1. Strict area law entanglement versus chirality
- Author
-
Li, Xiang, Lin, Ting-Chun, McGreevy, John, and Shi, Bowen
- Subjects
Quantum Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Condensed Matter - Strongly Correlated Electrons ,Mathematical Physics - 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., Comment: 5+9 pages, 4 figures
- Published
- 2024