2021/03/31 by Robert H. Jonsson, Lucas Hackl, Krishanu Roychowdhury
Physics and Astronomy · #Advanced Condensed Matter Physics #Entropy (arrow of time) #Multipartite entanglement #Quadratic equation #Quantum entanglement #Quantum many-body systems #Scaling #Squashed entanglement #Supersymmetry #Topological Materials and Phenomena #Von Neumann entropy #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevresearch.3.023213
published as Phys. Rev. Research 3, 023213 (2021) · 20 pages, 6 figures. v2: Update to published version, typos corrected
openalex created_date 2021/03/29 · openalex publication_date 2021/06/16 · arxiv created 2021/06/18 · arxiv updated 2021/06/21 · openalex updated_date 2026/08/05
We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifications between bosonic and fermionic subsystems. Our derivation relies on a unified framework to describe both bosonic and fermionic Gaussian states in terms of so-called linear complex structures J. The resulting dualities apply to the full entanglement spectrum between the bosonic and the fermionic systems, such that the von Neumann entropy and arbitrary Renyi entropies can be related. We illustrate our findings in one-and two-dimensional systems, including the paradigmatic Kitaev honeycomb model. While typically supersymmetry preserves features like area law scaling of the entanglement entropies on either side, we find a peculiar phenomenon, namely, an amplified scaling of the entanglement entropy ("super area law") in bosonic subsystems when the dual fermionic subsystems develop almost maximally entangled modes.