Nonclassical State Generation and Quantum Metrology in the Double-Morse Potential
- URL: http://arxiv.org/abs/2511.07591v1
- Date: Wed, 12 Nov 2025 01:05:59 GMT
- Title: Nonclassical State Generation and Quantum Metrology in the Double-Morse Potential
- Authors: Firoz Chogle, Berihu Teklu, Jorge Zubelli, Ernesto Damiani,
- Abstract summary: We derive the ground state wave function and the associated energy spectrum analytically, using the asymmetry (width parameter) $$ as the primary control parameter.<n>We assess the non-Gaussianity and non-classicality measures, quantifying their nonlinearity and quantum behavior.
- Score: 1.7449994820642136
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this paper, we investigate the nonlinear properties of the double-Morse potential as a possible resource for single-mode quantum states because of its double-well structure and anharmonicity. We derive the ground state wave function and the associated energy spectrum analytically, using the asymmetry (width parameter) $α$ as the primary control parameter. These results show a systematic and evident influence on $α$. We assess the non-Gaussianity and non-classicality measures, quantifying their nonlinearity and quantum behavior. In particular, we discover that both metrics rise monotonically with $α$. Furthermore, we examine the metrological performance for estimating $α$. By calculating the pertinent Fisher information and building workable estimators, we show that optimal strategies can saturate the Cramér-Rao bound, with straightforward position measurements on shallow wells already producing high precision. These results collectively demonstrate that the double-Morse potential is a genuine, controllable source of non-Gaussianity, whose non-classicality and metrological applications increase with $α$. We highlight the potential applications of this model in real-world quantum technologies and discuss the implications for continuous-variable quantum information processing and computation.
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