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DY: Fachverband Dynamik und Statistische Physik

DY 6: Poster Session I

DY 6.9: Poster

Montag, 22. März 2010, 16:00–18:00, Poster B2

Spin dynamics: quantum master equation in phase space for a spin in a uniform external field — •Bernard P.J. Mulligan¹, William T. Coffey², Yuri P. Kalmykov³, and Serguey V. Titov⁴ — ¹Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — ²Trinity College Dublin, Ireland — ³Universite de Perpignan, France — ⁴Russian Academy of Sciences, Russia

The dynamics of a quantum spin in an external field is presented in the representation (phase) space of polar and azimuthal angles via a master equation for the quasiprobability distribution of spin orientations, allowing the averages of quantum mechanical spin operators to be calculated just as the classical case from the Weyl Symbol of the operator. The phase space master equation has essentially the same form as the classical Fokker-Planck equation, allowing existing solution methods (matrix continued fractions, integral relaxation times, etc.) to be used.