Related papers: Conservation Laws for a Thermal Reservoir Model in Open Quantum Systems

Conservation Laws for a Thermal Reservoir Model in Open Quantum Systems

URL: http://arxiv.org/abs/2305.09326v1
Date: Tue, 16 May 2023 10:01:34 GMT
Title: Conservation Laws for a Thermal Reservoir Model in Open Quantum Systems
Authors: Muhammad Al-Zafar Khan, Mervlyn Moodley, Francesco Petruccione
Abstract summary: We construct Lie point symmetries using a non-Noetherian approach for a specific case of the Gorini-Kossakowski-Sudarshan-Lindblad equation. Conservation laws are constructed via a solution to the adjoint form of the equation of motion via its corresponding scalaing symmetry.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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