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Memristors as emergent nano-electronic devices have been successfully fabricated and used in non-conventional and neuromorphic computing systems in the last years. Several behavioral or physical based models have been developed to explain…

In this paper we describe splitting methods for solving Levitron, which is motivated to simulate magnetostatic traps of neutral atoms or ion traps. The idea is to levitate a magnetic spinning top in the air repelled by a base magnet. The…

Mathematical Physics · Physics 2012-01-10 Juergen Geiser , Karl Lueskow

Variational quantum algorithms are promising tools for near-term quantum computers as their shallow circuits are robust to experimental imperfections. Their practical applicability, however, strongly depends on how many times their circuits…

Quantum Physics · Physics 2021-09-13 Barnaby van Straaten , Bálint Koczor

An extended Hamiltonian approach to conduct isothermal-isobaric molecular dynamics simulations with full cell flexibility is presented. The components of the metric tensor are used as the fictitious degrees of freedom for the cell, thus…

Chemical Physics · Physics 2009-11-07 E. Hernandez

A numerical framework based on network partition and operator splitting is developed to solve nonlinear differential equations of large-scale dynamic processes encountered in physics, chemistry and biology. Under the assumption that those…

Computational Physics · Physics 2018-01-22 Shucheng Pan , Jianhang Wang , Xiangyu Hu , Nikolaus A. Adams

Variability in memristive devices based on h-BN dielectrics is studied in depth. Different numerical techniques to extract the reset voltage are described and the corresponding cycle-to-cycle variability is characterized by means of the…

Mesoscale and Nanoscale Physics · Physics 2024-11-22 Juan B. Roldan , David Maldonado , C. Aguilera-Pedregosa , F. J. Alonso , Yiping Xiao , Yaqing Shen , Wenwen Zheng , Yue Yuan , Mario Lanza

We extend the notion of memristive systems to capacitive and inductive elements, namely capacitors and inductors whose properties depend on the state and history of the system. All these elements show pinched hysteretic loops in the two…

Mesoscale and Nanoscale Physics · Physics 2009-11-21 Massimiliano Di Ventra , Yuriy V. Pershin , Leon O. Chua

We present a fabricated and experimentally characterized memory stack that unifies memristive and memcapacitive behavior. Exploiting this dual functionality, we design a circuit enabling simultaneous control of spatial and temporal dynamics…

In pursuit of neuromorphic (brain-inspired) devices, memristors (memory-resistors) have emerged as effective components for emulating neuronal circuitry. Here we formally define a class of Simple Volatile Memristors (SVMs) based on a simple…

Soft Condensed Matter · Physics 2024-09-20 T. M. Kamsma , R. van Roij , C. Spitoni

As neural computation is revolutionizing the field of Artificial Intelligence (AI), rethinking the ideal neural hardware is becoming the next frontier. Fast and reliable von Neumann architecture has been the hosting platform for neural…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Yigit Demirag

In this work, we consider the error estimates of some splitting schemes for the charged-particle dynamics under a strong magnetic field. We first propose a novel energy-preserving splitting scheme with computational cost per step…

Numerical Analysis · Mathematics 2020-05-25 Bin Wang , Xiaofei Zhao

Exactly computing the full output distribution of linear optical circuits remains a challenge, as existing methods are either time-efficient but memory-intensive or memory-efficient but slow. Moreover, any realistic simulation must account…

Quantum Physics · Physics 2025-03-10 Timothée Goubault de Brugière , Nicolas Heurtel

Nonlinearity is a crucial characteristic for implementing hardware security primitives or neuromorphic computing systems. The main feature of all memristive devices is this nonlinear behavior observed in their current-voltage…

Emerging Technologies · Computer Science 2025-01-22 Sahitya Yarragolla , Torben Hemke , Fares Jalled , Tobias Gergs , Jan Trieschmann , Tolga Arul , Thomas Mussenbrock

Activation functions are widely used in neural networks to decide the activation value of the neural unit based upon linear combinations of the weighted inputs. The effective implementation of activation function is highly important, as…

Emerging Technologies · Computer Science 2019-08-28 Nursultan Kaiyrbekov , Olga Krestinskaya , Alex Pappachen James

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

The development of neuromorphic systems based on memristive elements - resistors with memory - requires a fundamental understanding of their collective dynamics when organized in networks. Here, we study an experimentally inspired model of…

Statistical Mechanics · Physics 2017-01-18 Forrest C. Sheldon , Massimiliano Di Ventra

We use a variational Monte Carlo algorithm to solve the electronic structure of two-dimensional semiconductor quantum dots in external magnetic field. We present accurate many-body wave functions for the system in various magnetic field…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ari Harju

We present a design-scheme for ultra-low power neuromorphic hardware using emerging spin-devices. We propose device models for 'neuron', based on lateral spin valves and domain wall magnets that can operate at ultra-low terminal voltage of…

Disordered Systems and Neural Networks · Physics 2012-07-19 Mrigank Sharad , Charles Augustine , Georgios Panagopoulos , Kaushik Roy

We present a multiscale simulation framework to compute the current vs. voltage (I-V ) characteristics of metal/oxide/metal structures building the core of conductive bridging random access memory (CBRAM) cells and to shed light on their…

In this work, we propose a deep learning approach for parallel magnetic resonance imaging (MRI) reconstruction, termed a variable splitting network (VS-Net), for an efficient, high-quality reconstruction of undersampled multi-coil MR data.…

Image and Video Processing · Electrical Eng. & Systems 2019-07-24 Jinming Duan , Jo Schlemper , Chen Qin , Cheng Ouyang , Wenjia Bai , Carlo Biffi , Ghalib Bello , Ben Statton , Declan P O'Regan , Daniel Rueckert