Astroid Spinodal Boundary in Phase-Based Ising Machines
Malihe Farasat, Nikhil Shukla
Abstract
Oscillator Ising machines (OIMs) and dynamical Ising machines (DIMs) encode binary spins in phase states stabilized by second-harmonic injection (SHI). In a coupled network, the competition between SHI and the instantaneous local network field reshapes each oscillator's conditional energy landscape. We show that this competition drives a transition between monostable and bistable regimes through an astroid spinodal boundary. Near this boundary, the barrier scales as ΔEiμi3/2 at generic smooth points and as ΔEiμi2 at the longitudinal cusp. OIMs and DIMs obey the same spinodal geometry, with their conditional landscapes related by a reversal of the transverse field. Finally, the first-harmonic conditional landscape is mathematically equivalent, up to an additive constant, to the Stoner--Wohlfarth energy of a uniaxial magnetic particle.
Create a lesson
Related papers
Automatic generation of exchange-correlation response kernels
Susi Lehtola
A unified gas-kinetic wave-particle method for multiscale gas-mixture flow with an elementary chemical reaction
Cao Junzhe, Wei Yufeng, Long Wenpei et al.
Energy Yield and Lifetime Climate Classification via Machine Learning for Optimizing Photovoltaic Module Design and Materials
Youri Blom, Sofia Dutto, Alexandru Costache et al.
Rapidly Convergent Finite-Element Domain Decomposition Method With Two-Channel Transmission Conditions
Furkan Şık, Fernando L. Teixeira, Balasubramaniam Shanker
A sharp-diffuse interface model for intermittent and isolated topological transitions
Raaghav Ramani
Macroparticles with different weights relax to different temperatures in Particle-In-Cell simulations
Remi Lehe, Arianna Formenti, Justin R. Angus et al.