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The Wigner transform is the bridge between Hilbert space operators to phase-space quantities (c-numbers). Use for issues relating to the Weyl correspondence (the inverse of the Wigner transform), the Wigner function (the Wigner-transform of the density matrix) and, in general, Quantum Mechanics in phase space issues, such as the *-product, the Wigner transform of the operator multiplication operation. May also use for distributions such as the Husimi.

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According to Gardiner-Zoller (Quantum Noise), operators acting on the density matrix can be mapped via e.g. (I'm taking Wigner space as an example, but the same holds for P and Q) $$a\rho\leftrightar …
asked Apr 30 by Wouter
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I would like to visualize $W(X,P)=W(\alpha,\alpha^*)$ from a given density matrix $\hat{\rho}$ that has been obtained before e.g. from the master equation. I am especially interested in density matric …
asked Jun 6 '17 by Wouter
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If the particle number is $\hat{a}^\dagger\hat{a}\leftrightarrow|\alpha_w|^2-1/2 $, it can be mapped on the Wigner fields by assuming symmetric ordering:$|\alpha_w|^2\leftrightarrow\hat{a}^\dagger\hat …
asked Jun 13 by Wouter
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I eventually used the Clenshaw-algorithm of the QuTiP toolbox mentioned above and it works adequately and fast for my considered density matrix.
answered Jun 20 '17 by Wouter