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Analog de Sitter universe in quantum Hall systems with an expanding edge

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arxiv 2301.09270 v2 pith:4FJ3V3P6 submitted 2023-01-23 gr-qc hep-thquant-ph

Analog de Sitter universe in quantum Hall systems with an expanding edge

classification gr-qc hep-thquant-ph
keywords quantumedgeentanglementexpandingfieldhawkingradiationsystems
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Expanding edges in quantum Hall systems can become a simulator of quantum 1+1 dimensional expanding universes. In these systems, edge exciations are represented as a chiral scalar field in curved spacetimes. We investigate Hawking radiation and entanglement behavior predicted by this model assuming that the expansion law of the edge region corresponds to a de Sitter universe. As observable quantities for the quantum field, local spatial modes associated with detection regions are introduced using window functions for the field, and their correlations are evaluated. We found impact of Hawking radiation caused by the edge expansion on auto-correlation functions of the local modes, and confirmed that entanglement death due to Hawking radiation occurs. This behavior of entanglement is related to ``quantum to classical transition" in cosmic inflations.

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Cited by 1 Pith paper

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  1. Energy Flux as an Entanglement Current in Moving-Mirror Radiation

    gr-qc 2026-07 conditional novelty 5.0

    In moving-mirror analog Hawking radiation, negative energy flux is correlated with entanglement growth between local detector modes and is interpreted as an information-return channel tied to partner-mode recovery.