Mode Entanglement in Fermionic and Bosonic Harmonium
arXiv:2211.09647 · doi:10.1088/1367-2630/ad240f
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.
References in corpus (9)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Reference frames, superselection rules, and quantum information
- Entanglement constrained by superselection rules
- Entanglement in indistinguishable particle systems
- Photon-number superselection and the entangled coherent-state representation
- Entanglement in N-harmonium: bosons and fermions
- Pinning of fermionic occupation numbers: Higher spatial dimensions and spin
- Quantum Operations in an Information Theory for Fermions
- On-demand entanglement generation using dynamic single-electron sources