5 papers
Krylov Complexity and Entropy of Composite Quantum Systems
Jeff Murugan, Victor Van Aswegen, Hendrik J R Van Zyl
We investigate the behaviour of Krylov complexity as the number of degrees of freedom of a quantum system increases. Specifically, we show that for tensor products of commuting sub…
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…
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…
A Schwinger-Keldysh Formulation of Semiclassical Operator Dynamics
Jeff Murugan, Hendrik J. R. van Zyl
In this work we develop a real-time Schwinger-Keldysh formulation of Krylov dynamics that treats Krylov complexity as an in-in observable generated by a closed time contour path in…
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, …