Completely positive post-Markovian master equation via a measurement approach

By A. Shabani, Daniel A. Lidar. 2004

138 citations recorded by the source corpus.

A post-Markovian quantum master equation is derived, which includes bath memory effects via a phenomenologically introduced memory kernel kstd. 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 kstd is presented, in addition to a prescription for the experimental determination of kstd. The formalism is illustrated with examples.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/859f59db1d27d0d12d98e84abb359ba76ba80b1a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Daniel Alonso
2. I. D. Vega
3. Anil Shaji

In Atomic and Molecular Physics, and Optics

1. Daniel Alonso
2. I. D. Vega
3. Anil Shaji

Citations in the corpus

• Dynamics of non-Markovian open quantum systems (2015, background): “Another master equation that preserves complete positivity, and at the same time includes environment memory effects is the so-called post-Markovian master equation derived by Shabani and Lidar (2005) from a measurement approach.”
• Dynamics of initially entangled open quantum systems (2004, background): “The generalized master equation can be shown to reduce to the Kossakowski-Lindblad form under suitable assumptions [7, 25].”