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Open Quantum Systems Decoherence

The Accuracy of Perturbative Master Equations

arXiv
Authors: Chris H. Fleming, Nick I. Cummings

Year

2010

Paper ID

10717

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

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, and 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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • We consider open quantum systems with dynamics described by master equations that have perturbative expansions in the system-environment interaction.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.5025 [2] arXiv https://arxiv.org/abs/1010.5025 [3] Publisher https://arxiv.org/abs/1010.5025

Local Citation Graph (Related-Paper Links)

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