Explicit construction of single input - single output logic gates from three soliton solution of Manakov system

Abstract

We construct single input logic gates using the energy sharing collisions of a minimal number of (three) bright optical solitons associated with the three soliton solution of the integrable Manakov system. As computation requires state changes to represent binary logic, here we make use of the state change of a particular soliton during its sequential collision with other two solitons for constructing single input gates. As a consequence, we clearly demonstrate the construction of various one-input logic gates such as COPY gate, NOT gate and ONE gate using energy sharing three soliton collision of Manakov system. This type of realization of logic gates just from a three soliton collision (pair-wise interaction) is clearly distinct from the earlier studies which require separate collisions of four solitons.

22 pages, 7 figures

References in corpus (3)

• Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
• General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions
• Periodic energy switching of bright solitons in mixed coupled nonlinear Schr{ö}dinger equations with linear self and cross coupling terms

Cited by in corpus (3)

• Harnessing energy sharing collisions of Manakov solitons to implement universal NOR and OR logic gates
• Simulation of universal optical logic gates under energy sharing collisions of Manakov solitons and fulfillment of practical optical logic criteria
• On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves