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Frontiers in Optics

Self-healing of Spatial Quantum Correlations in Bright Structured Twin Beams

Jerin A. Thachil, Chirang R Patel, Ashok Kumar

Published Jan 1, 2025• 0 citations
Publisher

Abstract

We investigate the healing of transverse spatial quantum correlations in trun-cated bright structured twin beams generated via four-wave mixing in atomic vapor, high-lighting their potential for high-dimensional quantum imaging and quantum information processing.
DOI
10.1364/fio.2025.jd1a.50

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Quantum correlations in the spatial domain hold great promise for applications in quantum imaging, quantum cryptography and quantum information processing, owing to the infinite dimensionality of the associated Hilbert space. Here, we present a theoretical investigation, complemented by experimental measurements, of the propagation dynamics of the spatial quantum correlations in bright structured twin beams generated via a four-wave mixing process in a double-ΛΛΛ configuration in atomic vapor. We derive an analytical expression describing the evolution of the spatial quantum correlation distribution from the near field to the far field. To qualitatively support the theoretical predictions, we perform experiments measuring intensity-difference noise between different spatial subregions of the twin beams as they propagate from the near field to the far field. The presence of quantum correlations is manifested as squeezing in the intensity difference noise measurement. With a Gaussian pump, we observe localized correlations in the near field and localized anti-correlations in the far field. In contrast, with a structured Laguerre-Gaussian pump, there is a transition from localized correlations in the near field to delocalized correlations in the far field. The present results offer valuable insights into the fundamental behavior of spatial quantum correlations and open possibilities for potential applications in quantum information, quantum imaging and sensing.
We generate spatially multimode twin beams using 4-wave mixing in a hot atomic vapor in a phase-insensitive traveling-wave amplifier configuration. The far-field coherence area measured at 3.5 MHz is shown to be much smaller than the angular bandwidth of the process and bright twin images with independently quantum-correlated subareas can be generated with little distortion. The available transverse degrees of freedom form a high-dimensional Hilbert space that we use to produce quantum-correlated twin beams with finite orbital angular momentum.
The spatial degree of freedom of quantum states of light can offer new possibilities for imaging and sensing applications, such as enhanced optical resolution, noiseless image amplification, and enhanced beam positioning. In order to take full advantage of the spatial degree of freedom for practical applications, it is necessary to control the quantum correlations between the spatial modes that make up a quantum state of light. In this talk, I will present our study of the spatial quantum correlations in bright entangled twin beams and show that it is possible to obtain full control over their distribution.