Emergent Spacetime Geometry Enabled by Quantum Entanglement of Anyonic Charges
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The intriguing behaviour of exotic particles called anyons forms the basis of new research exploring the fundamental connection between quantum entanglement and the structure of spacetime. Hoang-Anh Le, Hyun Cheol Lee from Sogang University, and S. -R. Eric Yang from Korea University investigate how entanglement between these anyonic charges can give rise to an emergent geometry resembling Anti-de Sitter (AdS) space, a concept central to theoretical physics.
The team analyses the entanglement structure of fractionalized anyons, demonstrating long-range quantum connections even when the particles are spatially separated within a quasi-one-dimensional system. This work establishes a holographic picture of these fractionalized degrees of freedom, revealing how quantum entanglement can generate emergent geometry, and importantly, does so even without the need for conformal symmetry, opening new avenues for understanding the relationship between quantum mechanics and gravity.
The team analyzed entanglement within these fractionalized particles, establishing a holographic picture where quantum entanglement generates emergent geometry, and importantly, does so without requiring conformal symmetry, opening new avenues for understanding the relationship between quantum mechanics and gravity.,. Entanglement and Geometry in Disordered Graphene Nanoribbons Scientists have investigated the relationship between quantum entanglement and emergent geometry by focusing on disordered zigzag graphene nanoribbons. The study pioneered a method for analyzing entanglement between fractional charges, specifically pairs of semions, located on opposite edges of these nanoribbons. Researchers modeled these disordered nanoribbons using a computational approach that incorporates both electron interactions and random imperfections, simulating realistic material conditions. This modeling allowed for efficient calculations on large systems.
The team established a framework for understanding how the breaking of chiral symmetry within the nanoribbons generates topological charge, demonstrating that these topological states couple, giving rise to instantons carrying a fractional charge. To quantify entanglement, scientists calculated the mutual information between these edge-localized charges, emphasizing its scale dependence, and defined an emergent space, an information geometry, directly from this mutual information, revealing how entanglement effectively connects the two edges of the nanoribbon. To explore the geometric implications of entanglement, the study conceptually embedded the nanoribbon within a curved, hyperbolic-like space, introducing the geodesic distance within this emergent geometry, inferring it from the coarse-grained mutual information, and demonstrating that entanglement patterns resemble geodesics, effectively acting as “glue” connecting the edges and reflecting the holographic principle.,.
Entanglement Defines Emergent AdS-Like Geometry Scientists have demonstrated that quantum entanglement between fractional charges in disordered zigzag graphene nanoribbons generates an emergent geometry resembling Anti-de Sitter (AdS) space. The research focuses on pairs of semions, quasiparticles with an electric charge of e/2, located on opposite zigzag edges of the nanoribbon, revealing long-range quantum entanglement despite spatial separation. Analysis of this entanglement structure embeds the ribbon into an AdS-like bulk geometry, where the entanglement defines minimal surfaces, providing a geometric view of edge correlations.
The team measured non-local correlations arising from these fractional charges, establishing a universal topological entanglement entropy that remains invariant regardless of variations in interaction strength or disorder within the nanoribbon. This robust entanglement serves as a foundation for the emergent geometry, effectively connecting the two edges through patterns resembling geodesics. Mutual information, quantifying these non-local correlations, encodes effective distances through geodesic lengths, mirroring the principles of the holographic principle. The research demonstrates that the scale-dependent entanglement supports this emergent geometry, even in non-conformal systems like zigzag graphene nanoribbons.,.
Entanglement Defines Emergent Anti-de Sitter Geometry This research demonstrates a connection between quantum entanglement and the emergence of geometric space, specifically showing how entanglement between fractionalized charges in disordered zigzag nanoribbons can be interpreted as defining a curved, Anti-de Sitter (AdS)-like geometry. By analyzing the mutual information between these charges, the team established that the spatial relationships between them can be mapped onto a geometric structure, suggesting that geometry is not a fundamental property of the system but arises from the underlying quantum entanglement. This provides a holographic picture of fractionalized degrees of freedom in quasi-one-dimensional systems and reveals how quantum entanglement can generate emergent geometry even without the need for conformal symmetry.
The team modeled disordered zigzag nanoribbons and identified the emergence of fractionalized charges due to interactions and disorder. Through a detailed analysis of the entanglement between these charges, they were able to infer a geometric structure, effectively embedding the nanoribbon into a curved space. This approach allows for a novel understanding of spatial correlations, demonstrating that the arrangement of these charges defines minimal surfaces within the emergent geometry. 👉 More information🗞 Quantum Entanglement of Anyonic Charges and Emergent Spacetime Geometry🧠 ArXiv: https://arxiv.org/abs/2512.15256 Tags: