The paper is an analysis of a special class of the master equations such that the Dissipation superoperator is L(ρ) = [M, [M, ρ]], where M is an hermitian andunitary operator and ρ a density matrix. It mainly investigates the dynamics ofρ and its properties such as boundness of the operators of the master equation,the eigenvalues of these operators, the purity of the states, the steady states. In the study of the temporal evolution of ρ it has been done an analysis of Decoherence free subspaces(DFS). A special attention is given to von Neumannentropy. For what it regards this last topic there are also specific referencesto the camel-like behaviour, a phenomenon regarding the entropy that happenswhen certain conditions of the dissipation superaoperator are not satisfied.There are Python simulations of the expectation values of some operators, andof the von Neumann entropy, and Linear Entropy.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:lnu-113161 |
| Date | January 2022 |
| Creators | Pietro, Locatelli |
| Publisher | Linnéuniversitetet, Institutionen för matematik (MA) |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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