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Open Quantum Systems Decoherence

Mappings of open quantum systems onto chain representations and Markovian embeddings

arXiv
Authors: M. P. Woods, R. Groux, A. W. Chin, S. F. Huelga, M. B. Plenio

Year

2011

Paper ID

29589

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

We derive a sequence of measures whose corresponding Jacobi matrices have special properties and a general mapping of an open quantum system onto 1D semi infinite chains with only nearest neighbour interactions. Then we proceed to use the sequence of measures and the properties of the Jacobi matrices to derive an expression for the spectral density describing the open quantum system when an increasing number of degrees of freedom in the environment have been embedded into the system. Finally, we derive convergence theorems for these residual spectral densities.

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  • We derive a sequence of measures whose corresponding Jacobi matrices have special properties and a general mapping of an open quantum system onto 1D semi infinite chains with...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1111.5262 [2] arXiv https://arxiv.org/abs/1111.5262 [3] Publisher https://arxiv.org/abs/1111.5262

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