Quantum Trajectories in non-Markovian system via the reaction coordinate mapping
gráficos, ilustraciones, tablas
- Autores:
-
Herrera Rodriguez, Luis Eduardo
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/82258
- Palabra clave:
- 530 - Física::539 - Física moderna
Mapas cuánticos
Quantum maps
Non markovian
Open quantum systems
Spin boson
Quantum trajectories
Reaction coordinate
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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| dc.title.eng.fl_str_mv |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| dc.title.translated.spa.fl_str_mv |
Trajectorias Cuanticas en sisitemas no-Markovianos via el mapeo de la coordenada de reaccion |
| title |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| spellingShingle |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping 530 - Física::539 - Física moderna Mapas cuánticos Quantum maps Non markovian Open quantum systems Spin boson Quantum trajectories Reaction coordinate |
| title_short |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| title_full |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| title_fullStr |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| title_full_unstemmed |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| title_sort |
Quantum Trajectories in non-Markovian system via the reaction coordinate mapping |
| dc.creator.fl_str_mv |
Herrera Rodriguez, Luis Eduardo |
| dc.contributor.advisor.none.fl_str_mv |
Viviescas Ramirez, Carlos Leonardo |
| dc.contributor.author.none.fl_str_mv |
Herrera Rodriguez, Luis Eduardo |
| dc.contributor.researchgroup.spa.fl_str_mv |
Caos y Complejidad |
| dc.subject.ddc.spa.fl_str_mv |
530 - Física::539 - Física moderna |
| topic |
530 - Física::539 - Física moderna Mapas cuánticos Quantum maps Non markovian Open quantum systems Spin boson Quantum trajectories Reaction coordinate |
| dc.subject.lemb.spa.fl_str_mv |
Mapas cuánticos |
| dc.subject.lemb.eng.fl_str_mv |
Quantum maps |
| dc.subject.proposal.eng.fl_str_mv |
Non markovian Open quantum systems Spin boson Quantum trajectories Reaction coordinate |
| description |
gráficos, ilustraciones, tablas |
| publishDate |
2022 |
| dc.date.accessioned.none.fl_str_mv |
2022-09-06T15:20:07Z |
| dc.date.available.none.fl_str_mv |
2022-09-06T15:20:07Z |
| dc.date.issued.none.fl_str_mv |
2022-07-21 |
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Trabajo de grado - Maestría |
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info:eu-repo/semantics/masterThesis |
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info:eu-repo/semantics/acceptedVersion |
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Text |
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http://purl.org/redcol/resource_type/TM |
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acceptedVersion |
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https://repositorio.unal.edu.co/handle/unal/82258 |
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Universidad Nacional de Colombia |
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Repositorio Institucional Universidad Nacional de Colombia |
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https://repositorio.unal.edu.co/ |
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https://repositorio.unal.edu.co/handle/unal/82258 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 |
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eng |
| dc.relation.references.spa.fl_str_mv |
