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Showing 1 to 3 of 3 for “"Magnus expansion"”.
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Analytic and Numerical aspects of isospectral flows
… counterpart using explicit generalisation of Magnus expansion. \par In the first part of the thesis we expand the solution of Bloch--Iserles equations, the matrix ordinary differential system of the form $ X'=[N,X^{2}],\ \ t\geq0, \ \ X(0)=X_0\in \textrm{Sym}(n),\ N\in \mathfrak{so}(n), $ …
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Numerical Case Study of an Atom-Photon Interaction in a Cavity Exploring Quantum Control
<p>We study Magnus expansion (ME) approximation scheme for the interaction between an atom and a single quantized cavity mode (Jaynes-Cumming model) in a closed quantum system in resonance or near resonance for a time-dependent coupling coefficient g(t) in both the interaction and rotating picture …
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Dinamica effettiva di sistemi quantistici driven chiusi e aperti
… the approximations. The method is based on the Magnus expansion which expresses the solution of a differential equation into an exponential form. The result of the technique is a coarse-grained effective Hamiltonian valid at low energies which is able to average out the fast dynamics and to …