Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses
We describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displacements of these masses are much smaller than the initial separation between their centers, the displacement-to-separation ratio is a natural parameter in which the gravi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-05-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-05-15-1008/pdf/ |
| _version_ | 1797826602151706624 |
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| author | Ankit Kumar Tanjung Krisnanda Paramasivan Arumugam Tomasz Paterek |
| author_facet | Ankit Kumar Tanjung Krisnanda Paramasivan Arumugam Tomasz Paterek |
| author_sort | Ankit Kumar |
| collection | DOAJ |
| description | We describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displacements of these masses are much smaller than the initial separation between their centers, the displacement-to-separation ratio is a natural parameter in which the gravitational potential can be expanded. We show that entanglement in such experiments is sensitive to initial 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 information perspective, the results find applications as a momentum witness of non-Gaussian entanglement. Our methods are versatile and apply to any number of central interactions expanded to any order. |
| first_indexed | 2024-04-09T12:35:01Z |
| format | Article |
| id | doaj.art-1450a379baec4ade9478b38e98ebdf0c |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-09T12:35:01Z |
| publishDate | 2023-05-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-1450a379baec4ade9478b38e98ebdf0c2023-05-15T13:36:32ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-05-017100810.22331/q-2023-05-15-100810.22331/q-2023-05-15-1008Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum MassesAnkit KumarTanjung KrisnandaParamasivan ArumugamTomasz PaterekWe describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displacements of these masses are much smaller than the initial separation between their centers, the displacement-to-separation ratio is a natural parameter in which the gravitational potential can be expanded. We show that entanglement in such experiments is sensitive to initial 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 information perspective, the results find applications as a momentum witness of non-Gaussian entanglement. Our methods are versatile and apply to any number of central interactions expanded to any order.https://quantum-journal.org/papers/q-2023-05-15-1008/pdf/ |
| spellingShingle | Ankit Kumar Tanjung Krisnanda Paramasivan Arumugam Tomasz Paterek Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses Quantum |
| title | Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses |
| title_full | Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses |
| title_fullStr | Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses |
| title_full_unstemmed | Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses |
| title_short | Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses |
| title_sort | continuous variable entanglement through central forces application to gravity between quantum masses |
| url | https://quantum-journal.org/papers/q-2023-05-15-1008/pdf/ |
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