Conservation Laws for a Thermal Reservoir Model in Open Quantum Systems
Quantum Physics
2023-05-17 v1 Mathematical Physics
math.MP
Abstract
We construct Lie point symmetries, a closed-form solution and conservation laws using a non-Noetherian approach for a specific case of the Gorini-Kossakowski-Sudarshan-Lindblad equation that has been recast for the study of non-relativistic free particles in a thermal reservoir environment. Conservation laws are constructed subsequently using the Ibragimov method via a solution to the adjoint form of the equation of motion via its corresponding scalaing symmetry. A general computational framework for obtaining all conserved vectors is exhibited some triplets of conserved quantities are calculated in full.
Cite
@article{arxiv.2305.09326,
title = {Conservation Laws for a Thermal Reservoir Model in Open Quantum Systems},
author = {Muhammad Al-Zafar Khan and Mervlyn Moodley and Francesco Petruccione},
journal= {arXiv preprint arXiv:2305.09326},
year = {2023}
}
Comments
11 pages