KW Murch, SJ Weber, Christopher Macklin, and Irfan Siddiqi. Observing single quantum trajectories of a superconducting quantum bit. Nature, 502(7470):211, 2013. David Kielpinski, Chris Monroe, and David J Wineland. Architecture for a large-scale ion-trap quantum computer. Nature, 417(6890):709, 2002 Simon F¨olling, Fabrice Gerbier, Artur Widera, Olaf Mandel, Tatjana Gericke, and Immanuel Bloch. Spatial quantum noise interferometry in expanding ultracold atom clouds. Nature, 434(7032):481, 2005. J Millen, PZG Fonseca, T Mavrogordatos, TS Monteiro, and PF Barker. Cavity cooling a single charged levitated nanosphere. Physical review letters, 114(12):123602, 2015. Volkhard May and Oliver K¨uhn. Charge and energy transfer dynamics in molecular systems. John Wiley & Sons, 2008. Michael A Nielsen and Isaac Chuang. Quantum computation and quantum information, 2002. Leonas Valkunas, Darius Abramavicius, and Tomas Mancal. Molecular excitation dynamics and relaxation: quantum theory and spectroscopy. John Wiley & Sons, 2013. Abraham Nitzan. Chemical dynamics in condensed phases: relaxation, transfer and reactions in condensed molecular systems. Oxford university press, 2006. Jianshu Cao, Richard J Cogdell, David F Coker, Hong-Guang Duan, J¨urgen Hauer, Ulrich Kleinekath¨ofer, Thomas LC Jansen, Tom´aˇs Manˇcal, RJ Dwayne Miller, Jennifer P Ogilvie, et al. Quantum biology revisited. Science advances, 6(14):eaaz4888, 2020. Luis E Herrera Rodriguez and Alexei A Kananenka. Convolutional neural networks for long time dissipative quantum dynamics. The Journal of Physical Chemistry Letters, 12(9):2476–2483, 2021. Felix Binder, Luis A Correa, Christian Gogolin, Janet Anders, and Gerardo Adesso. Thermodynamics in the quantum regime: fundamental aspects and new directions, volume 195. Springer, 2019 Yoshitaka Tanimura. Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (heom). The Journal of chemical physics, 153(2):020901, 2020. H-D Meyer, Uwe Manthe, and Lorenz S Cederbaum. The multi-configurational timedependent hartree approach. Chemical Physics Letters, 165(1):73–78, 1990. Denis Kast and Joachim Ankerhold. Persistence of coherent quantum dynamics at strong dissipation. Physical review letters, 110(1):010402, 2013 In´es De Vega and Daniel Alonso. Dynamics of non-markovian open quantum systems. Reviews of Modern Physics, 89(1):015001, 2017. Anthony J Leggett, SDAFMGA Chakravarty, Alan T Dorsey, Matthew PA Fisher, Anupam Garg, and Wilhelm Zwerger. Dynamics of the dissipative two-state system. Reviews of Modern Physics, 59(1):1, 1987. Ulrich Weiss. Quantum dissipative systems, volume 13. World scientific, 2012. Lajos Di´osi. Ohmic vs markovian heat bath—two-page-tutorial, 2012 Helmut Wipf, RG Barnes, P Dantzer, H Grabert, DK Ross, HR Schober, and H Vehoff. Hydrogen in metals iii. properties and applications. 1997. Rudolph A Marcus. On the theory of oxidation-reduction reactions involving electron transfer. i. The Journal of chemical physics, 24(5):966–978, 1956. Rudolph A Marcus and Norman Sutin. Electron transfers in chemistry and biology. Biochimica et Biophysica Acta (BBA)-Reviews on Bioenergetics, 811(3):265–322, 1985. Diego Porras, F Marquardt, J Von Delft, and J Ignacio Cirac. Mesoscopic spin-boson models of trapped ions. Physical review A, 78(1):010101, 2008. Heinz-Peter Breuer, Francesco Petruccione, et al. The theory of open quantum systems. Oxford University Press on Demand, 2002. Gernot Schaller. Open quantum systems far from equilibrium, volume 881. Springer, 2014. Gernot Schaller. Theorie des quantentransports. 2021 Alexander N¨ußeler, Ish Dhand, Susana F Huelga, and Martin B Plenio. Efficient simulation of open quantum systems coupled to a fermionic bath. Physical Review B, 101(15):155134, 2020. Ahsan Nazir and Gernot Schaller. The reaction coordinate mapping in quantum thermodynamics. arXiv preprint arXiv:1805.08307, 2018. Howard M Wiseman and L Di´osi. Complete parameterization, and invariance, of diffusive quantum trajectories for markovian open systems. Chemical Physics, 268(1-3):91–104, 2001. Howard Carmichael. An open systems approach to quantum optics: lectures presented at the Universit´e Libre de Bruxelles, October 28 to November 4, 1991, volume 18. Springer Science & Business Media, 2009. Heinz-Peter Breuer, Francesco Petruccione, et al. The theory of open quantum systems. Oxford University Press on Demand, 2002. Goran