TL;DR
This paper introduces a MATLAB package for simulating complex many-body quantum systems, focusing on applications in quantum optics and condensed matter, including both closed and open system dynamics.
Contribution
The authors present a MATLAB toolkit that enables simulation of various quantum systems, facilitating research and education in quantum optics and condensed matter physics.
Findings
Simulates magnetization dynamics in Ising models
Analyzes quantum phase transitions in cavity QED arrays
Models Markovian and non-Markovian open quantum system dynamics
Abstract
We develop a package of numerical simulations implemented in MATLAB to solve complex many-body quantum systems. We focus on widely used examples that include the calculation of the magnetization dynamics for the closed and open Ising model, dynamical quantum phase transition in cavity QED arrays, Markovian dynamics for interacting two-level systems, and the non-Markovian dynamics of the pure-dephasing spin-boson model. These examples will be useful for undergraduate and graduate students with a medium or high background in MATLAB, and also for researches interested in numerical studies applied to quantum optics and condensed matter systems.
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