https://doi.org/10.1088/1367-2630/17/1/013040
• Public URL: https://hull-repository.worktribe.com/output/898420
• Publisher URL: http://iopscience.iop.org/article/10.1088/1367-2630/17/1/013040
• Additional Information: Journal title: New Journal of Physics; Article type: paper; Article title: Time-delayed feedback control of the Dicke–Hepp–Lieb superradiant quantum phase transition; Copyright information: © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft; License information: cc-by Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Date received: 2014-08-11; Date accepted: 2014-12-08; Online publication date: 2015-01-20
• Contract Date: Jun 28, 2018