Mapping the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math> Hamiltonian onto a network of coupled lasers
Mostafa Honari-Latifpour, Mohammad-Ali Miri
Abstract
This article shows how dissipatively coupled laser networks evolve toward minimizing a Lyapunov function that turns out to be asymptotically equivalent with the XY Hamiltonian in the strong pump regime.
Topics & Concepts
Hamiltonian (control theory)PhysicsLaserLyapunov functionHamiltonian systemHamiltonian mechanicsFunction (biology)Quantum mechanicsSemiconductor laser theoryControl theory (sociology)Classical mechanicsTopology (electrical circuits)MathematicsLyapunov exponentMathematical physicsLaser beamsNeural Networks and Reservoir ComputingMechanical and Optical ResonatorsNonlinear Dynamics and Pattern Formation