We discuss a parameter estimation problem using quantum decohenrece in thedouble-slit interferometer. In the research of quantum probe, its dynamics hasbeen described by quantum master equation. In this paper, we consider aparticle coupled to a massive scalar field after the particle passing throughthe double slit. The dynamics of this model is solved with a non-perturbativemethod and allows us to analyze the estimation problem which cannot be treatedby maser equation. The scalar field induces the loss of the fringe pattern ofthe particle and the fringe pattern depends on the field mass and coupling. Toevaluate the contrast and the estimation precision obtained from the pattern,we introduce the interferometric visibility and the Fisher information matrixof the field mass and coupling. Using the fringe pattern observed on thedistant screen, we derive a simple relation between the visibility and theFisher matrix. Also if we focus on the estimation precision of the mass, thenwe find that the Fisher information characterizes the wave-particle duality inthe double-slit interferometer.
展开▼
