SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 6: Poster I (joint session QI/Q)
QI 6.9: Poster
Monday, March 6, 2023, 16:30–19:00, Empore Lichthof
Entanglement in free fermion systems — Lexin Ding1,2, •Gesa Dünnweber1,2, and Christian Schilling1,2 — 1Faculty of Physics, Arnold Sommerfeld Centre for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstr. 37, 80333 Munich, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 Munich, Germany
Entanglement is becoming an increasingly important resource for the realisation of quantum information tasks. Several measures of mode entanglement have been proposed for fermionic systems.
We consider a spinful free fermion chain under nearest neighbour hopping and determine an analytic measure of the resulting site-site entanglement. Including in particular the restrictions imposed by parity or particle number superselection rules, we study how various factors affect the accessible entanglement. This approach is extended to a model that includes an additional hopping term where we investigate the evolution of entanglement across a Lifshitz-type transition. Relating orbital entanglement to the concept of locality within a molecule, we present numerical results for a hydrogen chain.
Finally, we are interested in protocols for extracting entanglement from fermionic systems such as entanglement swapping, where superselection rules demand modifications to the established protocols for qubits.