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We present a hybrid continuum-atomistic scheme which combines molecular dynamics (MD) simulations with on-the-fly machine learning techniques for the accurate and efficient prediction of multiscale fluidic systems. By using a Gaussian…

Fluid Dynamics · Physics 2016-03-16 David Stephenson , James R Kermode , Duncan A Lockerby

We propose a hybrid deterministic and stochastic approach to achieve extended time scales in atomistic simulations that combines the strengths of molecular dynamics (MD) and Monte Carlo (MC) simulations in an easy-to-implement way. The…

Materials Science · Physics 2011-10-18 Pratyush Tiwary , Axel van de Walle

Neural-network quantum states (NQS) employ artificial neural networks to encode many-body wave functions in second quantization through variational Monte Carlo (VMC). They have recently been applied to accurately describe electronic wave…

Chemical Physics · Physics 2023-11-27 Xiang Li , Jia-Cheng Huang , Guang-Ze Zhang , Hao-En Li , Chang-su Cao , Dingshun Lv , Han-Shi Hu

We develop an analog classical simulation algorithm of noiseless quantum dynamics. By formulating the Schr\"{o}dinger equation into a linear system of real-valued ordinary differential equations (ODEs), the probability amplitudes of a…

Quantum Physics · Physics 2025-02-11 Ka-Wa Yip

Recently, the dynamics simulation of light-harvesting complexes as an open quantum system, in the weak and strong coupling regimes, has received much attention. In this paper, we investigate a digital quantum simulation approach of the…

Quantum Physics · Physics 2020-10-02 M. Mahdian , H. Davoodi Yeganeh , A. Dehghani

Do diffusive non-Markovian stochastic Schr\"odinger equations (SSEs) for open quantum systems have a physical interpretation? In a recent paper [Phys. Rev. A 66, 012108 (2002)] we investigated this question using the orthodox interpretation…

Quantum Physics · Physics 2009-11-10 Jay Gambetta , H. M. Wiseman

In this study, we consider a numerical implementation of the nonlinear Rosenbluth-Trubnikov collision operator for particle simulations in plasma physics in the framework of the finite element method (FEM). The relevant particle evolution…

Plasma Physics · Physics 2024-02-07 Zhixin Lu , Guo Meng , Tomasz Tyranowski , Alex Chankin

The dissipation and decoherence (for example, the effects of noise in quantum computations), interaction with thermostat or in general with physical vacuum, measurement and many other complicated problems of open quantum systems are a…

Mathematical Physics · Physics 2007-05-23 Ashot S. Gevorkyan

To accurately study chemical reactions in the condensed phase or within enzymes, both a quantum-mechanical description and sufficient configurational sampling is required to reach converged estimates. Here, quantum mechanics/molecular…

Chemical Physics · Physics 2022-10-05 Albert Hofstetter , Lennard Böselt , Sereina Riniker

This study presents a novel state estimation approach integrating Deep Neural Networks (DNNs) into Moving Horizon Estimation (MHE). This is a shift from using traditional physics-based models within MHE towards data-driven techniques.…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Alexander Winkler , Pranav Shah , Katrin Baumgärtner , Vasu Sharma , David Gordon , Jakob Andert

We present a projection-based, stability-preserving methodology for computing time correlation functions in open quantum systems governed by generalized quantum master equations with non-Markovian effects. Building upon the memory kernel…

Quantum Physics · Physics 2026-02-12 Wei Liu , Rui-Hao Bi , Yu Su , Limin Xu , Zhennan Zhou , Yao Wang , Wenjie Dou

Complex systems are embedded in our everyday experience. Stochastic modelling enables us to understand and predict the behaviour of such systems, cementing its utility across the quantitative sciences. Accurate models of highly…

Single-mode optical fibers (SMFs) have become the backbone of modern communication systems. However, their throughput is expected to reach its theoretical limit in the nearest future. Utilization of multimode fibers (MMFs) is considered as…

Neural and Evolutionary Computing · Computer Science 2022-09-30 Ivan Chuprov , Dmitry Efremenko , Jiexing Gao , Pavel Anisimov , Viacheslav Zemlyakov

We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schr\"odingersation approach, which transforms any linear PDEs and ODEs with non-unitary dynamics into a system…

Quantum Physics · Physics 2023-08-17 Shi Jin , Nana Liu , Chuwen Ma

Despite its widespread use in materials science, conventional molecular dynamics (MD) simulations are severely constrained by timescale limitations. To address this shortcoming, we propose an empirical formulation of accelerated MD method,…

Materials Science · Physics 2025-12-10 Liang Wan , Qingsong Mei , Haowen Liu , Huafeng Zhang , Jun-Ping Du , Shigenobu Ogata , Wen Tong Geng

We present a method, based on the Keldysh formalism, for deriving stochastic master equations that describe the non-Markovian dynamics of a quantum system coupled to a Gaussian environment. This approach yields a compact expression for the…

Quantum Physics · Physics 2026-01-21 Vasco Cavina , Antonio D'Abbruzzo , Vittorio Giovannetti

Understanding the quantum evolution of light in nonlinear media is central to the development of next-generation quantum technologies. Yet modeling these processes remains computationally demanding, as the required resources grow rapidly…

Quantum Physics · Physics 2025-11-25 Nikolay Kapridov , Egor Tiunov , Dmitry Chermoshentsev

Simulating quantum many-body systems (QMBS) is one of the long-standing, highly non-trivial challenges in condensed matter physics and quantum information due to the exponentially growing size of the system's Hilbert space. To date, tensor…

Quantum Physics · Physics 2026-02-06 Belal Abouraya , Jirawat Saiphet , Fedor Jelezko , Ressa S. Said

Atomic-scale modeling of magnetic materials requires precise treatment of coupled spin-lattice degrees of freedom (DOFs). Traditional spin-lattice dynamics (SLD), employing Newtonian equation for lattice evolution and the…

Materials Science · Physics 2025-11-06 Zhengtao Huang , Han Wang , Ben Xu

Recently remarkable progress in quantum technology has been witnessed. In view of this it is important to investigate an open quantum system as a model of such quantum devices. Quantum devices often require extreme conditions such as very…

Quantum Physics · Physics 2020-12-02 Shingo Kukita , Yasushi Kondo , Mikio Nakahara