Evidence of a Critical Phase Transition in Purely Temporal Dynamics with Long-Delayed Feedback

Marco Faggian, Francesco Ginelli, Francesco Marino, Giovanni Giacomelli

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Abstract

Experimental evidence of an absorbing phase transition, so far associated with spatio-temporal dynamics is provided in a purely temporal optical system. A bistable semiconductor laser, with long-delayed opto-electronic feedback and multiplicative noise shows the peculiar features of a critical phenomenon belonging to the directed percolation universality class. The numerical study of a simple, effective model provides accurate estimates of the transition critical exponents, in agreement with both theory and our experiment. This result pushes forward an hard equivalence of non-trivial stochastic, long-delayed systems with spatio-temporal ones and opens a new avenue for studying out-of-equilibrium universality classes in purely temporal dynamics.
Original languageEnglish
Article number173901
JournalPhysical Review Letters
Volume120
Issue number17
DOIs
Publication statusPublished - 26 Apr 2018

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Evidence of a Critical Phase Transition in Purely Temporal Dynamics with Long-Delayed Feedback. / Faggian, Marco; Ginelli, Francesco; Marino, Francesco ; Giacomelli, Giovanni.

In: Physical Review Letters, Vol. 120, No. 17, 173901 , 26.04.2018.

Research output: Contribution to journalArticle

Faggian, Marco ; Ginelli, Francesco ; Marino, Francesco ; Giacomelli, Giovanni. / Evidence of a Critical Phase Transition in Purely Temporal Dynamics with Long-Delayed Feedback. In: Physical Review Letters. 2018 ; Vol. 120, No. 17.
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abstract = "Experimental evidence of an absorbing phase transition, so far associated with spatio-temporal dynamics is provided in a purely temporal optical system. A bistable semiconductor laser, with long-delayed opto-electronic feedback and multiplicative noise shows the peculiar features of a critical phenomenon belonging to the directed percolation universality class. The numerical study of a simple, effective model provides accurate estimates of the transition critical exponents, in agreement with both theory and our experiment. This result pushes forward an hard equivalence of non-trivial stochastic, long-delayed systems with spatio-temporal ones and opens a new avenue for studying out-of-equilibrium universality classes in purely temporal dynamics.",
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AB - Experimental evidence of an absorbing phase transition, so far associated with spatio-temporal dynamics is provided in a purely temporal optical system. A bistable semiconductor laser, with long-delayed opto-electronic feedback and multiplicative noise shows the peculiar features of a critical phenomenon belonging to the directed percolation universality class. The numerical study of a simple, effective model provides accurate estimates of the transition critical exponents, in agreement with both theory and our experiment. This result pushes forward an hard equivalence of non-trivial stochastic, long-delayed systems with spatio-temporal ones and opens a new avenue for studying out-of-equilibrium universality classes in purely temporal dynamics.

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