Matter-Wave Squeezing from Gouy Phase: Toward a New Tool for Quantum Technology
Abstract
We investigate the Gouy phase emerging from the time evolution of confined matter waves in a harmonic potential. Specifically, we analyze the quantum dynamics of a Gaussian wavepacket that exhibits position-momentum correlations. By tuning the parameters governing its evolution, we reveal intriguing effects, with a particular focus on squeezing. Notably, during the wavepacket evolution quantum spreading and squeezing processes emerge, giving rise to Gouy phase contributions of , establishing a clear link between the Gouy phase and a purely quantum phenomenon. Furthermore, the interplay between wavepacket squeezing and one-dimensional spreading leads to a total Gouy phase accumulation of in an oscillation period. Both squeezing and Gouy phase have individually proven valuable in state engineering and quantum metrology. By demonstrating a direct, controllable relationship between these two fundamental processes, our findings expand the realm of quantum-enhanced technologies, including quantum sensing and precision measurement.
Cite
@article{arxiv.2504.15123,
title = {Matter-Wave Squeezing from Gouy Phase: Toward a New Tool for Quantum Technology},
author = {Thiago M. S. Oliveira and Lucas S. Marinho and F. C. V. de Brito and Marcos Sampaio and Irismar G. da Paz},
journal= {arXiv preprint arXiv:2504.15123},
year = {2025}
}