SpiDy.jl: open-source Julia package for the study of non-Markovian stochastic dynamics

TL;DR

SpiDy.jl is an open-source Julia package that enables simulation of non-Markovian stochastic dynamics in classical and quantum systems, incorporating arbitrary memory effects and complex noise spectra.

Contribution

It introduces a versatile Julia toolkit for simulating non-Markovian dynamics with customizable memory effects and noise spectra, supporting diverse applications in physics.

Findings

Supports arbitrary memory effects and colored noise spectra

Enables simulations of complex open quantum and classical systems

Provides Julia notebooks for user guidance

Abstract

SpiDy.jl solves the non-Markovian stochastic dynamics of interacting classical spin vectors and harmonic oscillator networks in contact with a dissipative environment. The methods implemented allow the user to include arbitrary memory effects and colored quantum noise spectra. In this way, SpiDy.jl provides key tools for the simulation of classical and quantum open systems including non-Markovian effects and arbitrarily strong coupling to the environment. Among the wide range of applications, some examples range from atomistic spin dynamics to ultrafast magnetism and the study of anisotropic materials. We provide the user with Julia notebooks to guide them through the various mathematical methods and help them quickly set up complex simulations.