12 papers
Wigner negativity in Krylov space and emergent semiclassicality
Vijay Balasubramanian, Pawel Caputa, Onkar Parrikar +1
We propose that the Krylov basis gives a semiclassical representation of dynamics in general large-, complex, many-body systems. As a probe of this semiclassicality, we study th…
Complexity Inequalities for Quantum Subsystems
Pawel Caputa, Giuseppe Di Giulio, Tran Quang Loc
Motivated by the role of the holographic entropy cone in constraining the entanglement structure of states with classical gravitational duals, we investigate combinations of subsys…
Probing weak chaos in super Yang-Mills and long-range spin chains
Pawel Caputa, Brian Creed, Rathindra Nath Das +2
We study signatures of quantum chaos in finite-loop truncations of the planar dilatation operator in the sector of super Yang-Mills and its -d…
Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Pawel Caputa, Abhigyan Saha, Piotr SuÅkowski
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…
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…