Matter-Wave Squeezing from Gouy Phase: Toward a New Tool for Quantum Technology
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913997992755200 |
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| author | Oliveira, Thiago M. S. Marinho, Lucas S. de Brito, F. C. V. Sampaio, Marcos da Paz, Irismar G. |
| author_facet | Oliveira, Thiago M. S. Marinho, Lucas S. de Brito, F. C. V. Sampaio, Marcos da Paz, Irismar G. |
| contents | 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 $π/4$, 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 $π/2$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matter-Wave Squeezing from Gouy Phase: Toward a New Tool for Quantum Technology Oliveira, Thiago M. S. Marinho, Lucas S. de Brito, F. C. V. Sampaio, Marcos da Paz, Irismar G. Quantum Physics 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 $π/4$, 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 $π/2$ 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. |
| title | Matter-Wave Squeezing from Gouy Phase: Toward a New Tool for Quantum Technology |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.15123 |