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dc.contributor.authorRodríguez Fernández, Manuel De Atocha
dc.date.accessioned2022-09-12T22:11:46Z-
dc.date.available2022-09-12T22:11:46Z-
dc.date.issued2022-07-19
dc.identifier.urihttps://wdg.biblio.udg.mx
dc.identifier.urihttps://hdl.handle.net/20.500.12104/90885-
dc.description.abstractIn the current work we intend to come through with a positive step, yet small, towards the experimental verification of the Hawking-Unruh effect and its implications in the topological structure of the spacetimes involved. All the more, by doing this we may be able to do our bit to substantiate the realization and validity of the field theories in curved spacetimes. Topics like: the physics of particle detector in non-inertial frames, if the particle content of a quantum state is observer dependent, the technicalities of the particle emission of black holes, the weak decay of non-inertial protons, if the particle concept drops part of its essence when an observer measures an otherwise empty state in the vicinity of a massive body or in a non-inertial frame of reference, the behavior of a particle detector that undergoes accelerated, if this dynamical effects yields quantum decoherence and quantum entanglement and what effects produce these on the quantum states and if all of this indefiniteness modify the meaning and significance of energy-momentum-stress tensor; this issues (and other more) provide us the incentive to perform our work. On this account, we propose to our work to develop the mathematical structure of a model particle detector which enable us to detect, via the quantum decoherence, the Unruh effect in improved conditions in a scalar field, as we firstly proposed in a published previous work of ours ([4]), as much as in an electromagnetic field. Also, we propose to find out how the topological structure of the Minkowski vacuum is transformed when the quantum entanglement of the non-inertial states takes place.
dc.description.tableofcontentsPreface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 The spacetimes as frames of reference 2 1.1.1 The Minkowski spacetime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 The Rindler spacetime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 The Rindler-generalized spacetime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Particle detectors and decoherence 4 1.3 The topological structure of the concerning spacetimes 5 2 Quantum fields in flat spacetimes and the Unruh effect . . . 6 2.1 The Minkowski spacetime 7 2.2 The Rindler spacetime 9 2.3 The (1+1)-D Rindler-generalized spacetime 11 2.4 The scalar fields 13 2.4.1 The massless scalar field in the Minkowski spacetime . . . . . . . . . . . . . . . . . . . 13 2.4.2 The massless scalar field in the Rindler spacetime . . . . . . . . . . . . . . . . . . . . . . 16 ii 2.4.3 The massless scalar field in the (1+1)-D Rindler-generalized spacetime . . . . 18 2.5 The electromagnetic field 19 2.5.1 The electromagnetic field in the Minkowski spacetime . . . . . . . . . . . . . . . . . 20 2.5.2 The electromagnetic field in the Rindler spacetime . . . . . . . . . . . . . . . . . . . . 22 2.6 The Unruh effect for the massless scalar field in the Rindler spacetime24 2.7 The Unruh effect for the electromagnetic field in the Rindler spacetime29 2.8 The Unruh effect for the massless scalar field in a (1+1)-D Rindlergeneralized spacetime 33 3 The detection of the Unruh effect, the quantum entanglement and the Rindler spacetime . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.1 The Unruh-DeWitt detector and our model detector 40 3.2 The model detector for a massless scalar field in the Rindler spacetime 41 3.3 The model detector for an electromagnetic field in the Rindler spacetime 49 3.4 The quantum entanglement and the Rindler spacetime 55 3.4.1 The production of quantum entanglement by the Unruh effect for a scalar field in the Rindler spacetime . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 3.4.2 The deformation of the Minkowski vacuum in the Rindler spacetime . . . . . 57 3.5 The deformation of the Minkowski vacuum in the (1+1)-D Rindlergeneralized spacetime 60 4 Conclusions and outlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 A Basics on spacetimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 B The Bogolyubov transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
dc.formatapplication/PDF
dc.language.isoeng
dc.publisherBiblioteca Digital wdg.biblio
dc.publisherUniversidad de Guadalajara
dc.rights.urihttps://www.riudg.udg.mx/info/politicas.jsp
dc.subjectUnruh Effect
dc.subjectRindler Spacetime
dc.subjectEntanglement
dc.subjectDecoherence.
dc.titleEntrelazamiento Cuántico, Decoherencia y la Estructura del Espacio-tiempo Rindler
dc.typeTesis de Doctorado
dc.rights.holderUniversidad de Guadalajara
dc.rights.holderRodríguez Fernández, Manuel De Atocha
dc.coverageGUADALAJARA, JALISCO
dc.type.conacytdoctoralThesis
dc.degree.nameDOCTORADO EN CIENCIAS EN FISICA
dc.degree.departmentCUCEI
dc.degree.grantorUniversidad de Guadalajara
dc.rights.accessopenAccess
dc.degree.creatorDOCTOR EN CIENCIAS EN FISICA
dc.contributor.directorNesterov, Alexander
dc.contributor.codirectorBerman, Gennady
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