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Open Quantum Systems Decoherence

Partition-free approach to open quantum systems in harmonic environments: an exact stochastic Liouville equation

arXiv
Authors: G. M. G. McCaul, C. D. Lorenz, L. Kantorovich

Year

2016

Paper ID

41792

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We present a partition-free approach to the evolution of density matrices for open quantum systems coupled to a harmonic environment. The influence functional formalism combined with a two-time Hubbard-Stratonovich transformation allows us to derive a set of exact differential equations for the reduced density matrix of an open system, termed the Extended Stochastic Liouville-von Neumann equation. Our approach generalises previous work based on Caldeira-Leggett models and a partitioned initial density matrix. This provides a simple, yet exact, closed-form description for the evolution of open systems from equilibriated initial conditions. The applicability of this model and the potential for numerical implementations are also discussed.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We present a partition-free approach to the evolution of density matrices for open quantum systems coupled to a harmonic environment.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1612.05466 [2] arXiv https://arxiv.org/abs/1612.05466 [3] Publisher https://arxiv.org/abs/1612.05466

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