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Open Quantum Systems Decoherence

Solution of two level system using 3^rd order Magnus expansion

arXiv

Authors: Dawit Hiluf Hailu

Year

2016

Paper ID

42861

Status

Preprint

Abstract Read

~2 min

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Abstract

The solution of a two level system driven by a Laser in the adiabatic limit is determined using third order Magnus expansion. We made the assumption that the laser is on resonance or close to resonance with the Bohr transition. As a consequence of which we are able to obtain a Hamiltonian which commute with itself at different times. We solve the problem using the Sylvester Formula where we make use of the eigenvalues.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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The solution of a two level system driven by a Laser in the adiabatic limit is determined using third order Magnus expansion.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.05951 [2] arXiv https://arxiv.org/abs/1610.05951 [3] Publisher https://arxiv.org/abs/1610.05951

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