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Article overview
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Completely Positive Post-Markovian Master Equation via a Measurement Approach | Alireza Shabani
; Daniel A. Lidar
; | Date: |
13 Apr 2004 | Journal: | Phys. Rev. A 71, 020101(R) (2005) DOI: 10.1103/PhysRevA.71.020101 | Subject: | quant-ph | Affiliation: | Center for Quantum Information and Quantum Control, University of Toronto | Abstract: | A new post-Markovian quantum master equation is derived, that includes bath memory effects via a phenomenologically introduced memory kernel k(t). The derivation uses as a formal tool a probabilistic single-shot bath-measurement process performed during the coupled system-bath evolution. The resulting analytically solvable master equation interpolates between the exact Nakajima-Zwanzig equation and the Markovian Lindblad equation. A necessary and sufficient condition for complete positivity in terms of properties of k(t) is presented, in addition to a prescription for the experimental determination of k(t). The formalism is illustrated with examples. | Source: | arXiv, quant-ph/0404077 | Services: | Forum | Review | PDF | Favorites |
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