Banca de QUALIFICAÇÃO: YGOR PARÁ SILVA

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : YGOR PARÁ SILVA
DATE: 10/08/2022
TIME: 14:00
LOCAL: Plataforma Google Meet
TITLE:

Non-Hermitian Physics on a Curved Surface

KEY WORDS:

Curvature, two-dimensional, bi-orthogonal.

PAGES: 44
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

The influence of curved background on the properties of Non-Hermitian (NH) systems is a significant open question
for a broad class of physical applications. We introduce an analytically solvable model of Dirac fermions with imaginary mass
on the sphere. We show the existence of an infinite sequence of exceptional points (EP), which depend on the radius
(curvature) of the sphere. We employ quench dynamics to characterize curvature-dependent NH phase transitions. We
demonstrate that the existence of singular points of the Loschmidt echo and the fidelity are an unambiguous signature of
geometric EPs that distinguish between different phases of the model.

BANKING MEMBERS:
Interno - 1674079 - LEO GOUVEA MEDEIROS
Interno - 1313663 - RODRIGO GONCALVES PEREIRA
Presidente - 2195232 - TOMMASO MACRI
Externo à Instituição - VAN SÉRGIO DA SILVA ALVES - UFPA