Coding closed and open quantum systems in MATLAB: Applications in quantum optics and condensed matter

Research output: Contribution to journalArticlepeer-review

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-level background in MATLAB, and also for researchers interested in numerical studies applied to quantum optics and condensed matter systems.

Original languageEnglish
Article number045404
JournalEuropean Journal of Physics
Volume41
Issue number4
DOIs
StatePublished - Jul 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020 IOP Publishing Ltd.

ASJC Scopus Subject Areas

  • General Physics and Astronomy

Keywords

  • many-body quantum systems
  • MATLAB
  • numerical simulation
  • open quantum systems
  • quantum mechanics

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