Area law violations in a supersymmetric model

Abstract

We study the structure of entanglement in a supersymmetric lattice model of fermions on certain types of decorated graphs with quenched disorder. In particular, we construct models with controllable ground state degeneracy protected by supersymmetry and the choice of Hilbert space. We show that in certain special limits these degenerate ground states are associated with local impurities and that there exists a basis of the ground state manifold in which every basis element satisfies a boundary law for entanglement entropy. On the other hand, by considering incoherent mixtures or coherent superpositions of these localized ground states, we can find regions that violate the boundary law for entanglement entropy over a wide range of length scales. More generally, we discuss various desiderata for constructing violations of the boundary law for entanglement entropy and discuss possible relations of our work to recent holographic studies.

20 pages, 1 figure, 1 appendix

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Cited by in corpus (13)

• Aspects of holography for theories with hyperscaling violation
• Power law violation of the area law in quantum spin chains
• Renormalization group constructions of topological quantum liquids and beyond
• Entanglement over the rainbow
• Schrödinger Holography with and without Hyperscaling Violation
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Unusual area-law violation in random inhomogeneous systems
• Mutual information area laws for thermal free fermions
• Supersymmetric Many-Body Systems from Partial Symmetries: Integrability, Localization and Scrambling
• Crystalline Scaling Geometries from Vortex Lattices
• Nodal Line Entanglement Entropy: Generalized Widom Formula from Entanglement Hamiltonians
• Area Law Violations and Quantum Phase Transitions in Modified Motzkin Walk Spin Chains
• M${}_k$ models: the field theory connection