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A network of optical parametric oscillators is used to simulate classical Ising and XY spin chains. The collective nonlinear dynamics of this network, driven by quantum noise rather than thermal fluctuations, seeks out the Ising / XY ground…

In superconducting quantum processors, the predictability of device parameters is of increasing importance as many labs scale up their systems to larger sizes in a 3D-integrated architecture. In particular, the properties of superconducting…

Transmitting data using the phases on reconfigurable intelligent surfaces (RIS) is a promising solution for future energy-efficient communication systems. Recent work showed that a virtual phased massive multiuser…

Signal Processing · Electrical Eng. & Systems 2023-10-26 Wai-Yiu Keung , Hei Victor Cheng , Wing-Kin Ma

Intelligent surfaces that reshape electromagnetic waves are regarded as disruptive technologies for wireless networks. However, existing designs sit at two costly extremes: dynamic reconfigurable intelligent surfaces (RISs) offer fine beam…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Ziyuan Zheng , Qingqing Wu , Wen Chen , Weiren Zhu , Ying Gao

We update a one-dimensional chain of Ising spins of length $L$ with algorithms which are parameterized by the probability $p$ for a certain site to get updated in one time step. The result of the update event itself is determined by the…

Other Condensed Matter · Physics 2008-11-18 Filippo Radicchi , Daniele Vilone , Hildegard Meyer-Ortmanns

The functionality of logic and memory elements in current electronics is based on multi-stability, driven either by manipulating local concentrations of electrons in transistors, or by switching between equivalent states of a material with…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 I. Vaskivskyi , I. A. Mihailovic , S. Brazovskii , J. Gospodaric , T. Mertelj , D. Svetin , P. Sutar , D. Mihailovic

Despite recent progress in nonlinear optics in wavelength-scale resonators, there are still open questions on the possibility of parametric oscillation in such resonators. We present a general approach to predict the behavior and estimate…

Optics · Physics 2021-02-22 Saman Jahani , Arkadev Roy , Alireza Marandi

We call `bits' a sequence of devices indexed by positive integers, where every device can be in two states: $0$ (idle) and $1$ (active). Start from the `ground state' of the system when all bits are in $0$-state. In our first Binary…

Probability · Mathematics 2014-08-13 Anton Muratov , Sergei Zuyev

Reconfigurable intelligent surface (RIS)-assisted communications recently appeared as a game-changing technology for next-generation wireless communications due to its unprecedented ability to reform the propagation environment. One of the…

Information Theory · Computer Science 2022-08-23 Aymen Khaleel , Ertugrul Basar

Quantum and classical physics can be used for mathematical computations that are hard to tackle by conventional electronics. Very recently, optical Ising machines have been demonstrated for computing the minima of spin Hamiltonians, paving…

Optics · Physics 2019-06-26 D. Pierangeli , G. Marcucci , C. Conti

We address the problem of active optical steering of structural phase transitions in solids. We demonstrate that existing reinforcement learning approaches can derive optimal time-dependent electric fields in optically-driven dissipative…

Materials Science · Physics 2025-11-07 Sraddha Agrawal , Stephen Whitelam , Pierre Darancet

We derive an effective time independent Hamiltonian for the transverse Ising model coupled to a spin bath, in the presence of a high frequency AC magnetic field. We show that the spin blocking mechanism that removes the quantum phase…

Strongly Correlated Electrons · Physics 2017-02-02 Álvaro Gómez-León , P. C. E. Stamp

Experimental advances in condensed matter physics and material science have enabled ready access to atomic-resolution images, with resolution of modern tools often sufficient to extract minute details of symmetry-breaking distortions such…

Statistical Mechanics · Physics 2019-09-23 Sai Mani Prudhvi Valleti , Lukas Vlcek , Rama K. Vasudevan , Sergei V. Kalinin

An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

Statistical Mechanics · Physics 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

Statistical Mechanics · Physics 2019-01-31 Ran Huang , Purushottam D. Gujrati

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate…

Statistical Mechanics · Physics 2009-11-07 A. Pikovsky , A. Zaikin , M. A. de la Casa

Exploring nonlinear chemical dynamic systems for information processing has emerged as a frontier in chemical and computational research, seeking to replicate the brain's neuromorphic and dynamic functionalities. We have extensively…

Chemical Physics · Physics 2026-05-19 Zheyang Li , Xi Yu

We explore the cooperative behaviour and phase transitions of interacting networks by studying a simplified model consisting of Ising spins placed on the nodes of two coupled Erd\"os-R\'enyi random graphs. We derive analytical expressions…

Statistical Mechanics · Physics 2018-08-27 Maíra Bolfe , Lucas Nicolao , Fernando L. Metz

We study the phase diagram of memristive circuit models in the replica-symmetric case using a novel Lyapunov function for the dynamics of these devices. Effectively, the model we propose is an Ising model with interacting quenched disorder,…

Statistical Mechanics · Physics 2020-09-07 Francesco Caravelli , Forrest C. Sheldon