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Biology And Medicine Basic Biological Sciences

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

Authors: Alvarez, Gonzalo A. Danieli, Ernesto P. Levstein, Patricia R. Pastawski, Horacio M. [Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, 5000 Cordoba (Argentina)]
 
Abstract: 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.
Publication Date: 15 Jun 2007
Resource Type: Journal Article
Resource Relation: Journal: Physical Review. A; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.75.062116; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication: United States
Language: English
Keywords relating to this report:
DECAY
FERMIONS
INJECTION
INTERACTIONS
MANY-BODY PROBLEM
NUCLEAR MAGNETIC RESONANCE
NUMERICAL SOLUTION
PROPAGATOR
QUANTUM DECOHERENCE
SPIN
TRANSFORMATIONS

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