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

Physical Review Letters
Marco FaggianGiovanni Giacomelli

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.

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Citations

Jul 23, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Joseph D HartRajarshi Roy
Nov 9, 2019·Physical Review Letters·Joseph D HartGünter Radons
Dec 18, 2020·Physical Review. E·Francesco Marino, Giovanni Giacomelli

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