Lindblad. On the generators of quantum dynamical semigroups. Communications in Mathematical Physics, 48(2):119–130, 1976. Andy Chia and Howard Mark Wiseman. Complete parametrizations of diffusive quantum monitorings. Physical Review A, 84(1):012119, 2011. Scott Hill and William K Wootters. Entanglement of a pair of quantum bits. Physical review letters, 78(26):5022, 1997. Andreas Buchleitner, Carlos Viviescas, and Markus Tiersch. Entanglement and decoherence: foundations and modern trends, volume 768. Springer Science & Business Media, 2008. Jia-dong Shi, Dong Wang, and Liu Ye. Entanglement revive and information flow within the decoherent environment. Scientific reports, 6:30710, 2016. Ugo Fano. Effects of configuration interaction on intensities and phase shifts. Physical Review, 124(6):1866, 1961. Philip Warren Anderson. Localized magnetic states in metals. Physical Review, 124(1):41, 1961. PB Wiegmann and AM Tsvelick. Exact solution of the anderson model: I. Journal of Physics C: Solid State Physics, 16(12):2281, 1983. Patrick P Hofer, Mart´ı Perarnau-Llobet, L David M Miranda, G´eraldine Haack, Ralph Silva, Jonatan Bohr Brask, and Nicolas Brunner. Markovian master equations for quantum thermal machines: local versus global approach. New Journal of Physics, 19(12):123037, 2017. Bijay Kumar Agarwalla and Dvira Segal. The anderson impurity model out-of-equilibrium: Assessing the accuracy of simulation techniques with an exact current-occupation relation. The Journal of chemical physics, 147(5):054104, 2017. |
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43 páginas |
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Universidad Nacional de Colombia |
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Bogotá - Ciencias - Maestría en Ciencias - Física |
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Departamento de Física |
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Facultad de Ciencias |
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Bogotá, Colombia |
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Universidad Nacional de Colombia - Sede Bogotá |
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Atribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Viviescas Ramirez, Carlos Leonardoaec44187564afd6385b5f09860dc1608Herrera Rodriguez, Luis Eduardoe15d6794e555a857e59a43b1f6e4fb54Caos y Complejidad2022-09-06T15:20:07Z2022-09-06T15:20:07Z2022-07-21https://repositorio.unal.edu.co/handle/unal/82258Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/gráficos, ilustraciones, tablasDynamics of systems coupled to an environment are usually hard to obtain; their solutions rely on approximation, which may not be reliable in many cases. Here we use the Reaction coordinate mapping and the Quantum trajectories to study the dynamics of strongly interacting systems. We benchmark an own derived Lindblad master equation for the Spin-Boson, in the dephasing limit, where the reaction coordinate mapping was applied. The master equation was unraveled with quantum trajectories, where a numerical improvement was found. The Lindblad master equation was used for a pair of 2 non-interacting qubits immersed in a bosonic bath. The Reaction coordinate map shows the presence of entanglement between the qubits and entanglement revival. Finally, the reaction coordinate was applied for a single electron transistor, getting the occupation of the dot in the non-equilibrium dynamics. (Text taken from the source)La dinámica de los sistemas acoplados a un entorno suele ser difícil de obtener; sus soluciones se basan en aproximaciones, que pueden ser no fiable en muchos casos. Aquí usamos el mapeo de coordenada de reacción y las trayectorias cuánticas para estudiar la dinámica de sistemas que interact´uan fuertemente. Se testeo una ecuaci´on maestra de Lindblad de derivacion propia para el sistema Spin-Boson en el límite de desfase, donde se aplicó el mapeo de coordenadas de reacci´on. La