Mode Entanglement in Fermionic and Bosonic Harmonium

• URL: http://arxiv.org/abs/2211.09647v2
• Date: Mon, 29 Jan 2024 23:01:45 GMT
• Title: Mode Entanglement in Fermionic and Bosonic Harmonium
• Authors: Jan Ole Ernst, Felix Tennie
• Abstract summary: We report on mode entanglement present in the analytically solvable system of N-Harmonium. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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