Adiabatic gauge potential approach to characterize the onset of chaos in a many-body quantum system with local perturbations

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dc.audiencegeneralPublic
dc.contributorTorres Herrera, Eduardo Jonathan
dc.contributor.advisorTorres Herrera, Eduardo Jonathan; 0000-0001-7619-5105
dc.contributor.authorTexca García, Julio Cesar
dc.creatorTexca García, Julio Cesar; 0000-0003-0321-3186
dc.date.accessioned2026-05-28T17:38:22Z
dc.date.available2026-05-28T17:38:22Z
dc.date.issued2025-11
dc.description.abstract“In this work we study the so-called adiabatic gauge potential as a diagnostic of quantum many-body chaos. For our proposals we employ two paradigmatic models of many-body quantum systems, the one-dimensional Heisenberg spin-1/2 model with an on-site defect that can break integrability and, the interacting Aubry-André model. The first part of the work consists of characterizing the behavior of these models with conventional tools of ran dom matrix theory. In particular, by studying the spectral properties and the structure and statistics of energy eigenstates. Finally, we study the transition to chaos in these models by means of the adiabatic gauge potential. We show that the adiabatic gauge potential is more sensitive to detect the transition than conventional diagnostics of random matrix theory”.
dc.folio20251124125527-0341-T
dc.formatpdf
dc.identificator1
dc.identifier.urihttps://hdl.handle.net/20.500.12371/32530
dc.language.isoeng
dc.matricula.creator223470319
dc.publisherBenemérita Universidad Autónoma de Puebla
dc.rights.accesopenAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.subject.lccFísica--Física matemática--Temas especiales--Invariantes adiabáticos
dc.subject.lccFísica--Física nuclear y de partículas--Física de partículas elementales--Temas especiales--Espín
dc.subject.lccMatrices aleatorias
dc.subject.lccSistemas cuánticos
dc.thesis.careerMaestría en Ciencias (Física)
dc.thesis.degreedisciplineÁrea de Ingeniería y Ciencias Exactas
dc.thesis.degreegrantorInstituto de Física "Ing. Luis Rivera Terrazas"
dc.thesis.degreetoobtainMaestro (a) en Ciencias (Física)
dc.titleAdiabatic gauge potential approach to characterize the onset of chaos in a many-body quantum system with local perturbations
dc.typeTesis de maestría
dc.type.conacytmasterThesis
dc.type.degreeMaestría
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