6 citations · 6 across the 10 of their papers we have counts for
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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Pawel Caputa, Abhigyan Saha, Piotr Sułkowski
We introduce generalisations of von Neumann entanglement entropy that are invariant with respect to certain scale transformations. These constructions are based on the Unit-Invaria…
Variations on a Theme of Krylov
Vijay Balasubramanian, Pawel Caputa, Joan Simón
Spread complexity uses the distribution of support of a time-evolving state in the Krylov basis to quantify dispersal across accessible dimensions of a Hilbert space. Here, we desc…
Symmetry-Resolved Spread Complexity
Pawel Caputa, Giuseppe Di Giulio, Tran Quang Loc
In this work, we investigate the impact of conserved charges on the dynamics of spread complexity of quantum states. Building on the notion of symmetry-resolved Krylov complexity […
Growth of block diagonal operators and symmetry-resolved Krylov complexity
Pawel Caputa, Giuseppe Di Giulio, Tran Quang Loc
This work addresses how the growth of invariant operators is influenced by their underlying symmetry structure. For this purpose, we introduce the symmetry-resolved Krylov complexi…
Complexity of PXP scars revisited
Pawel Caputa, Xuhao Jiang, Sinong Liu
We revisit a quantum quench scenario in which either a scarring or thermalizing initial state evolves under the PXP Hamiltonian. Within this framework, we study the time evolution…
Local Quenches from a Krylov Perspective
Pawel Caputa, Giuseppe Di Giulio
In this work, we investigate local quench dynamics in two-dimensional conformal field theories using Krylov space methods. We derive Lanczos coefficients, spread complexity, and Kr…