Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Computer Physics Communications

Discontinuous Galerkin schemes for master equations modeling open quantum systems

José A. Morales Escalante

Published Aug 6, 2025• 0 citations
Publisher
DOI
10.1016/j.cpc.2025.109778

Related papers

Discontinuous Galerkin Schemes for Master Equations Modeling Open Quantum Systems

José A. Morales Escalante, Maria Gabriela Boada Gutierrez

Lecture notes in computer science•Dec 31, 2024•0 citations

Discontinuous Galerkin method with Voronoi partitioning for quantum simulation of chemistry

Fabian M. Faulstich, Xiaojie Wu, Lin Lin

arXiv:2011.00367•Research in the Mathematical Sciences•Nov 19, 2022•4 citations

NIPG-DG schemes for transformed master equations modeling open quantum systems

José A. Morales Escalante

This work presents a numerical analysis of a Discontinuous Galerkin (DG) method for a transformed master equation modeling an open quantum system: a quantum sub-system interacting with a noisy environment. It is shown that the presented transformed master equation has a reduced computational cost in comparison to a Wigner-Fokker-Planck model of the same system for the general case of non-harmonic potentials via DG schemes. Specifics of a Discontinuous Galerkin (DG) numerical scheme adequate for the system of convection-diffusion equations obtained for our Lindblad master equation in position basis are presented. This lets us solve computationally the transformed system of interest modeling our open quantum system problem. The benchmark case of a harmonic potential is then presented, for which the numerical results are compared against the analytical steady-state solution of this problem. Two non-harmonic cases are then presented: the linear and quartic potentials are modeled via our DG framework, for which we show our numerical results.

arXiv:2308.11580•Aug 22, 2023•0 citations

Reduced dynamics and the master equation of open quantum systems

Masashi Ban, Sachiko Kitajima, Fumiaki Shibata

Physics Letters A•Apr 3, 2010•25 citations

Quantum open systems dynamics via quantum diffusion equations

Da-Wei Luo, J. Q. You, Hai‐Qing Lin +3 more

Bulletin of the American Physical Society•Mar 14, 2017•0 citations

Resolving phase transitions with discontinuous Galerkin methods

Eduardo Grossi, Nicolas Wink

We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (fRG). We investigate the O(N) O ( N ) -model in the large N N limit. It is shown that the flow equation for the effective potential can be cast into a conservative form. We discuss results for the Riemann problem, as well as initial conditions leading to a first and second order phase transition. In particular, we unravel the mechanism underlying first order phase transitions, based on the formation of a shock in the derivative of the effective potential.

arXiv:1903.09503•SciPost Physics Core•Oct 25, 2023•42 citations
This work presents a numerical analysis of a Discontinuous Galerkin (DG) method for a transformed master equation modeling an open quantum system: a quantum sub-system interacting with a noisy environment. It is shown that the presented transformed master equation has a reduced computational cost in comparison to a Wigner-Fokker-Planck model of the same system for the general case of non-harmonic potentials via DG schemes. Specifics of a Discontinuous Galerkin (DG) numerical scheme adequate for the system of convection-diffusion equations obtained for our Lindblad master equation in position basis are presented. This lets us solve computationally the transformed system of interest modeling our open quantum system problem. The benchmark case of a harmonic potential is then presented, for which the numerical results are compared against the analytical steady-state solution of this problem. Two non-harmonic cases are then presented: the linear and quartic potentials are modeled via our DG framework, for which we show our numerical results.
We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (fRG). We investigate the O(N) O ( N ) -model in the large N N limit. It is shown that the flow equation for the effective potential can be cast into a conservative form. We discuss results for the Riemann problem, as well as initial conditions leading to a first and second order phase transition. In particular, we unravel the mechanism underlying first order phase transitions, based on the formation of a shock in the derivative of the effective potential.