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

TL;DR

This paper models quantum Hall edge expansions as de Sitter universes, analyzing Hawking radiation and entanglement decay, revealing insights into quantum-to-classical transition phenomena in cosmological analogs.

Contribution

It introduces a novel simulation of de Sitter universe dynamics in quantum Hall edges and analyzes Hawking radiation effects on quantum entanglement.

Findings

Hawking radiation impacts auto-correlation functions of local modes

Entanglement death occurs due to Hawking radiation

Entanglement behavior relates to quantum-classical transition in cosmic inflation

Abstract

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.