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Entanglement "Trails" and Fringe Visibility in the Electron Double-Slit Experiment: An Open-System Treatment of Interference and Decoherence

Masked Author, Michael W Barry

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.25545.81763

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We present a theoretical study of photoelectron emission of a homonuclear molecule by an attosecond xuv pulse, which can be regarded as a natural double-slit experiment. We show that attosecond electron motion inside the molecule opens one to two 'slits' for photoionization. Interference fringes in the angle-resolved photoelectron momentum distributions exhibit varying visibility (V), depending on the degree of which-path information (P). The complementarity relation, P2 + V2 ≤ 1, is verified in the time-dependent molecule double-slit experiment. Hence, the electron motion can be easily mapped out by measuring the interference visibility. This opens up the prospect of employing interferometric techniques to probe ultrafast intramolecular electronic motions.
When individual particles pass through a double slit, a fringe pattern appears on a screen. If an observer detects the path of the particle, the interference fringes disappear. This is called the quantum decoherence. In this paper, we discuss a parameter estimation problem using the quantum decohenrece in the double-slit experiment. As a simple model, we consider a massive scalar field interacting with the particle which have passed through the double slit. The scalar field, as well as the observer, can induce the loss of the fringe pattern of the particle. Because the interference fringes of the particle depend on the field mass and coupling, we can estimate the field parameters from the fringes. For qualitative analysis, we introduce the interferometric visibility of the fringe pattern and the Fisher information (FI) matrix of the field mass and coupling. Using the fringe pattern observed on the distant screen, we derive a simple relation between the visibility and the FI matrix. Also if we focus on FI of the mass, then we find that FI characterizes the wave-particle duality in the double-slit experiment.
A coherent superposition of two Gaussian wavepackets, which freely evolves in time, gives rise to an interference pattern similar to that of the single-particle double-slit Young's experiment. In this paper we show that fringe visibility can be reduced by spontaneous decoherence, which can also destroy quantum coherence when interaction between a system and its surroundings can be neglected. This decoherence is due to fluctuations in the evolution time and, in general, cannot be achieved when simple classical averages are considered. We compare our theoretical results with a C 60 fullerenes interference experiment, where thermal decoherence is not relevant, but the fringe visibility is actually reduced.