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This research utilizes spinor Bose-Einstein condensates as an analog quantum simulator to model the bending vibrations and phase transitions of triatomic molecules. By engineering specific BEC states, the study demonstrates how dynamical instabilities in this system can generate significant entanglement, serving as a witness for quantum phase transitions relevant to molecular physics.
Spinor Bose-Einstein condensate as an analog simulator of molecular bending vibrations
arXiv:2505.19836v2 Announce Type: replace Abstract: We demonstrate that spinor Bose-Einstein condensates (BECs) can be operated as an analog simulator of the two-dimensional vibron model. This algebraic model describes bending vibrations of molecules and, in the case of triatomic molecules, exhibits two phases where linear and bent configurations are stabilised. Spinor BECs can be engineered to simulate states that correspond to linear or bent triatomic molecules, with the Wigner function of the BEC encoding information about the molecular configuration. We show how quantum simulations of the bending dynamics of linear molecules can be realised, and how preparing a linear configuration in the bent phase leads to a dynamical instability. In the dynamics triggered by the corresponding instability, a significant amount of entanglement is generated, and we characterise the dynamics with the squeezing parameter and the quantum Fisher information (QFI). The scaling of the non-Gaussian sensitivity, described by the difference between squeezing and QFI, grows with the system size once the spinor system crosses from the linear to the bent phase, thus serving as a dynamical witness for the quantum phase transition.
Abstract:We demonstrate that spinor Bose-Einstein condensates (BECs) can be operated as an analog simulator of the two-dimensional vibron model. This algebraic model describes bending vibrations of molecules and, in the case of triatomic molecules, exhibits two phases where linear and bent configurations are stabilised. Spinor BECs can be engineered to simulate states that correspond to linear or bent triatomic molecules, with the Wigner function of the BEC encoding information about the molecular configuration. We show how quantum simulations of the bending dynamics of linear molecules can be realised, and how preparing a linear configuration in the bent phase leads to a dynamical instability. In the dynamics triggered by the corresponding instability, a significant amount of entanglement is generated, and we characterise the dynamics with the squeezing parameter and the quantum Fisher information (QFI). The scaling of the non-Gaussian sensitivity, described by the difference between squeezing and QFI, grows with the system size once the spinor system crosses from the linear to the bent phase, thus serving as a dynamical witness for the quantum phase transition.
Quantum Physics (quant-ph); Atomic Physics (physics.atom-ph)
arXiv:2505.19836 [quant-ph]
(or arXiv:2505.19836v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2505.19836 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 270 words
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