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    Squeezing and slowed quantum decoherence in the double-slit experiment

    L. S. Marinho1,2, I. G. da Paz2, and Marcos Sampaio3

    • 1Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, Brazil
    • 2Departamento de Física, Universidade Federal do Piauí, Campus Ministro Petrônio Portela, CEP 64049-550, Teresina, PI, Brazil
    • 3Departamento de Física, Universidade Federal do ABC, São Paulo, São Paulo, Brazil

    Phys. Rev. A 101, 062109 – Published 17 June, 2020

    DOI: https://doi.org/10.1103/PhysRevA.101.062109

    Abstract

    We study the slowing of the decoherence effect in the double-slit experiment by considering an initially correlated Gaussian state. The effects of the decoherence are included in a specific propagator which we use to obtain the density matrix at the detection screen. We calculate the uncertainties in the position and momentum for the density matrix as a function of the decoherence at the detection screen. We show that for a contractive initial state and specific times of propagation the state at the detection screen is squeezed in position in comparison with the standard Gaussian superposition. For this squeezed Gaussian superposition state, we observe that the fringe visibility is more robust to the decoherence in comparison with the standard Gaussian superposition. Then, we calculate the negativity of the Wigner function and study its behavior as a function of the decoherence and correlation parameters at the detection screen. We observe that the negativity decreases more slowly for the squeezed Gaussian superposition.

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