Temporal dynamics in systems of qubits coupled to a bosonic mode
Through the numerical study of the properties of the temporal evolution of a state of a spin-boson system in the deep strong coupling regime, a rich structure of probability collapses and revivals is discovered. By analyzing the geometric properties of the trajectories of the Loschmidt amplitude ass...
- Autores:
-
Betancourt Valencia, José Manuel
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2021
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/54582
- Acceso en línea:
- http://hdl.handle.net/1992/54582
- Palabra clave:
- Dynamic quantum phase transitions
Quantum optics
Perturbation theory
Qubit
Bosones
Física
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nd/4.0/
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Temporal dynamics in systems of qubits coupled to a bosonic mode |
| title |
Temporal dynamics in systems of qubits coupled to a bosonic mode |
| spellingShingle |
Temporal dynamics in systems of qubits coupled to a bosonic mode Dynamic quantum phase transitions Quantum optics Perturbation theory Qubit Bosones Física |
| title_short |
Temporal dynamics in systems of qubits coupled to a bosonic mode |
| title_full |
Temporal dynamics in systems of qubits coupled to a bosonic mode |
| title_fullStr |
Temporal dynamics in systems of qubits coupled to a bosonic mode |
| title_full_unstemmed |
Temporal dynamics in systems of qubits coupled to a bosonic mode |
| title_sort |
Temporal dynamics in systems of qubits coupled to a bosonic mode |
| dc.creator.fl_str_mv |
Betancourt Valencia, José Manuel |
| dc.contributor.advisor.none.fl_str_mv |
Rodríguez Dueñas, Ferney Javier |
| dc.contributor.author.none.fl_str_mv |
Betancourt Valencia, José Manuel |
| dc.contributor.jury.none.fl_str_mv |
Quiroga Puello, Luis |
| dc.contributor.researchgroup.es_CO.fl_str_mv |
Grupo de materia condensada |
| dc.subject.keyword.none.fl_str_mv |
Dynamic quantum phase transitions Quantum optics Perturbation theory |
| topic |
Dynamic quantum phase transitions Quantum optics Perturbation theory Qubit Bosones Física |
| dc.subject.armarc.none.fl_str_mv |
Qubit Bosones |
| dc.subject.themes.es_CO.fl_str_mv |
Física |
| description |
Through the numerical study of the properties of the temporal evolution of a state of a spin-boson system in the deep strong coupling regime, a rich structure of probability collapses and revivals is discovered. By analyzing the geometric properties of the trajectories of the Loschmidt amplitude associated to the problem, a connection between rotation directions and the probability collapses is made. The sources of this structure are then related to systems with a higher number of qubits, shedding light on the possible emergence of dynamic quantum phase transitions in these systems. Lastly, various perturbative approaches are presented to attempt a theoretical understanding for the emergence of such a structure. |
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2021 |
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2021-12-13 |
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2022-02-08T14:03:49Z |
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2022-02-08T14:03:49Z |
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Trabajo de grado - Pregrado |
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eng |
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C Cohen-Tannoudji, J Dupont-Roc, and G Grynberg.Photons and Atoms: Introduction to Quantum Electrodynamics. Wiley, 1989. I. Thanopulos, E. Paspalakis, and Z. Kis. Laser-driven coherent manipulation of molecularchirality. Chemical Physics Letters, 390(1-3):228¿235, 5 2004. Michael A Nielsen and Isaac L Chuang.Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press, 2010. . I. Rabi. On the process of space quantization.Physical Review, 49(4):324¿328, 2 1936. R. H. Dicke. Coherence in spontaneous radiation processes.Physical Review, 93(1):99¿110, 1 1954 D. Braak. Integrability of the Rabi model.Physical Review Letters, 107(10):100401, 8 2011. F. Alexander Wolf, Marcus Kollar, and Daniel Braak. Exact real-time dynamics of the quantum Rabi model.Physical Review A - Atomic, Molecular, and Optical Physics, 85(5):053817, 5 2012 Daniel Z. Rossatto, Celso J. Villas-Bôas, Mikel Sanz, and Enrique Solano. Spectral classification of coupling regimes in the quantum Rabi model.Physical Review A, 96(1):013849, 7 2017. E. T. Jaynes and F. W. Cummings. Comparison of Quantum and Semiclassical Radiation Theories with Application to the Beam Maser.Proceedings of the IEEE, 