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: SUPA, Physics Department and Institute for Complex Systems and Mathematical Biology, King’s College,
University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
Faculty of Information Studies in Novo Mesto, 8000 Novo Mesto, Slovenia.
Consiglio Nazionale delle Ricerche, Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy.
Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, Via Madonna del Piano 10, 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: 14
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