Tootfinder

Design of Silicon Photonic microring resonators with complex waveguide cross-sections and minimal non-linearity
Stefania Cucco, Marco Novarese, Sebastian Romero Garcia, Jock Bovington, Mariangela Gioannini
https://arxiv.org/abs/2506.22077

Design of Silicon Photonic microring resonators with complex waveguide cross-sections and minimal non-linearity
We present a model and a rigorous method to calculate the transmission coefficient of silicon micro-rings with complex waveguide cross-section including non-linear effects and self-heating, with very short simulation times. The method is applied to the design of MRRs in the SISCAP platform with high Q and reduced non-linearity, namely due to two photon absorption and free carrier absorption. We demonstrate that the free carrier diffusion in rib waveguides and Shockely-Read-Hall recombination pl…

Homotopy continuation method for solving Dyson equation fully self-consistently: theory and application to NdNiO2
Pavel Pokhilko, Dominika Zgid
https://arxiv.org/abs/2507.00290

Homotopy continuation method for solving Dyson equation fully self-consistently: theory and application to NdNiO2
Solution of the Dyson equation for the small-gap systems can be plagued by large non-converging iterations. In addition to the convergence issues, due to a high non-linearity, the Dyson equation may have multiple solutions. We apply the homotopy continuation approach to control the behavior of iterations. We used the homotopy continuation to locate multiple fully self-consistent GW solutions for NdNiO2 solid and to establish the corresponding Hartree-Fock limits. Some of the solutions found are…

This https://arxiv.org/abs/2504.05877 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Threshold-less and Flexibly Tunable Frequency Comb via Floquet Engineering
Frequency combs have revolutionized communication, metrology and spectroscopy. Numerous efforts have been dedicated to developing integrated combs, predominantly relying on Pockels or Kerr mechanisms. In this work, we propose and demonstrate a new type of frequency comb-Floquet cavity frequency comb-that does not rely on intrinsic material non-linearity. By periodically modulating the resonance frequency of a cavity, a Floquet cavity with multiple equally spaced frequency components is created.…

Iterated jump noncomputability and compactness
Gavin Dooley
https://arxiv.org/abs/2506.20620 https://arxiv.org/pdf/2506.20620

Iterated jump noncomputability and compactness
We use reverse mathematics to analyze "iterated jump" versions of the following four principles: the atomic model theorem with subenumerable types (AST), the diagonally noncomputable principle (DNR), weak weak Kőnig's lemma (WWKL), and weak Kőnig's lemma (WKL). The logical relationships between these principles are summarized in Figure 1 and include, among other things, an infinite chain and an infinite antichain, the latter of which represents a strong form of non-linearity in terms of prova…

Minimal Per-Flow Backlog Bounds at an Aggregate FIFO Server under Piecewise-Linear Arrival Curves
Lukas Wildberger, Anja Hamscher, Jens B. Schmitt
https://arxiv.org/abs/2506.16914

Minimal Per-Flow Backlog Bounds at an Aggregate FIFO Server under Piecewise-Linear Arrival Curves
Network Calculus (NC) is a versatile methodology based on min-plus algebra to derive worst-case per-flow performance bounds in networked systems with many concurrent flows. In particular, NC can analyze many scheduling disciplines; yet, somewhat surprisingly, an aggregate FIFO server is a notoriously hard case due to its min-plus non-linearity. A resort is to represent the FIFO residual service by a family of functions with a free parameter instead of just a single curve. For simple token-bucke…

Transformers Beyond Order: A Chaos-Markov-Gaussian Framework for Short-Term Sentiment Forecasting of Any Financial OHLC timeseries Data
Arif Pathan
https://arxiv.org/abs/2506.17244

Transformers Beyond Order: A Chaos-Markov-Gaussian Framework for Short-Term Sentiment Forecasting of Any Financial OHLC timeseries Data
Short-term sentiment forecasting in financial markets (e.g., stocks, indices) is challenging due to volatility, non-linearity, and noise in OHLC (Open, High, Low, Close) data. This paper introduces a novel CMG (Chaos-Markov-Gaussian) framework that integrates chaos theory, Markov property, and Gaussian processes to improve prediction accuracy. Chaos theory captures nonlinear dynamics; the Markov chain models regime shifts; Gaussian processes add probabilistic reasoning. We enhance the framework…