51(1):89¿109, 1963 A Auffèves, D Gerace, M Richard, S Portolan, L C Kwek, M F Santos, and C Miniatura.Strong Light-matter Coupling: From Atoms to Solid-state Systems. World Scientific, 2014 Y. Todorov, A. M. Andrews, R. Colombelli, S. De Liberato, C. Ciuti, P. Klang, G. Strasser, and C. Sirtori. Ultrastrong light-matter coupling regime with polariton dots.Physical Review Letters, 105(19):196402, 11 2010 P. Forn-Díaz, J. Lisenfeld, D. Marcos, J. J. García-Ripoll, E. Solano, C. J.P.M. Harmans, and J. E. Mooij. Observation of the bloch-siegert shift in a qubit-oscillator system in the ultrastrongcoupling regime. Physical Review Letters, 105(23):237001, 11 2010. T. Niemczyk, F. Deppe, H. Huebl, E. P. Menzel, F. Hocke, M. J. Schwarz, J. J. Garcia-Ripoll, D. Zueco, T. Hümmer, E. Solano, A. Marx, and R. Gross. Circuit quantum electrodynamics in the ultrastrong-coupling regime.Nature Physics, 6(10):772¿776, 7 2010. Fumiki Yoshihara, Tomoko Fuse, Sahel Ashhab, Kosuke Kakuyanagi, Shiro Saito, and Kouichi Semba. Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime.Nature Physics, 13(1):44¿47, 1 2017 Harvey Gould and Jan Tobochnik.Statistical and thermal physics : with computer applications. Princeton University Press, 2010. Markus Heyl. Dynamical quantum phase transitions: A brief survey.EPL, 125(2):26001, 2 2019. M. Heyl, A. Polkovnikov, and S. Kehrein. Dynamical quantum phase transitions in the transverse-field ising model. Physical Review Letters, 110(13):135704, 3 2013 Klaus Hepp and Elliott H. Lieb. On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model.Annals of Physics, 76(2):360¿404, 4 1973. Ricardo Puebla. Finite-component dynamical quantum phase transitions.Physical Review B, 102(22):220302, 12 2020. Myung Joong Hwang, Ricardo Puebla, and Martin B. Plenio. Quantum Phase Transition and Universal Dynamics in the Rabi Model.Physical Review Letters, 115(18):180404, 10 2015. Markus Heyl. Dynamical quantum phase transitions: a review.Reports on Progress in Physics, 81(5):054001, 4 2018. T. D. Lee and C. N. Yang. Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model.Physical Review, 87(3):410, 8 1952. Steven M Girvin and Kun Yang Frontmatter.Modern Condensed Matter Physics Science. Cambridge University Press, 2019. Ricardo Puebla, Myung Joong Hwang, and Martin B. Plenio. Excited-state quantum phase transition in the Rabi model.Physical Review A, 94(2):023835, 8 2016. Barry M. Garraway. The Dicke model in quantum optics: Dicke model revisited.Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369(1939): 1137¿1155, 3 2011. Chengxiang Ding. Dynamical quantum phase transition from a critical quantum quench.Physical Review B, 102(6):060409, 8 2020. Alessia Allevi and Maria Bondani. Nonlinear and Quantum Optical Properties and Applications of Intense Twin-Beams.Advances in Atomic, Molecular and Optical Physics, 66:49¿110, 1 2017. R. M. Wilcox. Exponential Operators and Parameter Differentiation in Quantum Physics.Journal of Mathematical Physics, 8(4):962, 12 1967. J. R. Schrieffer and P. A. Wolff. Relation between the Anderson and Kondo Hamiltonians. Physical Review, 149(2):491, 9 1966. Myung Joong Hwang, Ricardo Puebla, and Martin B. Plenio. Quantum Phase Transition and Universal Dynamics in the Rabi Model.Physical Review Letters, 115(18):180404, 10 2015. |
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Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Rodríguez Dueñas, Ferney Javiervirtual::978-1Betancourt Valencia, José Manuela6c198db-979c-4fad-b773-fb7bf107660d600Quiroga Puello, LuisGrupo de materia condensada2022-02-08T14:03:49Z2022-02-08T14:03:49Z2021-12-13http://hdl.handle.net/1992/54582instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/Through the numerical study of the properties of the temporal evolution of a state of a spin-boson system in the deep strong coupling regime, a rich structure of probability collapses and revivals is discovered. By analyzing the geometric properties of the trajectories of the Loschmidt amplitude associated to the problem, a connection between rotation directions and the probability collapses is made. The sources of this structure are then related to systems with a higher number of qubits, shedding light on the possible emergence of dynamic quantum phase transitions in these systems. Lastly, various perturbative approaches are presented to attempt a theoretical understanding for the emergence of such a structure.FísicoPregrado58 páginasengUniversidad de los AndesFísicaFacultad de CienciasDepartamento de FísicaTemporal dynamics in systems of qubits coupled to a bosonic modeTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesishttp://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TPDynamic quantum phase transitionsQuantum opticsPerturbation theoryQubitBosonesFísicaC Cohen-Tannoudji, J Dupont-Roc, and G Grynberg.Photons and Atoms: Introduction to Quantum Electrodynamics. Wiley, 1989.I. Thanopulos, E. Paspalakis, and Z. Kis. Laser-driven coherent manipulation of molecularchirality. Chemical Physics Letters, 390(1-3):228¿235, 5 2004.Michael A Nielsen and Isaac L Chuang.Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press, 2010.. I. Rabi. On the process of space quantization.Physical Review, 49(4):324¿328, 2 1936.R. H. Dicke. Coherence in spontaneous radiation processes.Physical Review, 93(1):99¿110, 1 1954D. Braak. Integrability of the Rabi model.Physical Review Letters, 107(10):100401, 8 2011.F. Alexander Wolf, Marcus Kollar, and Daniel Braak. Exact real-time dynamics of the quantum Rabi model.Physical Review A - Atomic, Molecular, and Optical Physics, 85(5):053817, 5 2012Daniel Z. Rossatto, Celso J. Villas-Bôas, Mikel Sanz, and Enrique Solano. Spectral classification of coupling regimes in the quantum Rabi model.Physical Review A, 96(1):013849, 7 2017.E. T. Jaynes and F. W. Cummings. Comparison of Quantum and Semiclassical Radiation Theories with Application to the Beam Maser.Proceedings of the IEEE, 51(1):89¿109, 1963A Auffèves, D Gerace, M Richard, S Portolan, L C Kwek, M F Santos, and C Miniatura.Strong Light-matter Coupling: From Atoms to Solid-state Systems. World Scientific, 2014Y. Todorov, A. M. Andrews, R. Colombelli, S. De Liberato, C. Ciuti, P. Klang, G. Strasser, and C. Sirtori. Ultrastrong light-matter coupling regime with polariton dots.Physical Review Letters, 105(19):196402, 11 2010P. Forn-Díaz, J. Lisenfeld, D. Marcos, J. J. García-Ripoll, E. Solano, C. J.P.M. Harmans, and J. E. Mooij. Observation of the bloch-siegert shift in a qubit-oscillator system in the ultrastrongcoupling regime. Physical Review Letters, 105(23):237001, 11 2010.T. Niemczyk, F. Deppe, H. Huebl, E. P. Menzel, F. Hocke, M. J. Schwarz, J. J. Garcia-Ripoll, D. Zueco, T. Hümmer, E. Solano, A. Marx, and R. Gross. Circuit quantum electrodynamics in the ultrastrong-coupling regime.Nature Physics, 6(10):772¿776, 7 2010.Fumiki Yoshihara, Tomoko Fuse, Sahel Ashhab, Kosuke Kakuyanagi, Shiro Saito, and Kouichi Semba. Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime.Nature Physics, 13(1):44¿47, 1 2017Harvey Gould and Jan Tobochnik.Statistical and thermal physics : with computer applications. Princeton University Press, 2010.Markus Heyl. Dynamical quantum phase transitions: A brief survey.EPL, 125(2):26001, 2 2019.M. Heyl, A. Polkovnikov, and S. Kehrein. Dynamical quantum phase transitions in the transverse-field ising model. Physical Review Letters, 110(13):135704, 3 2013Klaus Hepp and Elliott H. Lieb. On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model.Annals of Physics, 76(2):360¿404, 4 1973.Ricardo Puebla. Finite-component dynamical quantum phase transitions.Physical Review B, 102(22):220302, 12 2020.Myung Joong Hwang, Ricardo Puebla, and Martin B. Plenio. Quantum Phase Transition and Universal Dynamics in the Rabi Model.Physical Review Letters, 115(18):180404, 10 2015.Markus Heyl. Dynamical quantum phase transitions: a review.Reports on Progress in Physics, 81(5):054001, 4 2018.T. D. Lee and C. N. Yang. Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model.Physical Review, 87(3):410, 8 1952.Steven M Girvin and Kun Yang Frontmatter.Modern Condensed Matter Physics Science. Cambridge University Press, 2019.Ricardo Puebla, Myung Joong Hwang, and Martin B. Plenio. Excited-state quantum phase transition in the Rabi model.Physical Review A, 94(2):023835, 8 2016.Barry M. Garraway. The Dicke model in quantum optics: Dicke model revisited.Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369(1939): 1137¿1155, 3 2011.Chengxiang Ding. Dynamical quantum phase transition from a critical quantum quench.Physical Review B, 102(6):060409, 8 2020.Alessia Allevi and Maria Bondani. Nonlinear and Quantum Optical Properties and Applications of Intense Twin-Beams.Advances in Atomic, Molecular and Optical Physics, 66:49¿110, 1 2017.R. M. Wilcox. Exponential Operators and Parameter Differentiation in Quantum Physics.Journal of Mathematical Physics, 8(4):962, 12 1967.J. R. Schrieffer and P. A. Wolff. Relation between the Anderson and Kondo Hamiltonians. Physical Review, 149(2):491, 9 1966.Myung Joong Hwang, Ricardo Puebla, and Martin B. Plenio. 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