Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory

ilustraciones, gráficas, tablas

Autores:: Rodríguez Durán, Juan David

Tipo de recurso:

Fecha de publicación:: 2020

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: eng

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repository_id_str
dc.title.eng.fl_str_mv	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
dc.title.translated.spa.fl_str_mv	Estudio teórico de la dinámica de vórtices en un condensado de polaritones más allá de la teoría de campo medio
title	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
spellingShingle	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory 530 - Física Photon Exciton Polariton Bose-Einstein Condensate Vortex Superfluidity Light-matter interaction Hamiltonian Density Operator Fotón Excitón Polaritón Condensado de Bose-Einstein Vórtice Superfluidez Interacción radiación-materia Hamiltoniano Operador Densidad Partículas elementales Teoría cuántica elementary particles Quantum theory
title_short	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
title_full	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
title_fullStr	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
title_full_unstemmed	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
title_sort	Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory
dc.creator.fl_str_mv	Rodríguez Durán, Juan David
dc.contributor.advisor.none.fl_str_mv	Vinck Posada, Herbert
dc.contributor.author.none.fl_str_mv	Rodríguez Durán, Juan David
dc.contributor.researcher.none.fl_str_mv	Restrepo Cuartas Juan Pablo
dc.contributor.researchgroup.spa.fl_str_mv	GRUPO DE SUPERCONDUCTIVIDAD Y NUEVOS MATERIALES
dc.subject.ddc.spa.fl_str_mv	530 - Física
topic	530 - Física Photon Exciton Polariton Bose-Einstein Condensate Vortex Superfluidity Light-matter interaction Hamiltonian Density Operator Fotón Excitón Polaritón Condensado de Bose-Einstein Vórtice Superfluidez Interacción radiación-materia Hamiltoniano Operador Densidad Partículas elementales Teoría cuántica elementary particles Quantum theory
dc.subject.proposal.eng.fl_str_mv	Photon Exciton Polariton Bose-Einstein Condensate Vortex Superfluidity Light-matter interaction Hamiltonian Density Operator
dc.subject.proposal.spa.fl_str_mv	Fotón Excitón Polaritón Condensado de Bose-Einstein Vórtice Superfluidez Interacción radiación-materia Hamiltoniano Operador Densidad
dc.subject.spines.spa.fl_str_mv	Partículas elementales Teoría cuántica
dc.subject.spines.eng.fl_str_mv	elementary particles Quantum theory
description	ilustraciones, gráficas, tablas
publishDate	2020
dc.date.issued.none.fl_str_mv	2020
dc.date.accessioned.none.fl_str_mv	2021-10-12T17:37:18Z
dc.date.available.none.fl_str_mv	2021-10-12T17:37:18Z
dc.type.spa.fl_str_mv	Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv	info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv	info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv	Text
dc.type.redcol.spa.fl_str_mv	http://purl.org/redcol/resource_type/TM
status_str	acceptedVersion
dc.identifier.uri.none.fl_str_mv	https://repositorio.unal.edu.co/handle/unal/80517
dc.identifier.instname.spa.fl_str_mv	Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv	Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv	https://repositorio.unal.edu.co/
url	https://repositorio.unal.edu.co/handle/unal/80517 https://repositorio.unal.edu.co/
identifier_str_mv	Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv	eng
language	eng
dc.relation.references.spa.fl_str_mv	[Alaways, 1998] Alaways, L. (1998). Aerodynamics of the curve-ball: An investigation of the effects of angular velocity on baseball trajectories. [Allen, 2018] Allen, J. (2018). Dynamics of an exciton-polariton condensate. [Anderson et al., 1995] Anderson, M. H., Ensher, J. R., Matthews, M. R., Wieman, C. E., and Cornell, E. A. (1995). Observation of bose-einstein condensation in a dilute atomic vapor. science, 269(5221):198–201. [Bagnato et al., 2008] Bagnato, V., Farias, K., Seman, J., Henn, E., and Ramos, E. (2008). Introduction to the basic-concepts of bose-einstein condensation. AIP Conference Proceedings, 994. [Bao and Cai, 2012] Bao, W. and Cai, Y. (2012). Mathematical theory and numerical methods for bose-einstein condensation. arXiv preprint arXiv:1212.5341. [Barenghi, 