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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Main Author: Lamata, Lucas (auth)
Format: Book Chapter
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
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Online Access:Get Fullteks
DOAB: description of the publication
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100 1 |a Lamata, Lucas  |4 auth 
245 1 0 |a Symmetry in Quantum Optics Models 
260 |b MDPI - Multidisciplinary Digital Publishing Institute  |c 2019 
300 |a 1 electronic resource (92 p.) 
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520 |a 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. 
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546 |a English 
653 |a microwave photons 
653 |a n/a 
653 |a circuit quantum electrodynamics 
653 |a fractional Fourier transform 
653 |a spin-boson model 
653 |a reconstruction of the wave function 
653 |a multiphoton processes 
653 |a quantum entanglement 
653 |a topological excitations 
653 |a Floquet 
653 |a light-matter interaction 
653 |a semiconductors 
653 |a quasiprobability distribution functions 
653 |a dynamical mean field theory 
653 |a global spectrum 
653 |a superconducting circuits 
653 |a Jaynes-Cummings model 
653 |a quantum Rabi model 
653 |a quantum simulation 
653 |a non-equilibrium 
653 |a stark-effect 
653 |a integrable systems 
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