Berlin 2024 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 75: Low Dimensional Systems
TT 75.9: Talk
Thursday, March 21, 2024, 17:15–17:30, H 3007
Characterizing the entanglement of mixed states in anyonic systems — •Nico Kirchner1,2, Wonjune Choi1,2, and Frank Pollmann1,2 — 1Technical University of Munich — 2Munich Center for Quantum Science and Technology (MCQST)
Entanglement of mixed quantum states can be quantified using the so-called partial transpose and its corresponding entanglement measure, the logarithmic negativity. Recently, the notion of partial transpose has been extended to systems of anyons, which are exotic quasiparticles whose exchange statistics go beyond the bosonic and fermionic case. Studying the fundamental properties of this anyonic partial transpose for non-abelian anyons and the bipartition geometry, we find a rich multiplet structure in the eigenvalues of the partial transpose, the so-called negativity spectrum, and reveal the possiblity of defining both a charge- and an imbalance-resolved logarithmic negativity. Focusing on low-energy properties, we find that the anyonic partial transpose captures both the correct entanglement scaling for gapless systems, as predicted by conformal field theory, and the phase transition between a topologically trivial and a nontrivial phase.
Keywords: anyons; entanglement; partial transpose; negativity