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hep-th2026
A geodesic distance interpretation of Lanczos coefficients
Le-Chen Qu
We study the spread complexity of the infinite-temperature thermofield double state in large- random matrix theory and investigate the physical meaning of its Lanczos coefficien…
hep-th2026
Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models
Juan F. Pedraza, Le-Chen Qu
We study the recursion coefficients of orthogonal polynomials and their associated Krylov dynamics in random matrix models with high-degree and possibly asymmetric polynomial poten…
hep-th2026
Quantum chaos and late-time equipartition of symmetry-resolved Krylov complexity
Jayashish Das, Suman Das, Juan F. Pedraza +1
We study symmetry-resolved Krylov complexity in finite-dimensional chaotic quantum many-body systems. When both the Hamiltonian and the initial operator commute with a conserved ch…