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Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses
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DOI：10.22331/q-2023-05-15-1008.png)
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We describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displace-ments of these masses are much smaller than the initial separation between their centers, the displacement-to-separation ratio is a nat-ural parameter in which the gravitational po-tential can be expanded. We show that entan-glement in such experiments is sensitive to ini-tial relative momentum only when the system evolves into non-Gaussian states, i.e., when the potential is expanded at least up to the cubic term. A pivotal role of force gradient as the dominant contributor to position-momentum correlations is demonstrated. We establish a closed-form expression for the entanglement gain, which shows that the contribution from the cubic term is proportional to momentum and from the quartic term is proportional to momentum squared. From a quantum infor-mation perspective, the results find applica-tions as a momentum witness of non-Gaussian entanglement. Our methods are versatile and apply to any number of central interactions ex-panded to any order.
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IF:
5.4
论文数:
974
被引数:
1.0W
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