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

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

Authors

Wassilij Kopylov

Clive Emary

Eckehard Schöll

Tobias Brandes



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.

Journal Article Type Article
Publication Date Jan 20, 2015
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
APA6 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
DOI https://doi.org/10.1088/1367-2630/17/1/013040
Publisher URL http://iopscience.iop.org/article/10.1088/1367-2630/17/1/013040
Copyright Statement 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.
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

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Copyright Statement
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.





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