2008] Barenghi, C. F. (2008). Is the reynolds number infinite in superfluid turbulence? Physica D: Nonlinear Phenomena, 237(14-17):2195–2202. [Barenghi and Parker, 2016] Barenghi, C. F. and Parker, N. G. (2016). A primer on quantum fluids. Number arXiv: 1605.09580. Springer. [Barenghi et al., 2014] Barenghi, C. F., Skrbek, L., and Sreenivasan, K. R. (2014). Introduction to quantum turbulence. Proceedings of the National Academy of Sciences, 111(Supplement 1):4647–4652. [Baumberg et al., 2000] Baumberg, J., Savvidis, P., Stevenson, R., Tartakovskii, A., Skolnick, M., Whittaker, D., and Roberts, J. (2000). Parametric oscillation in a vertical microcavity: A polariton condensate or micro-optical parametric oscillation. Physical Review B, 62(24):R16247. [Benedikter, 2015] Benedikter, N. (2015). Deriving the gross-pitaevskii equation. In Mathematical Results in Quantum Mechanics: Proceedings of the QMath12 Conference, pages 207–212. World Scientific. [Berne and Pecora, 1974] Berne, B. and Pecora, R. (1974). Laser light scattering from liquids. Annual review of physical chemistry, 25(1):233–253. [Bonesi et al., 2007] Bonesi, M., Churmakov, D., Ritchie, L., and Meglinski, I. (2007). Turbulence monitoring with doppler optical coherence tomography. Laser Physics Letters, 4(4):304–307. [Boulier et al., 2016] Boulier, T., Cancellieri, E., Sangouard, N. D., Hivet, R., Glorieux, Q., Giacobino, E., and Bramati, A. (2016). Lattices of quantized vortices in polariton super-fluids. Comptes Rendus Physique, 17(8):893–907. [Boyd, 2018] Boyd, J. P. (2018). Dynamics of the equatorial ocean. Springer. [Brown and Arnold, 2010] Brown, M. S. and Arnold, C. B. (2010). Fundamentals of laser material interaction and application to multiscale surface modification. In Laser precision microfabrication, pages 91–120. Springer. [Carusotto and Ciuti, 2013] Carusotto, I. and Ciuti, C. (2013). Quantum fluids of light. Reviews of Modern Physics, 85(1):299. [Chalker, 2013] Chalker, J. (2013). Quantum theory of condensed matter. Lecture Notes, Physics Department, Oxford University, page 2. [Ciuti et al., 2003] Ciuti, C., Schwendimann, P., and Quattropani, A. (2003). Theory of polariton parametric interactions in semiconductor microcavities. Semiconductor science and technology, 18(10):S279. [Davis et al., 1995] Davis, K. B., Mewes, M.-O., Andrews, M. R., van Druten, N. J., Durfee, D. S., Kurn, D., and Ketterle, W. (1995). Bose-einstein condensation in a gas of sodium atoms. Physical review letters, 75(22):3969. [De La Peña, 2014] De La Peña, L. (2014). Introducción a la mecánica cuántica. Fondo de Cultura económica. [Delville et al., 2009] Delville, J.-P., de Saint Vincent, M. R., Schroll, R. D., Chraibi, H., Issenmann, B., Wunenburger, R., Lasseux, D., Zhang, W. W., and Brasselet, E. (2009). Laser microfluidics: fluid actuation by light. Journal of Optics A: Pure and Applied Optics, 11(3):034015. [Derksen, 2019] Derksen, A. (2019). Numerical simulation of a forced and freely-vibrating cylinder at supercritical Reynolds numbers. 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Physical Review E, 71(5):056601. [Hecht, 2002] Hecht, E. (2002). Optics-addison. [Hérard and Hurisse, 2005] H´erard, J.-M. and Hurisse, O. (2005). A simple method to compute standard two-fluid models. International Journal of Computational Fluid Dynamics, 19(7):475–482. [Hess and Fairbank, 1967] Hess, G. B. and Fairbank, W. (1967). Measurements of angular momentum in superfluid helium. Physical Review Letters, 19(5):216. [Holmén, 2012] Holmén, V. (2012). Methods for vortex identification. Master’s Theses in Mathematical Sciences. [Hopfield, 1958] Hopfield, J. (1958). Theory of the contribution of excitons to the complex dielectric constant of crystals. Physical Review, 112(5):1555. [Jackson, 2007] Jackson, J. D. (2007). Classical electrodynamics. John Wiley & Sons. [Juggins et al., 2018] Juggins, R., Keeling, J., and Szymánska, M. (2018). Coherently driven microcavity-polaritons and the question of superfluidity. Nature communications, 9(1):1–8. 