Decoherence under many-body system-environment interactions: A stroboscopic representation based on a fictitiously homogenized interaction rate | Phys. Rev. A 75, 062116 (2007)
Decoherence under many-body system-environment interactions: A stroboscopic representation based on a fictitiously homogenized interaction rate
Gonzalo A. Álvarez, Ernesto P. Danieli, Patricia R. Levstein, and Horacio M. Pastawski*
Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina
Received 4 January 2007; published 26 June 2007; publisher error corrected 29 June 2007
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.
© 2007 The American Physical Society