Fractional Nonlinear Schrodinger Equation Revisited
Morteza Nattagh Najafi, Fatemeh Foroughirad
https://arxiv.org/abs/2505.19202 https://

Fractional Nonlinear Schrodinger Equation Revisited
We investigate the space time fractional nonlinear Schrodinger equation (FNLSE) incorporating the modified Riemann Liouville derivative introduced by Jumari. The equation is characterized by two parameters: the fractional derivative parameter (alpha, which captures the memory effects) and the non linearity parameter a. We present analytical solutions via three complementary approaches: the fractional Riccati method, the Adomian decomposition method, and the scaling method. The FNLSE is formulat…

Kardar--Parisi--Zhang universality in optically induced lattices of exciton--polariton condensates
D. Novokreschenov, V. Neplokh, M. Misko, N. Starkova, T. Cookson, A. Kudlis, A. Nalitov, I. A. Shelykh, A. V. Kavokin, P. Lagoudakis
https://arxiv.org/abs/2506.10187

Kardar--Parisi--Zhang universality in optically induced lattices of exciton--polariton condensates
We investigate space-time coherence in one-dimensional lattices of exciton-polariton condensates formed by fully reconfigurable non-resonant optical pumping. Starting from an open-dissipative Gross-Pitaevskii equation with deterministic reservoir kinetics and stochastic condensate noise, we derive a discrete complex-field model that incorporates coherent tunnelling, reservoir-mediated dissipative coupling and gain-saturation non-linearity. Adiabatic elimination of fast density fluctuations reve…

This https://arxiv.org/abs/2312.15007 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Uniqueness of positive solutions for m-Laplacian equations with polynomial non-linearity
We consider the uniqueness of the following positive solutions of $m$-Laplacian equation: \begin{equation} \left\{ \begin{aligned} -Δ_m u&=λu^{m-1}+u^{p-1} \quad \text{in} \quad Ω\\ u&=0 \quad \text{on} \quad \partial Ω\end{aligned} \right. \qquad(0.1)\end{equation} where $m>1$ is a constant. When $p\rightarrow m$, the uniqueness of positive solutions of $(0.1)$ is shown which is based on the essential uniqueness of first eigenfunction for $m$-Laplacian equation. Futhermore, we also prove t…

Neuralized Fermionic Tensor Networks for Quantum Many-Body Systems
Si-Jing Du, Garnet Kin-Lic Chan
https://arxiv.org/abs/2506.08329 https://

Neuralized Fermionic Tensor Networks for Quantum Many-Body Systems
We describe a class of neuralized fermionic tensor network states (NN-fTNS) that introduce non-linearity into fermionic tensor networks through configuration-dependent neural network transformations of the local tensors. The construction uses the fTNS algebra to implement a natural fermionic sign structure and is compatible with standard tensor network algorithms, but gains enhanced expressivity through the neural network parametrization. Using the 1D and 2D Fermi-Hubbard models as benchmarks, …

Barium Calcium Zirconium Titanate Thin Film-Based Capacitive Thermoelectric Converter for Low-Grade Waste Heat
Mohammad K. Al Thehaiban, Vladimir S. Getov, Qiaomu Yao, Chukwudike C. Ukeje, Peter K. Petrov
https://arxiv.org/abs/2506.10759

Barium Calcium Zirconium Titanate Thin Film-Based Capacitive Thermoelectric Converter for Low-Grade Waste Heat
A capacitive thermoelectric device can harvest thermal energy and convert it to electrical energy by employing a temperature-dependent dielectric material whose permittivity sharply changes with temperature. Electricity can be generated by fluctuating the temperature of the capacitor. Currently, capacitive thermoelectric devices are not broadly used, which can be attributed to the low efficiency of the existing solutions, the lack of dielectric materials with suitable temperature non-linearity …