Stationary photon-atom entanglement and flow equation
Yuichi Itto (1), Sumiyoshi Abe (1)(2)((1)Mie University,, Japan,(2)Institut Superieur des Materiaux et Mecaniques Avances, Le Mans,, France)

TL;DR
This paper explores stationary photon-atom entanglement using flow equations in the Jaynes-Cummings model, constructing unitary transformations and analyzing entanglement flow, potentially advancing quantum-state engineering techniques.
Contribution
It introduces a novel application of flow equations to generate and analyze stationary entanglement in photon-atom systems, with explicit construction of transformations and measurement operators.
Findings
Constructed a nonlocal continuous unitary transformation.
Analyzed the flow of entanglement entropy.
Discussed implementation strategies for the unitary operation.
Abstract
Stationary photon-atom entanglement is discussed by applying the method of flow equation to the Jaynes-Cummings model. A nonlocal continuous unitary transformation is explicitly constructed and the associated positive operator-valued measures for the photons and atom are obtained. Then, flow of the entanglement entropy is analyzed. A comment is also made on implementing the unitary operation in the method of flow equation. This method may offer a new strategy for quantum-state engineering.
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