6 citations · 6 across the 10 of their papers we have counts for
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 -de…
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…
Thermal Pseudo-Entropy
Pawel Caputa, Bowen Chen, Tadashi Takayanagi +1
In this work, we develop a generalisation of the thermal entropy to complex inverse temperatures, which we call the thermal pseudo-entropy. We show that this quantity represents th…
Spread Complexity Rate as Proper Momentum
Pawel Caputa, Bowen Chen, Ross W. McDonald +2
We demonstrate a precise relation between the rate of complexity of quantum states excited by local operators in two-dimensional conformal field theories and the radial momentum of…
Musings on SVD and pseudo entanglement entropies
Pawel Caputa, Souradeep Purkayastha, Abhigyan Saha +1
Pseudo-entropy and SVD entropy are generalizations of the entanglement entropy that involve post-selection. In this work we analyze their properties as measures on the spaces of qu…