English

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

Quantum Physics 2015-03-09 v2 Quantum Gases Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1403.0620,
  title  = {Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition},
  author = {Wassilij Kopylov and Clive Emary and Eckehard Schöll and Tobias Brandes},
  journal= {arXiv preprint arXiv:1403.0620},
  year   = {2015}
}