Superfluidity of light in nematic liquid crystals

Ferreira, Tiago D.; Silva, Nuno A.; Guerreiro, A.

doi:10.1103/physreva.98.023825

Cited by 19 publications

(17 citation statements)

References 41 publications

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“…Any such experiment would need to have fine control over losses and nonlinearity strength in order to keep within the wave turbulence regime while the condensate is being built up. Liquid crystals are an attractive optical medium in this respect due to several inherently tunable parameters [88] that would assist in achieving conditions relevant to wave turbulence studies. Equation (3b) is well posed for spatially infinite domains in which the support of ρ(x) = |ψ (x)| 2 is compact, but if one seeks an equilibrium with spatially constant V and ρ the only solution is the trivial null solution (an empty domain).…”

Section: B Outlook For Wave Turbulence In Schrödinger-helmholtz Systemsmentioning

confidence: 99%

Wave turbulence in self-gravitating Bose gases and nonlocal nonlinear optics

2020

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We develop the theory of weak wave turbulence in systems described by the Schrödinger-Helmholtz equations in two and three dimensions. This model contains as limits both the familiar cubic nonlinear Schrödinger equation, and the Schrödinger-Newton equations. The latter, in three dimensions, are a nonrelativistic model of fuzzy dark matter which has a nonlocal gravitational self-potential, and in two dimensions they describe nonlocal nonlinear optics in the paraxial approximation. We show that in the weakly nonlinear limit the Schrödinger-Helmholtz equations have a simultaneous inverse cascade of particles and a forward cascade of energy. The inverse cascade we interpret as a nonequilibrium condensation process, which is a precursor to structure formation at large scales (for example the formation of galactic dark matter haloes or optical solitons). We show that for the Schrödinger-Newton equations in two and three dimensions, and in the two-dimensional nonlinear Schrödinger equation, the particle and energy fluxes are carried by small deviations from thermodynamic distributions, rather than the Kolmogorov-Zakharov cascades that are familiar in wave turbulence. We develop a differential approximation model to characterize such "warm cascade" states.

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Section: B Outlook For Wave Turbulence In Schrödinger-helmholtz Systemsmentioning

confidence: 99%

Wave turbulence in self-gravitating Bose gases and nonlocal nonlinear optics

2020

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“…where σ is the nonlocal interaction length scale (σ ∼ d/2, with d corresponding to the diameter of the medium [10]), µ and ζ are the thermo-optical and linear absorption coefficients, respectively, and κ is the thermal conductivity. For nematic liquid crystals [8,9,19] we have that…”

Section: A the Schrödinger-newton Equations In Optical Systemsmentioning

confidence: 99%

“…Light propagating in nonlinear and nonlocal systems, under the paraxial approximation, is described by a Schrödinger-Newton system, which consists in a Schrödinger equation coupled with a Newtonian-like potential (or, more generally, a Poisson potential), where the former is responsible for describing the evolution of the envelope of the beam through the medium, and the last one for describing the distribution of the refractive index, and examples of materials where this model is used are nematic liquid crystals [8,9,12], thermo-optical materials [10,11] and quantum gases [13,14]. Indeed, the Schrödinger-Newton model is capable of describing a much wider set of systems, ranging from boson stars [10] to dark matter [11] and superfluidity [9,15], to name a few, and due to the similarities between these mathematical descriptions, this system has been proposed and used for implementing optical analogues [9][10][11]15], where systems that are hard or even impossible to study are emulated in the laboratory under controlled conditions. Over the years, many numerical models have been developed and improved to simulate this class of systems and in the last years, at our research group, we have developed a set of high-performance solvers based on GPGPU supercomputing to numerically study this class of systems, and successfully applied them in the study of superfluidity in nematic liquid crystals [9] and persistent currents in atomic gases [16].…”

Section: Introductionmentioning

confidence: 99%

Using numerical methods from nonlocal optics to simulate the dynamics of N -body systems in alternative theories of gravity

et al. 2020

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The generalized Schrödinger-Newton system of equations with both local and nonlocal nonlinearities is widely used to describe light propagating in nonlinear media under the paraxial approximation. However, its use is not limited to optical systems and can be found to describe a plethora of different physical phenomena, for example, dark matter or alternative theories for gravity. Thus, the numerical solvers developed for studying light propagating under this model can be adapted to address these other phenomena. Indeed, in this work we report the development of a solver for the HiLight simulations platform based on GPGPU supercomputing and the required adaptations for this solver to be used to test the impact of new extensions of the Theory of General Relativity in the dynamics of the systems, in particular those based on theories with non-minimal coupling between curvature and matter. This approach in the study of these new models offers a quick way to validate them since their analytical analysis is difficult. The simulation module, its performance, and some preliminary tests are presented in this paper.

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“…In this work, we make use of advanced highperformance computing tools previously developed at our research group in the context of nonlinear optics [29][30][31], to detect and to explore how NMC curvature-matter models of gravity give rise to stationary large scale distributions of mass. In particular, we focus on a particular non-minimal coupled curvature-matter gravity model, where functions f 1 (R) and f 2 (R) are expanded up to the second and first order in the curvature R, respectively, and assume that matter at the relevant scales behaves as a fluid.…”

Section: Introductionmentioning

confidence: 99%

Pressureless stationary solutions in a Newton-Yukawa gravity model

Ferreira,

Novo,

Silva

et al. 2021

Preprint

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Non-minimally coupled curvature-matter gravity models are an interesting alternative to the Theory of General Relativity and to address the dark energy and dark matter cosmological problems. These models have complex field equations that prevent a full analytical study. Nonetheless, in a particular limit, the behavior of a matter distribution can, in these models, be described by a Schrödinger-Newton system. In nonlinear optics, the Schrödinger-Newton system can be used to tackle a wide variety of relevant situations and several numerical tools have been developed for this purpose. Interestingly, these methods can be adapted to study General Relativity problems as well as its extensions. In this work, we report the use of these numerical tools to study a particular non-minimal coupling model that introduces two new potentials, an attractive Yukawa potential and a repulsive potential proportional to the energy density. Using the imaginary-time propagation method we have shown that stationary solutions arise even at low energy density regimes.

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Superfluidity of light in nematic liquid crystals

Cited by 19 publications

References 41 publications

Wave turbulence in self-gravitating Bose gases and nonlocal nonlinear optics

Wave turbulence in self-gravitating Bose gases and nonlocal nonlinear optics

Using numerical methods from nonlocal optics to simulate the dynamics of N -body systems in alternative theories of gravity

Pressureless stationary solutions in a Newton-Yukawa gravity model

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