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Quantum causal correlations and non-Markovianity of quantum evolution
- Publication Year :
- 2020
- Publisher :
- arXiv, 2020.
-
Abstract
- A non-Markovianity measure for quantum channels is introduced based on causality measure - a monotone of causal (temporal) correlations - arising out of the pseudo-density matrix (PDM) formalism which treats quantum correlations in space and time on an equal footing. Using the well known damped Jaynes-Cummings model of a two-level system interacting with a bosonic reservoir at zero temperature as an example, it is shown that breakdown of monotonicity of the causality measure is associated with the revival of temporal (causal) correlations hence with the negativity of the decay rate. Also, a note on the comparison with other well known non-Markovianity measures is given.<br />Comment: 9 pages, 3 figures; Revised and corrections made
- Subjects :
- Physics
Quantum Physics
Spacetime
General Physics and Astronomy
FOS: Physical sciences
Negativity effect
Monotonic function
01 natural sciences
Quantum evolution
010305 fluids & plasmas
Formalism (philosophy of mathematics)
Monotone polygon
0103 physical sciences
Statistical physics
Zero temperature
010306 general physics
Quantum Physics (quant-ph)
Quantum
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....c120f1d9c1091a025ab896df7ce2e227
- Full Text :
- https://doi.org/10.48550/arxiv.2005.04129