Strict area law entanglement versus chirality
ORAL
Abstract
A quantum many-body state in two spatial dimensions may exhibit robust chirality, which can manifest through non-vanishing thermal or electric Hall conductance. In this talk, we present two no-go theorems that forbid a quantum state from having both such robust chirality and strict area-law entanglement entropies in a Hilbert space with finite local dimensions. As a crucial ingredient in the proofs, we introduce a novel quantum information-theoretic primitive called instantaneous modular flow, which has many other potential applications.
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Publication: https://arxiv.org/abs/2408.10306
Presenters
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Xiang Li
University of California, San Diego
Authors
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Xiang Li
University of California, San Diego
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Ting-Chun Lin
Department of Physics, University of California San Diego, CA, University of California, San Diego
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John McGreevy
University of California, San Diego
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Bowen Shi
University of Illinois Urbana-Champaign, University of Illinois at Urbana-Champaign