Many-Body Entanglement in Short-Range Interacting Fermi Gases for Metrology

Phys Rev Lett. 2019 Aug 9;123(6):060406. doi: 10.1103/PhysRevLett.123.060406.


We explore many-body entanglement in spinful Fermi gases with short-range interactions, for metrology purposes. We characterize the emerging quantum phases via density-matrix renormalization group simulations and quantify their entanglement content for metrological usability via quantum Fisher information (QFI). Our study establishes a method, promoting QFI to be an order parameter. Short-range interactions reveal to build up metrologically promising entanglement in the XY-ferromagnetic and cluster ordering, the cluster physics being unexplored so far.