Optical Phase Transitions in Photonic Networks: a Spin-System Formulation

Ramos, A.; Kottos, Tsampikos; Shapiro, Boris

doi:10.1103/physrevx.10.031024

Cited by 41 publications

(47 citation statements)

References 60 publications

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“…The understanding of light propagation in nonlinear multimode settings has both fundamental and technological ramifications. Optical phase transitions [1][2][3][4], beam self-cleaning [5][6][7] (a similar phenomenon occurs also for vibrational polar modes [8]), spatio-temporal mode locking [9], and multimode solitons [10] are some of the novel phenomena that these studies have recently revealed. At the same time, the development of predictive tools of the nonlinear beam dynamics will be addressing urging technological needs associated with the looming information "capacity crunch" in fiber-optical communication systems [11,12] and the quest for new platforms of high-power light sources [9].…”

Section: Introductionmentioning

confidence: 81%

Controlling Optical Beam Thermalization via Band-Gap Engineering

Shi,

Kottos,

Shapiro

2021

Preprint

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We establish dispersion engineering rules that allow us to control the thermalization process and the thermal state of an initial beam propagating in a multimode nonlinear photonic circuit. To this end, we have implemented a kinetic equation (KE) approach in systems whose Bloch dispersion relation exhibits bands and gaps. When the ratio between the gap-width to the band-width is larger than a critical value, the KE has stationary solutions which differ from the standard Rayleigh-Jeans (RJ) distribution. The theory also predicts the relaxation times above which such non-conventional thermal states occur. We have tested the validity of our results for the prototype SSH model whose connectivity between the composite elements allows to control the band-gap structure. These spectral engineering rules can be extended to more complex photonic networks that lack periodicity but their spectra consist of groups of modes that are separated by spectral gaps.

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Section: Introductionmentioning

confidence: 81%

Controlling Optical Beam Thermalization via Band-Gap Engineering

Shi,

Kottos,

Shapiro

2021

Preprint

Self Cite

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“…The multitude of modes supported by these systems provides not only new physical settings but also rich and complex environments where new classes of nonlinear spatiotemporal interactions can emerge [11]. To some extent, this convoluted and chaotic nonlinear energy exchange among optical modes is akin to that encountered in many-body problems [12,13], the investigation of which typically requires considerable computational power. Quite recently, a thermodynamic formalism has been developed that can describe in an effortless manner the classical behavior of highly multimode weakly nonlinear bosonic systems whose dynamics involve two conserved quantities [14,15].…”

Section: Introductionmentioning

confidence: 99%

A thermodynamic description of the near- and far-field intensity patterns emerging from multimode nonlinear waveguide arrays

Selim,

Wu,

Ren

et al. 2022

Preprint

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Nonlinear highly multimode photonic systems are ubiquitous in optics. Yet, the sheer complexity arising from the action of nonlinearity in multimode environments has posed theoretical challenges in describing these systems. In this work, we deploy concepts from optical thermodynamics to investigate the near-and far-field emission intensity patterns emerging from nonlinear waveguide arrays. An exact equation dictating the response of a nonlinear array is derived in terms of the system's invariants that act as extensive thermodynamic variables. In this respect, the near-and farfield characteristics emerging from a weakly nonlinear waveguide lattice are analytically addressed. We show that statistically, these patterns and the resulting far-field brightness are governed by the optical temperature and its corresponding chemical potential. The extensivity associated with the entropy of such configurations is discussed. The thermodynamic results presented here were found to be in good agreement with numerical simulations obtained from nonlinear coupled-mode theory.

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“…[20]. The choice of a purely conservative and local coupling is motivated by the experiments on lasing networks, where the individual elements (non-identical active and passive fibers) are coupled by non-dissipative optical couplers [21] but applies to more general nonlinear multimode photonic networks [22]. A similar coupling has been recently realized for nanoelectromechanical oscillators [23].…”

Section: Introductionmentioning

confidence: 99%

Phase-locking dynamics of heterogeneous oscillator arrays

Lepri,

Pikovsky

2021

Preprint

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We consider an array of nearest-neighbor coupled nonlinear autonomous oscillators with quenched random frequencies and purely conservative coupling. We show that global phase-locked states emerge in finite lattices and study numerically their destruction. Upon change of model parameters, such states are found to become unstable with the generation of localized periodic and chaotic oscillations. For weak nonlinear frequency dispersion, metastability occur akin to the case of almost-conservative systems. We also compare the results with the phase-approximation in which the amplitude dynamics is adiabatically eliminated.

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Optical Phase Transitions in Photonic Networks: a Spin-System Formulation

Cited by 41 publications

References 60 publications

Controlling Optical Beam Thermalization via Band-Gap Engineering

Controlling Optical Beam Thermalization via Band-Gap Engineering

A thermodynamic description of the near- and far-field intensity patterns emerging from multimode nonlinear waveguide arrays

Phase-locking dynamics of heterogeneous oscillator arrays

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