Optical Phase Transitions in Photonic Networks: A Spin System Formulation

Abstract

We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings with long-range couplings. To this end, we have established a connection with the theory of spin networks. The emerging "photonic spins" are complex, soft (their size is not fixed) and their dynamics has two constants of motion. Our analysis shed light on the nature of the thermal equilibrium states and reveals the existence of optical phase-transitions which resemble a paramagnetic to a ferromagnetic and to a spin-glass phase transitions occurring in spin networks. We show that, for fixed average optical power, these transitions are driven by the type (constant or random couplings) of the network connectivity and by the total energy of the optical signal.

References in corpus (30)

• Space Division Multiplexing in Optical Fibres
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Bose-Einstein condensation of photons in an optical microcavity
• Spatiotemporal mode-locking in multimode fiber lasers
• Spatial beam self-cleaning in multimode fiber
• Optical solitons in graded-index multimode fiber
• Statistical mechanics of a nonlinear discrete system
• Thermodynamic theory of highly multimoded nonlinear optical systems
• Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers
• Dramatic acceleration of wave condensation mediated by disorder in multimode fibers
• General phase-diagram of multimodal ordered and disordered lasers in closed and open cavities
• Complexity of waves in nonlinear disordered media
• Phase diagram and complexity of mode-locked lasers: from order to disorder
• Statistical mechanics of general discrete nonlinear Schr{ö}dinger models: Localization transition and its relevance for Klein-Gordon lattices
• Thermodynamic conditions governing the optical temperature and chemical potential in nonlinear highly multimoded photonic systems
• Spatial Beam Self-Cleaning and Supercontinuum Generation with Yb-doped Multimode Graded-Index Fiber Taper Based on Accelerating Self-Imaging and Dissipative Landscape
• Complex active optical networks as a new laser concept
• Emergence of Quantum Ergodicity in Rough Billiards
• Universal Correlations and Dynamic Disorder in a Nonlinear Periodic 1D System
• Deformations and dilations of chaotic billiards, dissipation rate, and quasi-orthogonality of the boundary wavefunctions
• Wave condensation with weak disorder versus beam self-cleaning in multimode fibers
• Thermalization of matter waves in speckle potentials
• High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schroedinger equation
• Phase transitions at high energy vindicate negative microcanonical temperature
• Thermalization of Strongly Disordered Nonlinear Chains
• Rate of energy absorption for a driven chaotic cavity
• Quantum Gibbs distribution from dynamical thermalization in classical nonlinear lattices
• Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss
• Coherent Wave Propagation in Multi-Mode systems with Correlated Noise
• Berezinskii-Kosterlitz-Thouless transition in a photonic lattice

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• Rayleigh-Jeans thermalization vs beam cleaning in multimode optical fibers
• Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model
• A thermodynamic description of the near- and far-field intensity patterns emerging from multimode nonlinear waveguide arrays
• Frustration Elimination and Excited State Search in Coherent Ising Machines
• Random matrix model of Kolmogorov-Zakharov turbulence
• Coherence properties of light in highly multimoded nonlinear parabolic fibers under optical equilibrium conditions
• Thermalization of the Ablowitz-Ladik lattice in the presence of non-integrable perturbations
• Phase-locking dynamics of heterogeneous oscillator arrays
• Weak Langmuir turbulence in disordered multimode optical fibers
• Spatio-temporal thermalization and adiabatic cooling of guided light waves
• Irreversible thermalization vs reversible dynamics mediated by anomalous correlators: Wave turbulence theory and experiments in optical fibers
• Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures