3 papers
hep-th2026
Spectral Topology and Universal Krylov Dynamics
Jeff Murugan, Hendrik J. R. Van Zyl, Masataka Watanabe
The leading asymptotic growth of Lanczos coefficients is controlled by spectral tails and furnishes a coarse classification of Krylov dynamics. We show that the \textit{global topo…
hep-th2026
Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems
Arpan Bhattacharyya, S. Shajidul Haque, Jeff Murugan +2
In closed quantum systems, Krylov complexity admits a geometric description; operator growth is equivalent to Hamiltonian flow in an emergent phase space whose structure is fixed b…
hep-th2026
Superadditivity of Krylov Complexity for Tensor Products
Jeff Murugan, Hendrik J. R. van Zyl
We study Krylov complexity for quantum systems whose Hamiltonians factorise as tensor products. We prove that complexity is superadditive under tensor products, …