Parameter estimation by decoherence in the double-slit experiment

Akira Matsumura, Taishi Ikeda, Shingo Kukita

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

We discuss a parameter estimation problem using quantum decoherence in the double-slit interferometer. We consider a particle coupled to a massive scalar field after the particle passing through the double slit and solve the dynamics non-perturbatively for the coupling by the WKB approximation. This allows us to analyze the estimation problem which cannot be treated by master equation used in the research of quantum probe. In this model, the scalar field reduces the interference fringes of the particle and the fringe pattern depends on the field mass and coupling. To evaluate the contrast and the estimation precision obtained from the pattern, we introduce the interferometric visibility and the Fisher information matrix of the field mass and coupling. For the fringe pattern observed on the distant screen, we derive a simple relation between the visibility and the Fisher matrix. Also, focusing on the estimation precision of the mass, we find that the Fisher information characterizes the wave-particle duality in the double-slit interferometer.

本文言語英語
ページ(範囲)1571-1580
ページ数10
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
382
24
DOI
出版ステータス出版済み - 6 19 2018
外部発表はい

All Science Journal Classification (ASJC) codes

  • 物理学および天文学(全般)

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