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(2007). Are excitons really bosons? Journal of Physics: Condensed Matter, 19(29):295214. [Liu et al., 2018] Liu, C., Gao, Y., Tian, S., and Dong, X. (2018). Rortex—a new vortex vector definition and vorticity tensor and vector decompositions. Physics of Fluids, 30(3):035103. [L’vov et al., 2014] L’vov, V. S., Skrbek, L., and Sreenivasan, K. R. (2014). Viscosity of liquid 4he and quantum of circulation: Are they related? Physics of Fluids, 26(4):041703. [Manni et al., 2013] Manni, F., Léger, Y., Rubo, Y. G., André, R., and Deveaud, B. (2013). Hyperbolic spin vortices and textures in exciton–polariton condensates. Nature communications, 4(1):1–7. [Manzano, 2020] Manzano, D. (2020). A short introduction to the lindblad master equation. AIP Advances, 10(2):025106. [Marcus, 1990] Marcus, P. S. (1990). Vortex dynamics in a shearing zonal flow. Journal of Fluid Mechanics, 215:393–430. [Moffatt, 2011] Moffatt, H. K. (2011). A brief introduction to vortex dynamics and turbulence. 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dc.rights.spa.fl_str_mv	Derechos reservados al autor, 2021
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv	Reconocimiento 4.0 Internacional
dc.rights.uri.spa.fl_str_mv	http://creativecommons.org/licenses/by/4.0/
dc.rights.accessrights.spa.fl_str_mv	info:eu-repo/semantics/openAccess
rights_invalid_str_mv	Reconocimiento 4.0 Internacional Derechos reservados al autor, 2021 http://creativecommons.org/licenses/by/4.0/ http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv	openAccess
dc.format.extent.spa.fl_str_mv	XV, 96 páginas
dc.format.mimetype.spa.fl_str_mv	application/pdf
dc.publisher.spa.fl_str_mv	Universidad Nacional de Colombia
dc.publisher.program.spa.fl_str_mv	Bogotá - Ciencias - Maestría en Ciencias - Física
dc.publisher.department.spa.fl_str_mv	Departamento de Física
dc.publisher.faculty.spa.fl_str_mv	Facultad de Ciencias
dc.publisher.place.spa.fl_str_mv	Bogotá, Colombia
dc.publisher.branch.spa.fl_str_mv	Universidad Nacional de Colombia - Sede Bogotá
institution	Universidad Nacional de Colombia
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spelling	Reconocimiento 4.0 InternacionalDerechos reservados al autor, 2021http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vinck Posada, Herbertcb451c328e333b7d420c1effb3732257Rodríguez Durán, Juan Davidd09fb37877085ff0f4e27c8464cf0bebRestrepo Cuartas Juan PabloGRUPO DE SUPERCONDUCTIVIDAD Y NUEVOS MATERIALES2021-10-12T17:37:18Z2021-10-12T17:37:18Z2020https://repositorio.unal.edu.co/handle/unal/80517Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, gráficas, tablasThis work is pretended to carry out an extensive review of concepts regarding Bose-Einstein condensates, polaritonics and vortex identification methods in order to theoretically grasp on the fundamentals of vortex dynamics developed in a two-dimensional quantum well placed in an optical microresonator wherein strong coupling regime among light and matter is assumed to be present. Through the use of some techniques widely employed in quantum optics, the problem of understanding the vortex dynamics in a polariton condensate exhibiting superfluidity is studied starting from an idealized model that has already been proposed and which doesn’t include energy dissipation processes. However, as shown subsequently, mean-field treatment puts aside effects that are evidenced once a model of finite system is considered, generating new possible phenomenologies. Moreover, it is also shown that inclusion of dissipative processes is relevant when it comes to compare with experimental results.Este trabajo pretende llevar a cabo una revisión extensa de conceptos relacionados con los condensados de Bose-Einstein, polaritónica y métodos de identificación de vórtices con la finalidad de ahondar en las bases de la dinámica de vórtices que se encuentran en un pozo cuántico bidimensional ubicado a su vez en un micro-resonador óptico en el cual el régimen de interacción fuerte se asume presente. Mediante el uso de algunas técnicas ampliamente usadas en la óptica cuántica, se estudia el problema de entender la dinámica de vórtices en un condensado de polaritones que exhibe superfluidez partiendo de un modelo idealizado que ya ha sido propuesto, el cual no incluye procesos de disipación de energía. Sin embargo, como se muestra posteriormente, el tratamiento de campo medio deja de lado efectos que se evidencian una vez es considerado un modelo de sistema finito, generando posibilidades fenomenológicas nuevas. Asimismo, se