ecuaci´on maestra se desentra˜n´o con trayectorias cu´anticas, donde se encontr´o una mejora numérica. La ecuación maestra de Lindblad se utilizó para un par de qubits que no interactúan sumergidos en un baño bosónico. El mapa de coordenadas de reacción muestra la presencia de entrelazamiento entre los qubits y renacimiento del entrelazamiento. Finalmente, se aplic´o la coordenada de reacci´on para un transistor de un solo electrón, obteniendo la ocupación del punto quantico en la dinámica de no equilibrio.Maestría43 páginasapplication/pdfengUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaDepartamento de FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá530 - Física::539 - Física modernaMapas cuánticosQuantum mapsNon markovianOpen quantum systemsSpin bosonQuantum trajectoriesReaction coordinateQuantum Trajectories in non-Markovian system via the reaction coordinate mappingTrajectorias Cuanticas en sisitemas no-Markovianos via el mapeo de la coordenada de reaccionTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMKW Murch, SJ Weber, Christopher Macklin, and Irfan Siddiqi. Observing single quantum trajectories of a superconducting quantum bit. Nature, 502(7470):211, 2013.David Kielpinski, Chris Monroe, and David J Wineland. Architecture for a large-scale ion-trap quantum computer. Nature, 417(6890):709, 2002Simon F¨olling, Fabrice Gerbier, Artur Widera, Olaf Mandel, Tatjana Gericke, and Immanuel Bloch. Spatial quantum noise interferometry in expanding ultracold atom clouds. Nature, 434(7032):481, 2005.J Millen, PZG Fonseca, T Mavrogordatos, TS Monteiro, and PF Barker. Cavity cooling a single charged levitated nanosphere. Physical review letters, 114(12):123602, 2015.Volkhard May and Oliver K¨uhn. Charge and energy transfer dynamics in molecular systems. John Wiley & Sons, 2008.Michael A Nielsen and Isaac Chuang. Quantum computation and quantum information, 2002.Leonas Valkunas, Darius Abramavicius, and Tomas Mancal. Molecular excitation dynamics and relaxation: quantum theory and spectroscopy. John Wiley & Sons, 2013.Abraham Nitzan. Chemical dynamics in condensed phases: relaxation, transfer and reactions in condensed molecular systems. Oxford university press, 2006.Jianshu Cao, Richard J Cogdell, David F Coker, Hong-Guang Duan, J¨urgen Hauer, Ulrich Kleinekath¨ofer, Thomas LC Jansen, Tom´aˇs Manˇcal, RJ Dwayne Miller, Jennifer P Ogilvie, et al. Quantum biology revisited. Science advances, 6(14):eaaz4888, 2020.Luis E Herrera Rodriguez and Alexei A Kananenka. Convolutional neural networks for long time dissipative quantum dynamics. The Journal of Physical Chemistry Letters, 12(9):2476–2483, 2021.Felix Binder, Luis A Correa, Christian Gogolin, Janet Anders, and Gerardo Adesso. Thermodynamics in the quantum regime: fundamental aspects and new directions, volume 195. Springer, 2019Yoshitaka Tanimura. Numerically “exact” approach to open quantum dynamics: The hierarchical equations of motion (heom). The Journal of chemical physics, 153(2):020901, 2020.H-D Meyer, Uwe Manthe, and Lorenz S Cederbaum. The multi-configurational timedependent hartree approach. Chemical Physics Letters, 165(1):73–78, 1990.Denis Kast and Joachim Ankerhold. Persistence of coherent quantum dynamics at strong dissipation. Physical review letters, 110(1):010402, 2013In´es De Vega and Daniel Alonso. Dynamics of non-markovian open quantum systems. Reviews of Modern Physics, 89(1):015001, 2017.Anthony J Leggett, SDAFMGA Chakravarty, Alan T Dorsey, Matthew PA Fisher, Anupam Garg, and Wilhelm Zwerger. Dynamics of the dissipative two-state system. Reviews of Modern Physics, 59(1):1, 1987.Ulrich Weiss. Quantum dissipative systems, volume 13. World scientific, 2012.Lajos Di´osi. Ohmic vs markovian heat bath—two-page-tutorial, 2012Helmut Wipf, RG Barnes, P Dantzer, H Grabert, DK Ross, HR Schober, and H Vehoff. Hydrogen in metals iii. properties and applications. 