Evidence of a critical phase transition in purely temporal dynamics with long-delayed feedback

Year: 2018

Authors: Faggian M., Ginelli F., Marino F., Giacomelli G.

Autors Affiliation: Univ Aberdeen, Kings Coll, Phys Dept, SUPA, Aberdeen AB24 3UE, Scotland; Univ Aberdeen, Kings Coll, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland; Fac Informat Studies Novo Mesto, Novo Mesto 8000, Slovenia; CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy; Ist Sistemi Complessi, CNR, Via Madonna Piano 10, I-50019 Sesto Fiorentino, Italy.

Abstract: Experimental evidence of an absorbing phase transition, so far associated with spatiotemporal dynamics, is provided in a purely temporal optical system. A bistable semiconductor laser, with long-delayed optoelectronic 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 a hard equivalence of nontrivial stochastic, long-delayed systems with spatiotemporal ones and opens a new avenue for studying out-of-equilibrium universality classes in purely temporal dynamics.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 120 (17)      Pages from: 173901-1  to: 173901-6

More Information: We wish to thank S. Lepri and A. Politi for useful discussions. M. F. and F. G. acknowledge support from EU Marie Curie ITN Grant No. 642563 (COSMOS).
KeyWords: Phase Transitions; Nonlinear dynamics; Semiconductor Lasers
DOI: 10.1103/PhysRevLett.120.173901

Citations: 16
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