Simple analog of the black-hole information paradox in quantum Hall interfaces

TL;DR

This paper presents a simplified, experimentally accessible analog of the black hole information paradox using quantum Hall interfaces, demonstrating information scrambling and recovery akin to black hole evaporation.

Contribution

It introduces a quantum Hall interface model that mimics black hole information dynamics, including scrambling and retrieval of information through entanglement and entropy analysis.

Findings

Information gets scrambled at the interface, becoming inaccessible locally.

Recovered information occurs after quasiparticles return, following a Page curve.

The model provides an experimental platform to study black hole information paradoxes.

Abstract

The black hole information paradox has been hotly debated for the last few decades, without full resolution. This makes it desirable to find analogs of this paradox in simple and experimentally accessible systems, whose resolutions may shed light on this long-standing and fundamental problem. Here we identify and resolve an apparent "information paradox" in a quantum Hall interface between the Halperin-331 and Pfaffian states. Information carried by the pseudospin degree of freedom of the Abelian 331 quasiparticles gets scrambled when they cross the interface to enter non-Abelian Pfaffian state, and becomes inaccessible to local measurements; in this sense the Pfaffian region is an analog of black hole interior while the interface plays a role similar to its horizon. We demonstrate that the "lost" information gets recovered once the "black hole" evaporates and the quasiparticles return to the 331 region, albeit in a highly entangled form. Such recovery is quantified by the Page curve of the entropy carried by these quasiparticles, which are analogs of Hawking radiation.