Entanglement dualities in supersymmetry

نویسندگان

چکیده

We derive a general relation between the bosonic and fermionic entanglement in ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifications subsystems. Our derivation relies on unified framework to describe both, Gaussian terms so-called linear complex structures $J$. The resulting dualities apply full spectrum systems, such that von Neumann entropy arbitrary Renyi entropies can be related. illustrate our findings one two-dimensional including paradigmatic Kitaev honeycomb model. While typically SUSY preserves features like area law scaling either side, find peculiar phenomenon, namely, an amplified ("super law") subsystems when dual develop almost maximally entangled modes.

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ژورنال

عنوان ژورنال: Physical review research

سال: 2021

ISSN: ['2643-1564']

DOI: https://doi.org/10.1103/physrevresearch.3.023213