Tootfinder

Saturable nonlinearity induced quantum correlations in optomechanics
D. R. Kenigoule Massembele, E. Kongkui Berinyuy, P. Djorwe, A. -H. Abdel-Aty, M. R. Eid, R. Altuijri, S. G. Nana Engo
https://arxiv.org/abs/2506.10709

Saturable nonlinearity induced quantum correlations in optomechanics
We propose a scheme that induces quantum correlations in optomtomechanical systems. Our benchmark system consists of two optically coupled optical cavities which interact with a common mechanical resonator. The optical cavities host saturable nonlinearity which triggers either gain or losses in each cavity. Without these nonlinearities, there are no quantum correlations, i.e., entanglement and steering, generated in the system. By turning on the nonlinearities, gain and losses are switched on, …

Massively parallel and universal approximation of nonlinear functions using diffractive processors
Md Sadman Sakib Rahman, Yuhang Li, Xilin Yang, Shiqi Chen, Aydogan Ozcan
https://arxiv.org/abs/2507.08253

Massively parallel and universal approximation of nonlinear functions using diffractive processors
Nonlinear computation is essential for a wide range of information processing tasks, yet implementing nonlinear functions using optical systems remains a challenge due to the weak and power-intensive nature of optical nonlinearities. Overcoming this limitation without relying on nonlinear optical materials could unlock unprecedented opportunities for ultrafast and parallel optical computing systems. Here, we demonstrate that large-scale nonlinear computation can be performed using linear optics…

On local well-posedness for the nonlinear Schr\"odinger equation with general power nonlinearity
Lucia Arens, Marius Gritl
https://arxiv.org/abs/2506.10595

On local well-posedness for the nonlinear Schrödinger equation with general power nonlinearity
The nonlinear Schrödinger equation plays a fundamental role in mathematical physics, particularly in the study of quantum mechanics and Bose-Einstein condensation. This paper explores two distinct approaches to establishing the local well-posedness of solutions: the semigroup theory ansatz and the Strichartz estimates ansatz. Semigroup theory provides a general and elegant framework rooted in functional analysis, allowing for the interpretation of the time evolution of solutions as operator se…

Learning-Based Stable Optimal Control for Infinite-Time Nonlinear Regulation Problems
Han Wang, Di Wu, Lin Cheng, Shengping Gong, Xu Huang
https://arxiv.org/abs/2506.10291

Learning-Based Stable Optimal Control for Infinite-Time Nonlinear Regulation Problems
Infinite-time nonlinear optimal regulation control is widely utilized in aerospace engineering as a systematic method for synthesizing stable controllers. However, conventional methods often rely on linearization hypothesis, while recent learning-based approaches rarely consider stability guarantees. This paper proposes a learning-based framework to learn a stable optimal controller for nonlinear optimal regulation problems. First, leveraging the equivalence between Pontryagin Maximum Principle…

Nonlinear N\'eel Spin-Orbit Torque in Centrosymmetric Antiferromagnets
Jin Cao, Weikang Wu, Huiying Liu, Shen Lai, Cong Xiao, X. C. Xie, Shengyuan A. Yang
https://arxiv.org/abs/2506.10333

Nonlinear Néel Spin-Orbit Torque in Centrosymmetric Antiferromagnets
Electric control of Néel vector is a central task of antiferromagnetic (AFM) spintronics. The major scheme so far relies on the linear Néel torque, which however is restricted to AFMs with broken inversion symmetry. Here, we propose a nonlinear Néel spin-orbit torque, uniquely enabling electric control in the vast class of centrosymmetric AFMs, where the existing scheme fails. Importantly, its intrinsic component, rooted in sublattice-resolved band quantum geometry, offers two additional adv…

Ultrahigh threshold nonstabilizer nonlinear quantum error correcting code
Maga Grafe, Kaixuan Zhou, Zaman Tekin, Zhiyuan Lin, Sen Li, Fengquan Zhang, Valentin Ivannikov, Tim Byrnes
https://arxiv.org/abs/2506.10445

Ultrahigh threshold nonstabilizer nonlinear quantum error correcting code
We introduce a novel type of quantum error correcting code, called the spinor code, based on spaces defined by total spin. The code is a nonstabilizer code, and is also a nonlinear quantum error correcting code, meaning that quantum information is encoded in a parameterized family of quantum states, rather than a linear superposition of code words. Syndrome measurements are performed by projecting on states with differing total spin, with an associated correction to map states back to the maxim…

Broadband Tunable Deep-UV Emission from AI-Optimized Nonlinear Metasurface Architectures
Omar A. M. Abdelraouf
https://arxiv.org/abs/2506.10442 https://

Broadband Tunable Deep-UV Emission from AI-Optimized Nonlinear Metasurface Architectures
Metasurfaces represent a pivotal advancement in nonlinear optics, leveraging high-Q resonant cavities to enhance harmonic generation. Multi-layer metasurfaces (MLMs) further amplify this potential by intensifying light-matter interactions within individual meta-atoms at the nanoscale. However, maximizing nonlinear efficiency demands extreme field confinement through optimized designs of large geometric and material parameters, which exceed traditional simulation's computational ability. To over…

Data-Driven Model Reduction by Moment Matching for Linear and Nonlinear Parametric Systems
Hanqing Zhang, Junyu Mao, Mohammad Fahim Shakib, Giordano Scarciotti
https://arxiv.org/abs/2506.10866

Data-Driven Model Reduction by Moment Matching for Linear and Nonlinear Parametric Systems
Theory and methods to obtain parametric reduced-order models by moment matching are presented. The definition of the parametric moment is introduced, and methods (model-based and data-driven) for the approximation of the parametric moment of linear and nonlinear parametric systems are proposed. These approximations are exploited to construct families of parametric reduced-order models that match the approximate parametric moment of the system to be reduced and preserve key system properties suc…

Disentangling Electronic and Ionic Nonlinear Polarization Effects in the THz Kerr Response of LaAlO$_{3}$
Chao Shen, Maximilian Frenzel, Sebastian F. Maehrlein, Zhanybek Alpichshev
https://arxiv.org/abs/2506.10472

Disentangling Electronic and Ionic Nonlinear Polarization Effects in the THz Kerr Response of LaAlO$_{3}$
Nonlinear responses to intense terahertz (THz) fields provide unique insights into complex dynamics of contemporary material systems. However, the interpretation of the obtained data, in particular, distinguishing genuine ionic oscillations from the instantaneous electronic responses in THz Kerr effect remains challenging. Here, we combine two-dimensional Terahertz Kerr effect (2D-TKE) spectroscopy experiments and their modeling to unravel complex THz-induced temporal oscillations in twinned La…

Spin-orbit bi-colour modulation and analysis of structured light in a nonlinear optics experiment
Kiki Dekkers, Mwezi Koni, Vagharshak Hakobyan, Sachleen Singh, Jonathan Leach, Etienne Brasselet, Isaac Nape, Andrew Forbes
https://arxiv.org/abs/2506.10557

Spin-orbit bi-colour modulation and analysis of structured light in a nonlinear optics experiment
Here we propose the use of an adjustable liquid crystal spin-orbit device to shape and detect bi-colour structured light in a nonlinear optics framework. The spin-orbit device has an inhomogeneous optical axis orientation and birefringence, allowing it to modulate two wavelengths of light with pre-selected transmission functions by simply tuning a voltage. We combine this bi-colour functionality in a nonlinear optical experiment by employing three-wave mixing in a periodically poled crystal to …