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Open Quantum Systems Decoherence Quantum Simulation

Beyond Adiabatic Elimination: Systematic Expansions

arXiv

Authors: I. L. Egusquiza

Year

2013

Paper ID

32924

Status

Preprint

Abstract Read

~2 min

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Abstract

We restate the adiabatic elimination approximation as the first term in a singular perturbation expansion. We use the invariant manifold formalism for singular perturbations in dynamical systems to identify systematic improvements on adiabatic elimination, connecting with well established quantum mechanical perturbation methods. We prove convergence of the expansions when energy scales are well separated. We state and solve the problem of hermiticity of improved effective hamiltonians.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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We restate the adiabatic elimination approximation as the first term in a singular perturbation expansion.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.0628 [2] arXiv https://arxiv.org/abs/1309.0628 [3] Publisher https://arxiv.org/abs/1309.0628

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