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Researchers have successfully diagnosed a chaos-to-integrability transition in a supersymmetric SYK model by analyzing spectral statistics within a restricted BPS subspace. This approach eliminates the need for non-BPS state analysis, offering a computationally simpler framework for investigating quantum chaos and the emergence of spacetime in black hole physics. The findings provide a clear crossover from Gaussian Unitary Ensemble behavior to Poisson statistics, validating a streamlined method for probing complex quantum systems.

Surse care acoperăQuantum Zeitgeist, Quantum Computing Report

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From Randomness to Order: Physicists Map a Chaos to Integrability Transition

Quantum Zeitgeist22 mai 20265 min de cititArticolul și perspectiva sunt în engleză.

A spectral gap ratio of 0. 598 reveals a surprising smoothness where chaos gives way to order. This measurement demonstrates a clear transition from the random behaviour expected of complex systems, to the predictable patterns of integrability, all within a restricted part of a supersymmetric model.

Leon Miyahara and Shono Shibuya at Nagoya University show this crossover using a framework called BPS chaos, analysing the spectrum of an operator projected onto a specific subspace. Their numerical findings reveal random-matrix behaviour approaching the chaotic limit, smoothly shifting to Poisson statistics as the model nears integrability. The analysis offers a key example of diagnosing a chaos-integrability transition solely through the examination of BPS states, advancing understanding of complex quantum systems. A gap ratio of 0.598, consistent with Gaussian Unitary Ensemble (GUE) predictions, has transitioned to values indicative of Poisson statistics within a supersymmetric model’s BPS subspace. It marks the first time…

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