Gouy phase and matter waves

Paz, I. G. da; Nemes, M. C.; Faria, J. G. Peixoto de

doi:10.1088/1742-6596/84/1/012016

Cited by 5 publications

(1 citation statement)

References 28 publications

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“…Gouy phase is a wave phenomenon that appears when waves are confined transversely to their propagation direction, such as in the case of lens focusing and diffraction through slits. It was first observed for classical light waves 1 , 2 and it has been recently investigated for the transverse confinement of matter waves 3 – 6 . The Gouy phase and its properties have been extensively studied 7 – 10 , and the acquired phase is known to depend on the type of transversal confinement and the geometry of the waves.…”

Section: Introductionmentioning

confidence: 99%

Gouy phase and quantum interference with cross-Wigner functions for matter-waves

Marinho,

Dieguez,

Vieira

et al. 2024

Sci Rep

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The Gouy phase is essential for accurately describing various wave phenomena, ranging from classical electromagnetic waves to matter waves and quantum optics. In this work, we employ phase-space methods based on the cross-Wigner transformation to analyze spatial and temporal interference in the evolution of matter waves characterized initially by a correlated Gaussian wave packet. First, we consider the cross-Wigner of the initial wave function with its free evolution, and second for the evolution through a double-slit arrangement. Different from the wave function which acquires a global Gouy phase, we find that the cross-Wigner acquires a Gouy phase difference due to different evolution times. The results suggest that temporal like-Gouy phase difference is important for an accurate description of temporal interference. Furthermore, we propose a technique based on the Wigner function to reconstruct the cross-Wigner from the spatial intensity interference term in a double-slit experiment with matter waves.

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Section: Introductionmentioning

confidence: 99%

Gouy phase and quantum interference with cross-Wigner functions for matter-waves

Marinho,

Dieguez,

Vieira

et al. 2024

Sci Rep

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Indirect evidence for the Gouy phase for matter waves

et al. 2010

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We show that the well known geometric phase, the Gouy phase in optics can be defined for matter waves in vacuum as well. In particular we show that the underlying physics for the "matter waves" Gouy phase is the generalized Schrödinger-Robertson uncertainty principle, more specifically, the off diagonal elements of the covariance matrix. Recent experiments involving the diffraction of fullerene molecules and the uncertainty principle are shown to be quantitatively consistent with the existence of a Gouy phase for matter waves.

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Atomic focusing by quantum fields: Entanglement properties

et al. 2014

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The coherent manipulation of the atomic matter waves is of great interest both in science and technology. In order to study how an atom optic device alters the coherence of an atomic beam, we consider the quantum lens proposed by Averbukh et al [1] to show the discrete nature of the electromagnetic field. We extend the analysis of this quantum lens to the study of another essentially quantum property present in the focusing process, i.e., the atom-field entanglement, and show how the initial atomic coherence and purity are affected by the entanglement. The dynamics of this process is obtained in closed form. We calculate the beam quality factor and the trace of the square of the reduced density matrix as a function of the average photon number in order to analyze the coherence and purity of the atomic beam during the focusing process.

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Gouy phase and matter waves

Cited by 5 publications

References 28 publications

Gouy phase and quantum interference with cross-Wigner functions for matter-waves

Gouy phase and quantum interference with cross-Wigner functions for matter-waves

Indirect evidence for the Gouy phase for matter waves

Atomic focusing by quantum fields: Entanglement properties

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