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arXiv · 2408.10306

Strict area law entanglement versus chirality

Xiang Li·Ting-Chun Lin·John McGreevy·Bowen Shi
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Abstract

Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prove two no-go theorems that forbid such chirality for a quantum state in a finite dimensional local Hilbert space with strict area law entanglement entropies. As a crucial ingredient in the proofs, we introduce a new quantum information-theoretic primitive called instantaneous modular flow, which has many other potential applications.

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Xiang Li, Ting-Chun Lin, John McGreevy, Bowen Shi. 2024-08-19. Strict area law entanglement versus chirality. https://arxiv.org/abs/2408.10306

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