Mode entanglement in fermionic and bosonic Harmonium
Mode entanglement in many-body quantum systems is an active area of research. It provides crucial insight into the suitability of many-body systems for quantum information processing tasks. Local super-selection rules must be taken into account when assessing the amount of physically accessible enta...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad240f |
| _version_ | 1827309479158349824 |
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| author | Jan Ole Ernst Felix Tennie |
| author_facet | Jan Ole Ernst Felix Tennie |
| author_sort | Jan Ole Ernst |
| collection | DOAJ |
| description | Mode entanglement in many-body quantum systems is an active area of research. It provides crucial insight into the suitability of many-body systems for quantum information processing tasks. Local super-selection rules must be taken into account when assessing the amount of physically accessible entanglement. This requires amending well-established entanglement measures by incorporating local parity and local particle number constraints. In this paper, we report on mode entanglement present in the analytically solvable system of N -Harmonium. To the knowledge of the authors, this is the first analytic study of the physically accessible mode and mode-mode entanglement of an interacting many-body system in a continuous state space. We find that super-selection rules dramatically reduce the amount of physically accessible entanglement, which vanishes entirely in some cases. Our results strongly suggest the need to re-evaluate intra and inter-mode entanglement in other fermionic and bosonic systems. |
| first_indexed | 2024-04-24T19:42:09Z |
| format | Article |
| id | doaj.art-92c4eeb18b5345ea9e936e5f5d505292 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-04-24T19:42:09Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-92c4eeb18b5345ea9e936e5f5d5052922024-03-25T10:39:06ZengIOP PublishingNew Journal of Physics1367-26302024-01-0126303304210.1088/1367-2630/ad240fMode entanglement in fermionic and bosonic HarmoniumJan Ole Ernst0https://orcid.org/0000-0001-5137-828XFelix Tennie1https://orcid.org/0000-0001-9399-710XDepartment of Physics, Clarendon Laboratory, University of Oxford , Parks Road, Oxford OX13PU, United KingdomDepartment of Physics, Clarendon Laboratory, University of Oxford , Parks Road, Oxford OX13PU, United KingdomMode entanglement in many-body quantum systems is an active area of research. It provides crucial insight into the suitability of many-body systems for quantum information processing tasks. Local super-selection rules must be taken into account when assessing the amount of physically accessible entanglement. This requires amending well-established entanglement measures by incorporating local parity and local particle number constraints. In this paper, we report on mode entanglement present in the analytically solvable system of N -Harmonium. To the knowledge of the authors, this is the first analytic study of the physically accessible mode and mode-mode entanglement of an interacting many-body system in a continuous state space. We find that super-selection rules dramatically reduce the amount of physically accessible entanglement, which vanishes entirely in some cases. Our results strongly suggest the need to re-evaluate intra and inter-mode entanglement in other fermionic and bosonic systems.https://doi.org/10.1088/1367-2630/ad240fentanglementmode entanglementquantum informationsuper-selection rulesmany-body entanglementmode-entanglement |
| spellingShingle | Jan Ole Ernst Felix Tennie Mode entanglement in fermionic and bosonic Harmonium New Journal of Physics entanglement mode entanglement quantum information super-selection rules many-body entanglement mode-entanglement |
| title | Mode entanglement in fermionic and bosonic Harmonium |
| title_full | Mode entanglement in fermionic and bosonic Harmonium |
| title_fullStr | Mode entanglement in fermionic and bosonic Harmonium |
| title_full_unstemmed | Mode entanglement in fermionic and bosonic Harmonium |
| title_short | Mode entanglement in fermionic and bosonic Harmonium |
| title_sort | mode entanglement in fermionic and bosonic harmonium |
| topic | entanglement mode entanglement quantum information super-selection rules many-body entanglement mode-entanglement |
| url | https://doi.org/10.1088/1367-2630/ad240f |
| work_keys_str_mv | AT janoleernst modeentanglementinfermionicandbosonicharmonium AT felixtennie modeentanglementinfermionicandbosonicharmonium |