Krylov winding emerges as a generic feature of quantum chaotic systems from the universal operator growth bound, producing size winding when a low-rank Krylov-to-size mapping exists and the chaos bound saturates.
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Entropy injection from an environment enlarges the effective Hilbert space and enhances many-body chaos, demonstrated via analytical computation of relaxation and Lyapunov exponent in a solvable complex Brownian SYK model.
The Levy SYK model is solved exactly at large N, with mu tuning the system from free theory at mu=0 to the standard maximally chaotic SYK at mu=2.
Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.
Double trace deformations create traversable wormholes in AdS5 black branes via gravitational shear and sound channel perturbations that violate ANEC in the hydrodynamic limit.
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Solving L\'{e}vy Sachdev-Ye-Kitaev Model
The Levy SYK model is solved exactly at large N, with mu tuning the system from free theory at mu=0 to the standard maximally chaotic SYK at mu=2.
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Traversable wormhole with double trace deformations via gravitational shear and sound channels
Double trace deformations create traversable wormholes in AdS5 black branes via gravitational shear and sound channel perturbations that violate ANEC in the hydrodynamic limit.