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TopologicalNumbers.jl is an open-source Julia package designed to calculate topological invariants, mathematical quantities that characterize the properties of materials in condensed matter physics. These invariants, such as the Chern…

介观与纳米尺度物理 · 物理学 2025-04-29 Keisuke Adachi , Minoru Kanega

We present the Julia package Manifolds$.$jl, providing a fast and easy-to-use library of Riemannian manifolds and Lie groups. This package enables working with data defined on a Riemannian manifold, such as the circle, the sphere, symmetric…

数学软件 · 计算机科学 2025-05-20 Seth D. Axen , Mateusz Baran , Ronny Bergmann , Krzysztof Rzecki

As the main theoretical support of quantum metrology, quantum parameter estimation must follow the steps of quantum metrology towards the applied science and industry. Hence, optimal scheme design will soon be a crucial and core task for…

量子物理 · 物理学 2025-04-11 Huai-Ming Yu , Jing Liu

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

量子物理 · 物理学 2023-06-07 Amartya Bose

HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic…

介观与纳米尺度物理 · 物理学 2022-05-18 Jan Košata , Javier del Pino , Toni L. Heugel , Oded Zilberberg

We introduce $\texttt{RandomMeas$.$jl}$, a modular and high-performance open-source software package written in Julia for implementing and analyzing randomized measurement protocols in quantum computing. Randomized measurements provide a…

量子物理 · 物理学 2026-04-29 Andreas Elben , Benoît Vermersch

MomentClosure.jl is a Julia package providing automated derivation of the time-evolution equations of the moments of molecule numbers for virtually any chemical reaction network using a wide range of moment closure approximations. It…

分子网络 · 定量生物学 2021-05-13 Augustinas Sukys , Ramon Grima

Estimating parameters of Partial Differential Equations (PDEs) from noisy and indirect measurements often requires solving ill-posed inverse problems. These so called parameter estimation or inverse medium problems arise in a variety of…

数学软件 · 计算机科学 2016-12-15 Lars Ruthotto , Eran Treister , Eldad Haber

Quasinormal modes and frequencies are the eigenvectors and eigenvalues of a non-Hermitian differential operator. They hold crucial significance in the physics of black holes. The analysis of quasinormal modes of black holes in…

高能物理 - 理论 · 物理学 2024-11-22 Daniel Arean , David Garcia-Fariña , Karl Landsteiner

Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for challenging system models remains a challenge. This paper presents NonlinearSolve.jl -- a suite of…

In this paper we present BilevelJuMP, a new Julia package to support bilevel optimization within the JuMP framework. The package is a Julia library that enables the user to describe both upper and lower-level optimization problems using the…

最优化与控制 · 数学 2022-12-21 Joaquim Dias Garcia , Guilherme Bodin , Alexandre Street

OutlierDetection.jl is an open-source ecosystem for outlier detection in Julia. It provides a range of high-performance outlier detection algorithms implemented directly in Julia. In contrast to previous packages, our ecosystem enables the…

机器学习 · 计算机科学 2022-11-10 David Muhr , Michael Affenzeller , Anthony D. Blaom

InvertibleNetworks.jl is a Julia package designed for the scalable implementation of normalizing flows, a method for density estimation and sampling in high-dimensional distributions. This package excels in memory efficiency by leveraging…

The hierarchical equations of motion (HEOM) approach can describe the reduced dynamics of a system simultaneously coupled to multiple bosonic and fermionic environments. The complexity of exactly describing the system-environment…

We present QuantumToolbox$.$jl, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of QuTiP (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast…

量子物理 · 物理学 2025-10-06 Alberto Mercurio , Yi-Te Huang , Li-Xun Cai , Yueh-Nan Chen , Vincenzo Savona , Franco Nori

PowerSimulations.jl is a Julia-based BSD-licensed power system operations simulation tool developed as a flexible and open source software for quasi-static power systems simulations including Production Cost Models. PowerSimulations.jl…

系统与控制 · 电气工程与系统科学 2024-04-05 Jose Daniel Lara , Clayton Barrows , Daniel Thom , Sourabh Dalvi , Duncan S. Callaway , Dheepak Krishnamurthy

We present an open source computational framework geared towards the efficient numerical investigation of open quantum systems written in the Julia programming language. Built exclusively in Julia and based on standard quantum optics…

量子物理 · 物理学 2018-03-14 Sebastian Krämer , David Plankensteiner , Laurin Ostermann , Helmut Ritsch

The purpose of this work is to study spectral methods to approximate the eigenvalues of nonlocal integral operators. Indeed, even if the spatial domain is an interval, it is very challenging to obtain closed analytical expressions for the…

数值分析 · 数学 2021-10-13 Luciano Lopez , Sabrina Francesca Pellegrino

FeAmGen.jl is a Julia package designed to generate Feynman diagrams and their corresponding amplitudes for various processes in particle physics. Utilizing the models in the Universal Feynman Output (UFO) format and Qgraf for diagram…

高能物理 - 唯象学 · 物理学 2024-05-10 Quan-feng Wu , Zhao Li

We introduce ACEpotentials.jl, a Julia-language software package that constructs interatomic potentials from quantum mechanical reference data using the Atomic Cluster Expansion (Drautz, 2019). As the latter provides a complete description…

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