1997.Rudolph A Marcus. On the theory of oxidation-reduction reactions involving electron transfer. i. The Journal of chemical physics, 24(5):966–978, 1956.Rudolph A Marcus and Norman Sutin. Electron transfers in chemistry and biology. Biochimica et Biophysica Acta (BBA)-Reviews on Bioenergetics, 811(3):265–322, 1985.Diego Porras, F Marquardt, J Von Delft, and J Ignacio Cirac. Mesoscopic spin-boson models of trapped ions. Physical review A, 78(1):010101, 2008.Heinz-Peter Breuer, Francesco Petruccione, et al. The theory of open quantum systems. Oxford University Press on Demand, 2002.Gernot Schaller. Open quantum systems far from equilibrium, volume 881. Springer, 2014.Gernot Schaller. Theorie des quantentransports. 2021Alexander N¨ußeler, Ish Dhand, Susana F Huelga, and Martin B Plenio. Efficient simulation of open quantum systems coupled to a fermionic bath. Physical Review B, 101(15):155134, 2020.Ahsan Nazir and Gernot Schaller. The reaction coordinate mapping in quantum thermodynamics. arXiv preprint arXiv:1805.08307, 2018.Howard M Wiseman and L Di´osi. Complete parameterization, and invariance, of diffusive quantum trajectories for markovian open systems. Chemical Physics, 268(1-3):91–104, 2001.Howard Carmichael. An open systems approach to quantum optics: lectures presented at the Universit´e Libre de Bruxelles, October 28 to November 4, 1991, volume 18. Springer Science & Business Media, 2009.Heinz-Peter Breuer, Francesco Petruccione, et al. The theory of open quantum systems. Oxford University Press on Demand, 2002.Goran Lindblad. On the generators of quantum dynamical semigroups. Communications in Mathematical Physics, 48(2):119–130, 1976.Andy Chia and Howard Mark Wiseman. Complete parametrizations of diffusive quantum monitorings. Physical Review A, 84(1):012119, 2011.Scott Hill and William K Wootters. Entanglement of a pair of quantum bits. Physical review letters, 78(26):5022, 1997.Andreas Buchleitner, Carlos Viviescas, and Markus Tiersch. Entanglement and decoherence: foundations and modern trends, volume 768. Springer Science & Business Media, 2008.Jia-dong Shi, Dong Wang, and Liu Ye. Entanglement revive and information flow within the decoherent environment. Scientific reports, 6:30710, 2016.Ugo Fano. Effects of configuration interaction on intensities and phase shifts. Physical Review, 124(6):1866, 1961.Philip Warren Anderson. Localized magnetic states in metals. Physical Review, 124(1):41, 1961.PB Wiegmann and AM Tsvelick. Exact solution of the anderson model: I. Journal of Physics C: Solid State Physics, 16(12):2281, 1983.Patrick P Hofer, Mart´ı Perarnau-Llobet, L David M Miranda, G´eraldine Haack, Ralph Silva, Jonatan Bohr Brask, and Nicolas Brunner. Markovian master equations for quantum thermal machines: local versus global approach. New Journal of Physics, 19(12):123037, 2017.Bijay Kumar Agarwalla and Dvira Segal. The anderson impurity model out-of-equilibrium: Assessing the accuracy of simulation techniques with an exact current-occupation relation. The Journal of chemical physics, 147(5):054104, 2017.InvestigadoresLICENSElicense.txtlicense.txttext/plain; charset=utf-84675https://repositorio.unal.edu.co/bitstream/unal/82258/1/license.txtb577153cc0e11f0aeb5fc5005dc82d8aMD51ORIGINALReaction_coodinate_map__thesis_work__final.pdfReaction_coodinate_map__thesis_work__final.pdfTesis de Maestría en Ciencias - Físicaapplication/pdf4351370https://repositorio.unal.edu.co/bitstream/unal/82258/3/Reaction_coodinate_map__thesis_work__final.pdfd9ec26e9c297c2ef17ab8aef907c270eMD53THUMBNAILReaction_coodinate_map__thesis_work__final.pdf.jpgReaction_coodinate_map__thesis_work__final.pdf.jpgGenerated Thumbnailimage/jpeg5861https://repositorio.unal.edu.co/bitstream/unal/82258/4/Reaction_coodinate_map__thesis_work__final.pdf.jpgd445615e213e4674ae8d2c612d3a32c5MD54unal/82258oai:repositorio.unal.edu.co:unal/822582023-08-09 23:04:08.894Repositorio Institucional Universidad Nacional de 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