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, Horacio M. Pastawski
2007 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... 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.
doi:10.1103/physreva.75.062116 fatcat:th7zshaltnhrrf3yvoyc6brx5a