Observing Geometric Frustration with Thousands of Coupled Lasers

Nixon, Micha; Ronen, Eitan; Friesem, Asher A.; Davidson, Nir

doi:10.1103/physrevlett.110.184102

Cited by 214 publications

(238 citation statements)

References 38 publications

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“…Conversely, if the output coupling is designed such that the flat band has the highest Q, its strong degeneracy and divergent density of states in Fig. 2(c) should lead to strongly multimode lasing with no long range phase order [72].…”

Section: Applicationsmentioning

confidence: 99%

Conical intersections for light and matter waves

Leykam

Desyatnikov

2016

Advances in Physics: X

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We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the Dirac cone, where propagation is governed by an effective Dirac equation, with electron spin replaced by a "fermionic" half-integer pseudospin. However, in many systems such as metamaterials, modal symmetries result in the formation of higher order conical intersections with integer or "bosonic" pseudospin. The ability to engineer lattices with these qualitatively different singular dispersion relations opens up many applications, including superior slab lasers, generation of orbital angular momentum, zeroindex metamaterials, and quantum simulation of exotic phases of relativistic matter.

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Section: Applicationsmentioning

confidence: 99%

Conical intersections for light and matter waves

Leykam

Desyatnikov

2016

Advances in Physics: X

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“…Nonlinear dynamics of DOPO in various parameter ranges, including crossover from degenerate to non-degenerate modes, are presented in refs. 31, 48, 49. Another type of optical neural networks, coherent XY machines, have been recently demonstrated using coupled lasers, 50,51 non-degenerate OPOs, 52 and polaritons. 53 The Kuramoto model and the continuous optimization problems, in general, can be potentially implemented on these machines.…”

Section: Discussionmentioning

confidence: 99%

Coherent Ising machines—optical neural networks operating at the quantum limit

et al. 2017

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In this article, we will introduce the basic concept and the quantum feature of a novel computing system, coherent Ising machines, and describe their theoretical and experimental performance. We start with the discussion how to construct such physical devices as the quantum analog of classical neuron and synapse, and end with the performance comparison against various classical neural networks implemented in CPU and supercomputers.

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“…This shows that the secondary convection has features of a frustrated system (Nixon et al 2013) as multiple states are possible for each α.…”

Section: Longitudinal Rollsmentioning

confidence: 94%

Instabilities of natural convection in a periodically heated layer

Hossain

Floryan

2013

J. Fluid Mech.

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Natural convection in an infinite horizontal layer subject to periodic heating along the lower wall has been investigated using a combination of numerical and asymptotic techniques. The heating maintains the same mean temperatures at both walls while producing sinusoidal temperature variations along one horizontal direction, with its spatial distribution characterized by the wavenumber α and the amplitude expressed in terms of a Rayleigh number Ra p . The primary response of the system takes the form of stationary convection consisting of rolls with the axis orthogonal to the heating wave vector and structure determined by the particular values of Ra p and α. It is shown that for sufficiently large α convection is limited to a thin layer adjacent to the lower wall with a uniform conduction zone emerging above it; the temperature in this zone becomes independent of the heating pattern and varies in the vertical direction only. Linear stability of the above system has been considered and conditions leading to the emergence of secondary convection have been identified. Secondary convection gives rise to either longitudinal rolls, transverse rolls or oblique rolls at the onset, depending on α. The longitudinal rolls are parallel to the primary rolls and the transverse rolls are orthogonal to the primary rolls, and both result in striped patterns. The oblique rolls lead to the formation of convection cells with aspect ratio dictated by their inclination angle and formation of rhombic patterns. Two mechanisms of instability have been identified. In the case of α = O(1), parametric resonance dominates and leads to a pattern of instability that is locked in with the pattern of heating according to the relation δ cr = α/2, where δ cr denotes the component of the critical disturbance wave vector parallel to the heating wave vector. The second mechanism, the Rayleigh-Bénard (RB) mechanism, dominates for large α, where the instability is driven by the uniform mean vertical temperature gradient created by the primary convection, with the critical disturbance wave vector δ cr → 1.56 for α → ∞ and the fluid response becoming similar to that found in the case of a uniformly heated wall. Competition between these mechanisms gives rise to non-commensurable states in the case of longitudinal rolls and the appearance of soliton lattices, to the formation of distorted transverse rolls, and to the appearance of the wave vector component in the direction perpendicular to the forcing direction. A rapid stabilization is observed when the heating wavenumber is reduced below α ≈ 2.2 and no instability is found when α < 1.6 in the range of Ra p considered. It is shown that α plays the † Email address for correspondence: mfloryan@eng.uwo.ca ‡ Current address: role of an effective pattern control parameter and its judicious selection provides a means for the creation of a wide range of flow responses.

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Observing Geometric Frustration with Thousands of Coupled Lasers

Cited by 214 publications

References 38 publications

Conical intersections for light and matter waves

Conical intersections for light and matter waves

Coherent Ising machines—optical neural networks operating at the quantum limit

Instabilities of natural convection in a periodically heated layer

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