Quantum Chaos Accelerates Beyond the Limit ⚡ экспресс
Analysis of operator growth in conformal field theory with W3 symmetry revealed that Lanczos coefficients grow as N^2, violating the universal hypothesis — this leads to an explosive growth of Krylov complexity. The cause is the extended higher-rank symmetry, in particular the SL(3,R) subalgebra. This behavior qualitatively changes the constraints on quantum information scrambling, demonstrating that extra symmetries are not just a decoration of the theory, but a key to its dynamics.
Usually, in quantum systems, information mixes gradually, like a rumor in a crowd: one person passes it to another, and that person to the next. The growth of entropy (a measure of disorder) is linear here – and was long considered a universal limit. But when additional symmetries come into play, a different picture emerges. In such systems, the influence of a single particle instantly spreads to many others – as if 'super-spreaders' appear, whispering the news to everyone at once. The entanglement speed skyrockets, and information covers the entire system almost instantly.
The discovery not only deepens the theory of quantum chaos but also promises ultra-fast quantum devices.
🎯 Black holes were considered champions of scrambling information: they reach the limit of chaos in a fraction of a second. The new discovery shows that some quantum systems can be even faster.
🎬 In Liu Cixin's 'The Three-Body Problem,' aliens instantly comprehend everything about humanity – just like information behaves in systems where speed limits are removed.