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Accuracy of perturbative master equations.
- Source :
-
Physical Review E: Statistical, Nonlinear & Soft Matter Physics . Mar2011, Vol. 83 Issue 3-1, p311117-1-311117-5. 5p. - Publication Year :
- 2011
-
Abstract
- We consider open quantum systems with dynamics described by master equations that have perturbative expansions in the system-environment interaction. We show that, contrary to intuition, full-time solutions of order-2n accuracy require an order-(2n + 2) master equation. We give two examples of such inaccuracies in the solutions to an order-2n master equation: order-2n inaccuracies in the steady state of the system and order-2n positivity violations. We show how these arise in a specific example for which exact solutions are available. This result has a wide-ranging impact on the validity of coupling (or friction) sensitive results derived from second-order convolutionless, Nakajima-Zwanzig, Redfield, and Born-Markov master equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15393755
- Volume :
- 83
- Issue :
- 3-1
- Database :
- Academic Search Index
- Journal :
- Physical Review E: Statistical, Nonlinear & Soft Matter Physics
- Publication Type :
- Academic Journal
- Accession number :
- 83547497
- Full Text :
- https://doi.org/10.1103/PhysRevE.83.031117