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Completely positive dynamical semigroups of <i>N</i>-level systems
Journal of Mathematical Physics · 1976 · Vol. 17(5) · pp. 821–825
Vittorio Gorini✉(The University of Texas at Austin)Andrzej Kossakowski(The University of Texas at Austin)E. C. G. Sudarshan(Indian Institute of Science Bangalore)
Abstract
We establish the general form of the generator of a completely positive dynamical semigroup of an N-level quantum system, and we apply the result to derive explicit inequalities among the physical parameters characterizing the Markovian evolution of a 2-level system.
Cold Atom Physics and Bose-Einstein CondensatesQuantum many-body systemsQuantum chaos and dynamical systemsSemigroupMathematicsDynamical systems theoryGenerator (circuit theory)Markov processQuantumQuantum systemPure mathematicsPhysical systemApplied mathematics
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References
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Annals of Physics · 1971 · 745 citations
Lectures in Theoretical Physics
American Journal of Physics · 1962 · 2,942 citations
Markovian master equations
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Physical Review · 1946 · 3,465 citations
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Completely positive dynamical semigroups of <i>N</i>-level systems
Journal of Mathematical Physics · 1976 · 3,791 citations
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