dorsal/arxiv
View SchemaCompletely Positive Post-Markovian Master Equation via a Measurement Approach
| Authors | Alireza Shabani, Daniel A. Lidar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404077 |
| URL | https://arxiv.org/abs/quant-ph/0404077 |
| DOI | 10.1103/PhysRevA.71.020101 |
| Journal | Phys. Rev. A 71, 020101(R) (2005) |
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.
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"abstract": "A new post-Markovian quantum master equation is derived, that includes bath\nmemory effects via a phenomenologically introduced memory kernel k(t). The\nderivation uses as a formal tool a probabilistic single-shot bath-measurement\nprocess performed during the coupled system-bath evolution. The resulting\nanalytically solvable master equation interpolates between the exact\nNakajima-Zwanzig equation and the Markovian Lindblad equation. A necessary and\nsufficient condition for complete positivity in terms of properties of k(t) is\npresented, in addition to a prescription for the experimental determination of\nk(t). The formalism is illustrated with examples.",
"arxiv_id": "quant-ph/0404077",
"authors": [
"Alireza Shabani",
"Daniel A. Lidar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.020101",
"journal_ref": "Phys. Rev. A 71, 020101(R) (2005)",
"title": "Completely Positive Post-Markovian Master Equation via a Measurement Approach",
"url": "https://arxiv.org/abs/quant-ph/0404077"
},
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