The formation of entangled Schrödinger cat-like states in the process of spontaneous parametric down-conversion
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914437921767424 |
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| author | Singh, Ranjit Teretenkov, Alexander E. |
| author_facet | Singh, Ranjit Teretenkov, Alexander E. |
| contents | We investigate entangled Schrödinger cat-like states (SCLSs) in degenerate and non-degenerate spontaneous parametric down-conversion (SPDC) with a fully quantized, depleted pump. Our fully quantum treatment, visualized via Wigner functions, reveals non-Gaussian features and interference patterns absent in semiclassical models. For degenerate SPDC, we demonstrate significant squeezing (up to $4.04\,\mathrm{dB}$) and robust super-Poissonian statistics in both non-dissipative and dissipative regimes. Extending to non-degenerate SPDC, we confirm that pump quantization also generates non-Gaussian states in all modes and yields a higher-dimensional entanglement structure, evidenced by a larger Schmidt number ($K^{(\mathrm{ND})} \approx 10.38$) compared to the degenerate case ($K \approx 1.93$). Our approach captures critical dynamics like energy exchange and phase-dependent evolution. These entangled SCLSs, non-Gaussian states realizable in $χ^{(2)}$ media at moderate intensities and offering advantages over $χ^{(3)}$-based schemes, are promising resources for quantum sensing and information processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14526 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The formation of entangled Schrödinger cat-like states in the process of spontaneous parametric down-conversion Singh, Ranjit Teretenkov, Alexander E. Quantum Physics We investigate entangled Schrödinger cat-like states (SCLSs) in degenerate and non-degenerate spontaneous parametric down-conversion (SPDC) with a fully quantized, depleted pump. Our fully quantum treatment, visualized via Wigner functions, reveals non-Gaussian features and interference patterns absent in semiclassical models. For degenerate SPDC, we demonstrate significant squeezing (up to $4.04\,\mathrm{dB}$) and robust super-Poissonian statistics in both non-dissipative and dissipative regimes. Extending to non-degenerate SPDC, we confirm that pump quantization also generates non-Gaussian states in all modes and yields a higher-dimensional entanglement structure, evidenced by a larger Schmidt number ($K^{(\mathrm{ND})} \approx 10.38$) compared to the degenerate case ($K \approx 1.93$). Our approach captures critical dynamics like energy exchange and phase-dependent evolution. These entangled SCLSs, non-Gaussian states realizable in $χ^{(2)}$ media at moderate intensities and offering advantages over $χ^{(3)}$-based schemes, are promising resources for quantum sensing and information processing. |
| title | The formation of entangled Schrödinger cat-like states in the process of spontaneous parametric down-conversion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.14526 |