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arXiv · 1903.05670

Purification Hamiltonians

Jorge A. Anaya-Contreras·Arturo Zúñiga-Segundo·Héctor M. Moya-Cessa
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Abstract

We study the Jaynes-Cummings interaction when initial mixed states, for the atom or the field, are considered. The evolved mixed field density matrix is purified to a wavefunction that describes the interaction between a quantised field and an artificial four-level atom. This allows us to use the Araki-Lieb inequality to calculate the field entropy from the atomic entropy. We then generate {\it artificial} Hamiltonians that reproduce the field entropy dynamics. We finally show that more realistic Hamiltonians may be considered by using two entangled two-level atoms.

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Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Héctor M. Moya-Cessa. 2019-03-13. Purification Hamiltonians. https://arxiv.org/abs/1903.05670

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