Speaker
Ysla França Adans
(Institute of Theoretical Physics — IFT/UNESP - Brazil)
Description
In this work, we investigate how perturbations affect the statistical properties of an integrable model. Using integrable and quasi-integrable deformations generated via the Boost Operator, we numerically analyze indicators of integrability breaking, such as level spacing distributions and Krylov complexity, to characterize the onset of quantum chaos. We apply these methods to nearest-neighbour deformations of the XXZ model and show that these systems exhibit a range of distinct physical behaviors. In particular, we compare perturbatively integrable models with weakly integrability-breaking long-range spin chains.
Author
Ysla França Adans
(Institute of Theoretical Physics — IFT/UNESP - Brazil)
Co-authors
Dr
Marius de Leeuw
(Trinity College Dublin)
Dr
Tristan McLoughlin
(Trinity College Dublin)