A Simple Quantum Integro-Differential Solver (SQuIDS)

TL;DR

SQuIDS is a C++ software tool that efficiently solves quantum evolution problems involving density matrices and scalar functions, especially suited for neutrino oscillation studies and adaptable to other quantum systems.

Contribution

It introduces a flexible, semi-analytical solver framework using SU(N) basis operators for quantum evolution, with customizable classes for complex terms.

Findings

Efficiently solves quantum evolution of systems up to six dimensions.

Provides a user-extensible base class for custom non-trivial terms.

Designed primarily for neutrino oscillation but applicable broadly.

Abstract

Simple Quantum Integro-Differential Solver (SQuIDS) is a C++ code designed to solve semi-analytically the evolution of a set of density matrices and scalar functions. This is done efficiently by expressing all operators in an SU(N) basis. SQuIDS provides a base class from which users can derive new classes to include new non-trivial terms from the right hand sides of density matrix equations. The code was designed in the context of solving neutrino oscillation problems, but can be applied to any problem that involves solving the quantum evolution of a collection of particles with Hilbert space of dimension up to six.