Related papers: Strict area law entanglement versus chirality

Strict area law entanglement versus chirality

URL: http://arxiv.org/abs/2408.10306v1
Date: Mon, 19 Aug 2024 18:00:01 GMT
Title: Strict area law entanglement versus chirality
Authors: Xiang Li, Ting-Chun Lin, John McGreevy, Bowen Shi,
Abstract summary: Chirality is a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. 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.
Score: 15.809015657546915
License: http://creativecommons.org/licenses/by/4.0/
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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