Local Entanglement of Electrons in 1D Hydrogen Molecule
The quantum entanglement entropy of the electrons in a one-dimensional hydrogen molecule is quantified locally using an appropriate partitioning of the two-dimensional configuration space. Both the global and the local entanglement entropy exhibit a monotonic increase when increasing the inter-nucle...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/9/1308 |
| _version_ | 1797580192384811008 |
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| author | Ivan P. Christov |
| author_facet | Ivan P. Christov |
| author_sort | Ivan P. Christov |
| collection | DOAJ |
| description | The quantum entanglement entropy of the electrons in a one-dimensional hydrogen molecule is quantified locally using an appropriate partitioning of the two-dimensional configuration space. Both the global and the local entanglement entropy exhibit a monotonic increase when increasing the inter-nuclear distance, while the local entropy remains peaked in the middle between the nuclei with its width decreasing. Our findings show that at the inter-nuclear distance where a stable hydrogen molecule is formed, the quantum entropy shows no peculiarity thus indicating that the entropy and the energy measures display different sensitivity with respect to the interaction between the two identical electrons involved. One possible explanation is that the calculation of the quantum entropy does not account explicitly for the distance between the nuclei, which contrasts to the total energy calculation where the energy minimum depends decisively on that distance. The numerically exact and the time-dependent quantum Monte Carlo calculations show close results. |
| first_indexed | 2024-03-10T22:46:54Z |
| format | Article |
| id | doaj.art-0644ad145e474739bf948f622fb8fc27 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T22:46:54Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0644ad145e474739bf948f622fb8fc272023-11-19T10:35:48ZengMDPI AGEntropy1099-43002023-09-01259130810.3390/e25091308Local Entanglement of Electrons in 1D Hydrogen MoleculeIvan P. Christov0Physics Department, Sofia University, 1164 Sofia, BulgariaThe quantum entanglement entropy of the electrons in a one-dimensional hydrogen molecule is quantified locally using an appropriate partitioning of the two-dimensional configuration space. Both the global and the local entanglement entropy exhibit a monotonic increase when increasing the inter-nuclear distance, while the local entropy remains peaked in the middle between the nuclei with its width decreasing. Our findings show that at the inter-nuclear distance where a stable hydrogen molecule is formed, the quantum entropy shows no peculiarity thus indicating that the entropy and the energy measures display different sensitivity with respect to the interaction between the two identical electrons involved. One possible explanation is that the calculation of the quantum entropy does not account explicitly for the distance between the nuclei, which contrasts to the total energy calculation where the energy minimum depends decisively on that distance. The numerically exact and the time-dependent quantum Monte Carlo calculations show close results.https://www.mdpi.com/1099-4300/25/9/1308quantum entanglementhydrogen moleculequantum Monte Carlo |
| spellingShingle | Ivan P. Christov Local Entanglement of Electrons in 1D Hydrogen Molecule Entropy quantum entanglement hydrogen molecule quantum Monte Carlo |
| title | Local Entanglement of Electrons in 1D Hydrogen Molecule |
| title_full | Local Entanglement of Electrons in 1D Hydrogen Molecule |
| title_fullStr | Local Entanglement of Electrons in 1D Hydrogen Molecule |
| title_full_unstemmed | Local Entanglement of Electrons in 1D Hydrogen Molecule |
| title_short | Local Entanglement of Electrons in 1D Hydrogen Molecule |
| title_sort | local entanglement of electrons in 1d hydrogen molecule |
| topic | quantum entanglement hydrogen molecule quantum Monte Carlo |
| url | https://www.mdpi.com/1099-4300/25/9/1308 |
| work_keys_str_mv | AT ivanpchristov localentanglementofelectronsin1dhydrogenmolecule |