Decoherence under many-body system-environment interactions: A stroboscopic representation based on a fictitiously homogenized interaction rate

Journal Article · Fri Jun 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.062116· OSTI ID:20991080

Alvarez, Gonzalo A; Danieli, Ernesto P; Levstein, Patricia R; Pastawski, Horacio M ^[1]

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1. Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, 5000 Cordoba (Argentina)

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.

• OSTI ID: 20991080
• Journal Information: Physical Review. A, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevA.75.062116; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DECAY
FERMIONS
INJECTION
INTERACTIONS
MANY-BODY PROBLEM
NUCLEAR MAGNETIC RESONANCE
NUMERICAL SOLUTION
PROPAGATOR
QUANTUM DECOHERENCE
SPIN
TRANSFORMATIONS