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A system of two coupled semiconductor-based resonators is studied when lasing around an exceptional point. We show that the presence of nonlinear saturation effects can have important ramifications on the transition behavior of this system.…

A recent experimental demonstration of a parametric magnetization oscillation excited by applying a microwave voltage to a ferromagnetic metal will be applicable not only to a new magnetization switching method but also to bio-inspired…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Tomohiro Taniguchi

We study large networks of parametric oscillators as heuristic solvers of random Ising models. In these networks, known as coherent Ising machines, the model to be solved is encoded in the coupling between the oscillators, and a solution is…

Statistical Mechanics · Physics 2021-04-12 Marcello Calvanese Strinati , Leon Bello , Emanuele G. Dalla Torre , Avi Pe'er

Second harmonic injection (SHI) has emerged as a critical mechanism in enabling networks of coupled oscillators to function as Oscillator Ising Machines (OIMs), capable of minimizing the Ising Hamiltonian. While SHI facilitates phase…

Computational Physics · Physics 2025-08-27 Malihe Farasat , E. M. H. E. B. Ekanayake , Nikhil Shukla

We address the recently-observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [1]. We argue that the measured lobe structure in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eugene V. Sukhorukov , Vadim V. Cheianov

The 'magnon parametron' is a ferromagnetic particle that is parametrically excited by microwaves in a cavity. Above a certain threshold of the microwave power, a bistable steady state emerges that forms an effective Ising spin. We calculate…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Mehrdad Elyasi , Eiji Saitoh , Gerrit E. W. Bauer

We perform simulations of random Ising models defined over small-world networks and we check the validity and the level of approximation of a recently proposed effective field theory. Simulations confirm a rich scenario with the presence of…

Disordered Systems and Neural Networks · Physics 2015-03-13 A. L. Ferreira , J. F. F. Mendes , M. Ostilli

We uncover a novel dynamical quantum phase transition, using random matrix theory and its associated notion of planar limit. We study it for the isotropic XY Heisenberg spin chain. For this, we probe its real-time dynamics through the…

Quantum Physics · Physics 2024-03-04 David Pérez-García , Leonardo Santilli , Miguel Tierz

In the context of studying periodic processes, this paper investigates first under which conditions switching affine systems in the plane generate stable limit cycles. Based on these conditions, a design methodology is proposed by which the…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Nils Hanke , Olaf Stursberg

We report on a new class of Ising Machines (IMs) that rely on coupled parametric frequency dividers (PFDs) as macroscopic artificial spins. Unlike the IM counterparts based on subharmonic injection locking (SHIL), PFD IMs do not require…

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase…

Dynamical Systems · Mathematics 2021-08-25 Martin Volvert , Gaetan Kerschen

The design of nonlinear dynamical systems whose gradient flows minimize the Ising Hamiltonian has emerged as a compelling paradigm for realizing Ising machines, forming the foundation of architectures including coherent Ising machines,…

Computational Physics · Physics 2026-03-13 E. M. Hasantha Ekanayake , Arvind R. Venkatakrishnan , Francesco Bullo , Nikhil Shukla

To realize spin wave logic gates programmable phase inverters are essential. We image with phase-resolved Brillouin light scattering microscopy propagating spin waves in a one-dimensional magnonic crystal consisting of dipolarly coupled…

Mesoscale and Nanoscale Physics · Physics 2021-04-23 Korbinian Baumgaertl , Dirk Grundler

The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

Ising machines show promise as ultrafast hardware for optimizations encoded in Ising Hamiltonians but fall short in terms of success rate and performance scaling. Here, we propose a novel Ising machine that exploits the three-dimensional…

Time crystals constitute a novel phase of matter defined by the spontaneous breaking of timetranslation symmetry. Here we present a scheme to realize a continuous-time crystal of the vibrational phonon in the normal mode of two coupled…

Quantum Physics · Physics 2026-04-30 Yi-Ling Zhan , Chun-Fu Liu , J. -T. Bu , K. -F Cui , S. -L. Su , L. -L. Yan , Gang Chen

We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified…

Statistical Mechanics · Physics 2011-09-28 Daniel G. Barci , Daniel A. Stariolo

With the evolution of heterogeneous computing system, such as network-on-chip, high-performance distributed computing, accelerator-rich architectures and cluster computing, high-speed, energy-efficient and low-latency interfaces among…

Emerging Technologies · Computer Science 2017-01-03 Jason Y. Du

Recently we demonstrated experimentally that microwave oscillators based on the time delay feedback provided by traveling spin waves could operate as reservoir computers. In the present paper, we extend this concept by adding the feature of…

Applied Physics · Physics 2021-06-30 Stuart Watt , Mikhail Kostylev , Alexey B. Ustinov , Boris A. Kalinikos

A new model for time series with a specific oscillation pattern is proposed. The model consists of a hidden phase process controlling the speed of polling and a nonparametric curve characterizing the pattern, leading together to a…

Statistics Theory · Mathematics 2016-08-15 Rainer Dahlhaus , Thierry Dumont , Sylvain Le Corff , Jan C. Neddermeyer