10:30–11:30 am ERC 301B
Topology and Entanglement in Fermionic Systems
In this talk, we bring together ideas from quantum information theory and condensed matter physics to study many-particle systems of fermions. We revisit the structure of the Hilbert space and operator algebras in Fermi systems which provides a natural platform to discuss the notion of entanglement and local operations. We generalize the partial transpose, which is a well-known operation to diagnose entanglement in density matrices of qubits and bosonic systems, to fermionic systems. Our idea was inspired by the observation that time-reversal acts as transposition on density matrices; hence, we looked for a way to apply partial time-reversal to density matrices of fermions. We use this new framework and the associated entanglement measure, logarithmic negativity, to study the entanglement content of topological insulators and superconductors as well as critical theories.
