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Lattice models for phases and transitions with non-invertible symmetries, by Lakshya Bhardwaj, Lea E. Bottini, Sakura Schäfer-Nameki, Apoorv Tiwari

SciPost Quantum
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⚡ Quantum Brief
A May 2026 study introduces lattice models to explore phases and transitions governed by non-invertible symmetries, a novel framework beyond traditional symmetry classifications in quantum systems. The research, led by Lakshya Bhardwaj and collaborators, bridges condensed matter physics with quantum field theory, offering tools to classify exotic phases using non-invertible topological defects. Non-invertible symmetries—unlike conventional group symmetries—enable new universality classes, potentially explaining anomalies in 2D quantum materials and topological quantum computing architectures. The team proposes exact lattice constructions, allowing numerical simulations of these symmetries, which were previously accessible only through abstract mathematical or field-theoretic approaches. This work could redefine quantum phase classification, with implications for error-corrected quantum memories and fault-tolerant quantum computation.
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Lattice models for phases and transitions with non-invertible symmetries, by Lakshya Bhardwaj, Lea E. Bottini, Sakura Schäfer-Nameki, Apoorv Tiwari

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Source: SciPost Quantum