Symmetry in Quantum Optics Models
Prototypical quantum optics models, such as the Jaynes–Cummings, Rabi, Tavis–Cummings, and Dicke models, are commonly analyzed with diverse techniques, including analytical exact solutions, mean-field theory, exact diagonalization, and so on. Analysis of these systems strongly depends on their symme...
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| Формат: | Online |
| Мова: | Англійська |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Онлайн доступ: | 42724 |
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| _version_ | 1863732246470459392 |
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| author | Lamata, Lucas |
| author_browse | Lamata, Lucas |
| author_facet | Lamata, Lucas |
| author_sort | Lamata, Lucas |
| collection | Directory of Open Access Books |
| description | Prototypical quantum optics models, such as the Jaynes–Cummings, Rabi, Tavis–Cummings, and Dicke models, are commonly analyzed with diverse techniques, including analytical exact solutions, mean-field theory, exact diagonalization, and so on. Analysis of these systems strongly depends on their symmetries, ranging, e.g., from a U(1) group in the Jaynes–Cummings model to a Z2 symmetry in the full-fledged quantum Rabi model. In recent years, novel regimes of light–matter interactions, namely, the ultrastrong and deep-strong coupling regimes, have been attracting an increasing amount of interest. The quantum Rabi and Dicke models in these exotic regimes present new features, such as collapses and revivals of the population, bounces of photon-number wave packets, as well as the breakdown of the rotating-wave approximation. Symmetries also play an important role in these regimes and will additionally change depending on whether the few- or many-qubit systems considered have associated inhomogeneous or equal couplings to the bosonic mode. Moreover, there is a growing interest in proposing and carrying out quantum simulations of these models in quantum platforms such as trapped ions, superconducting circuits, and quantum photonics. In this Special Issue Reprint, we have gathered a series of articles related to symmetry in quantum optics models, including the quantum Rabi model and its symmetries, Floquet topological quantum states in optically driven semiconductors, the spin–boson model as a simulator of non-Markovian multiphoton Jaynes–Cummings models, parity-assisted generation of nonclassical states of light in circuit quantum electrodynamics, and quasiprobability distribution functions from fractional Fourier transforms. |
| format | Online |
| id | doab-20.500.12854ir-60384 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-603842023-12-20T18:40:30Z Symmetry in Quantum Optics Models Lamata, Lucas Q1-390 QC1-999 microwave photons n/a circuit quantum electrodynamics fractional Fourier transform spin-boson model reconstruction of the wave function multiphoton processes quantum entanglement topological excitations Floquet light–matter interaction semiconductors quasiprobability distribution functions dynamical mean field theory global spectrum superconducting circuits Jaynes-Cummings model quantum Rabi model quantum simulation non-equilibrium stark-effect integrable systems bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general Prototypical quantum optics models, such as the Jaynes–Cummings, Rabi, Tavis–Cummings, and Dicke models, are commonly analyzed with diverse techniques, including analytical exact solutions, mean-field theory, exact diagonalization, and so on. Analysis of these systems strongly depends on their symmetries, ranging, e.g., from a U(1) group in the Jaynes–Cummings model to a Z2 symmetry in the full-fledged quantum Rabi model. In recent years, novel regimes of light–matter interactions, namely, the ultrastrong and deep-strong coupling regimes, have been attracting an increasing amount of interest. The quantum Rabi and Dicke models in these exotic regimes present new features, such as collapses and revivals of the population, bounces of photon-number wave packets, as well as the breakdown of the rotating-wave approximation. Symmetries also play an important role in these regimes and will additionally change depending on whether the few- or many-qubit systems considered have associated inhomogeneous or equal couplings to the bosonic mode. Moreover, there is a growing interest in proposing and carrying out quantum simulations of these models in quantum platforms such as trapped ions, superconducting circuits, and quantum photonics. In this Special Issue Reprint, we have gathered a series of articles related to symmetry in quantum optics models, including the quantum Rabi model and its symmetries, Floquet topological quantum states in optically driven semiconductors, the spin–boson model as a simulator of non-Markovian multiphoton Jaynes–Cummings models, parity-assisted generation of nonclassical states of light in circuit quantum electrodynamics, and quasiprobability distribution functions from fractional Fourier transforms. 2021-02-12T05:04:35Z 2021-02-12T05:04:35Z 2019-12-09 16:39:37 2019 book 42724 9783039218592 9783039218585 https://directory.doabooks.org/handle/20.500.12854/60384 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1833 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-859-2 10.3390/books978-3-03921-859-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039218592 9783039218585 92 open access |
| spellingShingle | Q1-390 QC1-999 microwave photons n/a circuit quantum electrodynamics fractional Fourier transform spin-boson model reconstruction of the wave function multiphoton processes quantum entanglement topological excitations Floquet light–matter interaction semiconductors quasiprobability distribution functions dynamical mean field theory global spectrum superconducting circuits Jaynes-Cummings model quantum Rabi model quantum simulation non-equilibrium stark-effect integrable systems bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general Lamata, Lucas Symmetry in Quantum Optics Models |
| title | Symmetry in Quantum Optics Models |
| title_full | Symmetry in Quantum Optics Models |
| title_fullStr | Symmetry in Quantum Optics Models |
| title_full_unstemmed | Symmetry in Quantum Optics Models |
| title_short | Symmetry in Quantum Optics Models |
| title_sort | symmetry in quantum optics models |
| topic | Q1-390 QC1-999 microwave photons n/a circuit quantum electrodynamics fractional Fourier transform spin-boson model reconstruction of the wave function multiphoton processes quantum entanglement topological excitations Floquet light–matter interaction semiconductors quasiprobability distribution functions dynamical mean field theory global spectrum superconducting circuits Jaynes-Cummings model quantum Rabi model quantum simulation non-equilibrium stark-effect integrable systems bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general |
| topic_facet | Q1-390 QC1-999 microwave photons n/a circuit quantum electrodynamics fractional Fourier transform spin-boson model reconstruction of the wave function multiphoton processes quantum entanglement topological excitations Floquet light–matter interaction semiconductors quasiprobability distribution functions dynamical mean field theory global spectrum superconducting circuits Jaynes-Cummings model quantum Rabi model quantum simulation non-equilibrium stark-effect integrable systems bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general |
| url | 42724 |
| work_keys_str_mv | AT lamatalucas symmetryinquantumopticsmodels |