Conservation Laws for a Thermal Reservoir Model in Open Quantum Systems
Muhammad Al-Zafar Khan, Mervlyn Moodley, Francesco Petruccione
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.
arXiv:2305.09326•May 16, 2023•0 citations