Related papers: Local Quenches from a Krylov Perspective

Local Quenches from a Krylov Perspective

URL: http://arxiv.org/abs/2502.19485v2
Date: Mon, 10 Mar 2025 12:36:52 GMT
Title: Local Quenches from a Krylov Perspective
Authors: Pawel Caputa, Giuseppe Di Giulio,
Abstract summary: We derive Lanczos coefficients, spread complexity, and Krylov entropies for local joining and splitting quenches in conformal field theories.<n>Our results further demonstrate that spread complexity and Krylov entropies are powerful tools for probing non-equilibrium dynamics of interacting quantum systems.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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 Krylov entropies for local joining and splitting quenches in theories on an infinite line, a circle, a finite interval, and at finite temperature. We examine how these quantities depend on the central charge of the underlying conformal field theory and find that both spread complexity and Krylov entropy are proportional to it. Interestingly, Krylov entropies evolve logarithmically with time, mirroring standard entanglement entropies, making them useful for extracting the central charge. In the large central charge limit, using holography, we establish a connection between the rate of spread complexity and the proper momentum of the tip of the end-of-the world brane, which probes the bulk analogously to a point particle. Our results further demonstrate that spread complexity and Krylov entropies are powerful tools for probing non-equilibrium dynamics of interacting quantum systems.

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