muestra que la inclusión de los procesos disipativos es relevante a la hora de comparar con resultados experimentales. (Texto tomado de la fuente)MaestríaMagíster en Ciencias - FísicaModelamiento teórico y simulación.Dinámica de vórtices y óptica cuántica.XV, 96 páginasapplication/pdfengUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaDepartamento de FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá530 - FísicaPhotonExcitonPolaritonBose-Einstein CondensateVortexSuperfluidityLight-matter interactionHamiltonianDensity OperatorFotónExcitónPolaritónCondensado de Bose-EinsteinVórticeSuperfluidezInteracción radiación-materiaHamiltonianoOperador DensidadPartículas elementalesTeoría cuánticaelementary particlesQuantum theoryTheoretical study of the vortex dynamics in a polariton condensate beyond the mean field theoryEstudio teórico de la dinámica de vórtices en un condensado de polaritones más allá de la teoría de campo medioTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TM[Alaways, 1998] Alaways, L. (1998). Aerodynamics of the curve-ball: An investigation of the effects of angular velocity on baseball trajectories.[Allen, 2018] Allen, J. (2018). Dynamics of an exciton-polariton condensate.[Anderson et al., 1995] Anderson, M. H., Ensher, J. R., Matthews, M. R., Wieman, C. E., and Cornell, E. A. (1995). Observation of bose-einstein condensation in a dilute atomic vapor. science, 269(5221):198–201.[Bagnato et al., 2008] Bagnato, V., Farias, K., Seman, J., Henn, E., and Ramos, E. (2008). Introduction to the basic-concepts of bose-einstein condensation. AIP Conference Proceedings, 994.[Bao and Cai, 2012] Bao, W. and Cai, Y. (2012). Mathematical theory and numerical methods for bose-einstein condensation. arXiv preprint arXiv:1212.5341.[Barenghi, 2008] Barenghi, C. F. (2008). Is the reynolds number infinite in superfluid turbulence? Physica D: Nonlinear Phenomena, 237(14-17):2195–2202.[Barenghi and Parker, 2016] Barenghi, C. F. and Parker, N. G. (2016). A primer on quantum fluids. Number arXiv: 1605.09580. Springer.[Barenghi et al., 2014] Barenghi, C. F., Skrbek, L., and Sreenivasan, K. R. (2014). Introduction to quantum turbulence. Proceedings of the National Academy of Sciences, 111(Supplement 1):4647–4652.[Baumberg et al., 2000] Baumberg, J., Savvidis, P., Stevenson, R., Tartakovskii, A., Skolnick, M., Whittaker, D., and Roberts, J. (2000). Parametric oscillation in a vertical microcavity: A polariton condensate or micro-optical parametric oscillation. Physical Review B, 62(24):R16247.[Benedikter, 2015] Benedikter, N. (2015). Deriving the gross-pitaevskii equation. In Mathematical Results in Quantum Mechanics: Proceedings of the QMath12 Conference, pages 207–212. World Scientific.[Berne and Pecora, 1974] Berne, B. and Pecora, R. (1974). Laser light scattering from liquids. Annual review of physical chemistry, 25(1):233–253.[Bonesi et al., 2007] Bonesi, M., Churmakov, D., Ritchie, L., and Meglinski, I. (2007). 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Optics letters, 13(10):916–918.EstudiantesInvestigadoresMaestrosLICENSElicense.txtlicense.txttext/plain; charset=utf-83964https://repositorio.unal.edu.co/bitstream/unal/80517/4/license.txtcccfe52f796b7c63423298c2d3365fc6MD54ORIGINAL1019042231.2021.pdf1019042231.2021.pdfTesis de Maestría en Ciencias - Físicaapplication/pdf6410179https://repositorio.unal.edu.co/bitstream/unal/80517/6/1019042231.2021.pdfa095232ff44f4ca36139545b2378999dMD56THUMBNAIL1019042231.2021.pdf.jpg1019042231.2021.pdf.jpgGenerated Thumbnailimage/jpeg5241https://repositorio.unal.edu.co/bitstream/unal/80517/7/1019042231.2021.pdf.jpgb36ac6482b38a62fc6dea254e84190afMD57unal/80517oai:repositorio.unal.edu.co:unal/805172023-07-29 23:03:35.7Repositorio Institucional Universidad Nacional de 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GVyZWNob3MgZGUgYXV0b3IgcXVlIGNvbmxsZXZlIGxhIGRpc3RyaWJ1Y2nDs24gZGUgZXN0b3MgYXJjaGl2b3MgeSBtZXRhZGF0b3MuCkFsIGhhY2VyIGNsaWMgZW4gZWwgc2lndWllbnRlIGJvdMOzbiwgdXN0ZWQgaW5kaWNhIHF1ZSBlc3TDoSBkZSBhY3VlcmRvIGNvbiBlc3RvcyB0w6lybWlub3MuCgpVTklWRVJTSURBRCBOQUNJT05BTCBERSBDT0xPTUJJQSAtIMOabHRpbWEgbW9kaWZpY2FjacOzbiAyNy8yMC8yMDIwCg==

Theoretical study of the vortex dynamics in a polariton condensate beyond the mean field theory

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