Nonclassical Resources and Quantum Metrology in the Double-Morse Potential
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arXiv
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| Format: | Preprint |
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2025
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| author | Chogle, Firoz Teklu, Berihu Zubelli, Jorge Damiani, Ernesto |
| author_facet | Chogle, Firoz Teklu, Berihu Zubelli, Jorge Damiani, Ernesto |
| contents | We address the nonlinear properties of the double-Morse potential as a resource for single-mode quantum states due to its double-well structure and anharmonicity. We obtain analytical expressions for the ground-state wavefunction and the corresponding ground-state energy, using the inverse barrier-width parameter $α$ as the primary control parameter. We then assess non-Gaussianity and nonclassicality as quantitative signatures of nonlinearity and quantumness, and we find that both increase monotonically with $α$. Furthermore, we analyze the metrological performance of the model for estimating the inverse barrier-width parameter $α$. By evaluating the corresponding Fisher information, we show that position measurements are optimal and can saturate the Cramér-Rao bound. In particular, the estimation of $α$ is most precise in the shallow-well regime, where the quantum Fisher information is largest. For deep wells, enhanced sensitivity is instead obtained for the reparameterized control variable $A=2e^{-αx_0}$, provided that $x_0$ is independently calibrated. These results establish the double-Morse potential as a controllable source of non-Gaussianity and nonclassicality, with a metrological behavior that depends on the chosen estimation parameter. We highlight possible applications of this model in quantum sensing, continuous-variable quantum information, and quantum simulation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_07591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonclassical Resources and Quantum Metrology in the Double-Morse Potential Chogle, Firoz Teklu, Berihu Zubelli, Jorge Damiani, Ernesto Quantum Physics We address the nonlinear properties of the double-Morse potential as a resource for single-mode quantum states due to its double-well structure and anharmonicity. We obtain analytical expressions for the ground-state wavefunction and the corresponding ground-state energy, using the inverse barrier-width parameter $α$ as the primary control parameter. We then assess non-Gaussianity and nonclassicality as quantitative signatures of nonlinearity and quantumness, and we find that both increase monotonically with $α$. Furthermore, we analyze the metrological performance of the model for estimating the inverse barrier-width parameter $α$. By evaluating the corresponding Fisher information, we show that position measurements are optimal and can saturate the Cramér-Rao bound. In particular, the estimation of $α$ is most precise in the shallow-well regime, where the quantum Fisher information is largest. For deep wells, enhanced sensitivity is instead obtained for the reparameterized control variable $A=2e^{-αx_0}$, provided that $x_0$ is independently calibrated. These results establish the double-Morse potential as a controllable source of non-Gaussianity and nonclassicality, with a metrological behavior that depends on the chosen estimation parameter. We highlight possible applications of this model in quantum sensing, continuous-variable quantum information, and quantum simulation. |
| title | Nonclassical Resources and Quantum Metrology in the Double-Morse Potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.07591 |