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Researchers have identified a novel diagnostic tool called min-relative nonlocal magic (NLM) that reveals hidden spectral reorganization during the transition between chaotic and many-body localized phases in quantum systems. Unlike standard entanglement entropy, which remains constant in this regime, NLM captures a distinct dome-shaped evolution that exposes subtle structural changes in complex quantum states. This advancement provides a more precise method for characterizing phase transitions where conventional measures fail to detect underlying dynamics.

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Researchers Link Nonlocal Magic to Many-Body Localization Transition

Quantum ZeitgeistSeptember 16, 20263 min read

Entanglement’s hidden organisation is now revealed through nonlocal magic, exposing structures missed by standard measures like entanglement entropy. This new diagnostic tracks spectral reorganization, a dome-shaped evolution appearing between chaotic behaviour and many-body localisation, even when overall entanglement remains constant. Detailed analysis demonstrates how this ‘magic’ decays with system size, offering valuable insight into phase transitions within complex quantum systems.

South China Normal University utilised min-relative nonlocal magic (NLM) to characterise the crossover from ergodicity to many-body localisation (MBL) in the random-field XXZ chain. Nonlocal magic quantifies the minimum nonstabilizerness attainable under independent local unitary transformations on the two subsystems. Unlike entanglement entropy, NLM probes how entanglement is organised through the distance of the Schmidt spectrum…

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