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Open Quantum Systems Decoherence

Correlated projection operator approach to non-Markovian dynamics in spin baths

arXiv
Authors: Jan Fischer, Heinz-Peter Breuer

Year

2007

Paper ID

49480

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

The dynamics of an open quantum system is usually studied by performing a weak-coupling and weak-correlation expansion in the system-bath interaction. For systems exhibiting strong couplings and highly non-Markovian behavior this approach is not justified. We apply a recently proposed correlated projection superoperator technique to the model of a central spin coupled to a spin bath via full Heisenberg interaction. Analytical solutions to both the Nakajima-Zwanzig and the time-convolutionless master equation are determined and compared with the results of the exact solution. The correlated projection operator technique significantly improves the standard methods and can be applied to many physical problems such as the hyperfine interaction in a quantum dot.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • The dynamics of an open quantum system is usually studied by performing a weak-coupling and weak-correlation expansion in the system-bath interaction.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.0410 [2] arXiv https://arxiv.org/abs/0708.0410 [3] Publisher https://arxiv.org/abs/0708.0410

Local Citation Graph (Related-Paper Links)

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