# Entanglement area law for 1D gauge theories and bosonic systems

@inproceedings{Abrahamsen2022EntanglementAL, title={Entanglement area law for 1D gauge theories and bosonic systems}, author={Nilin Abrahamsen and Yuan Su and Yu Tong and Nathan Wiebe}, year={2022} }

We prove an entanglement area law for a class of 1D quantum systems involving inﬁnite-dimensional local Hilbert spaces. This class of quantum systems include bosonic models such as the Hubbard-Holstein model, and both U(1) and SU(2) lattice gauge theories in one spatial dimension. Our proof relies on new results concerning the robustness of the ground state and spectral gap to the truncation of Hilbert space, applied within the approximate ground state projector (AGSP) framework from previous…

## One Citation

Entanglement Witnessing for Lattice Gauge Theories

- Physics
- 2022

: Entanglement is assuming a central role in modern quantum many-body physics. Yet, for lattice gauge theories its certiﬁcation remains extremely challenging. A key diﬃculty stems from the local…

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