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Physical Review A

Publisher's Note: Decoherence under many-body system-environment interactions: A stroboscopic representation based on a fictitiously homogenized interaction rate [Phys. Rev. A75, 062116 (2007)]

Gonzalo A. Álvarez, Ernesto P. Danieli, Patricia R. Levstein, Horacio M. Pastawski

Published Jul 5, 2007• 0 citations
Publisher
DOI
10.1103/physreva.76.019901

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An environment interacting with portions of a system leads to multiexponential interaction rates. Within the Keldysh formalism, we fictitiously homogenize the system-environment interaction yielding a uniform decay rate facilitating the evaluation of the propagators. Through an injection procedure we neutralize the fictitious interactions. This technique justifies a stroboscopic representation of the system-environment interaction which is useful for numerical implementation and converges to the natural continuous process. We apply this procedure to a fermionic two-level system and use the Jordan-Wigner transformation to solve a two-spin swapping gate in the presence of a spin environment.