Qubit-nonlinear-oscillator systems: from the moderate-coupling limit to the ultrastrong-coupling regime

Santos-Sánchez, O de los

doi:10.1088/1751-8121/aac9e4

Cited by 3 publications

(1 citation statement)

References 57 publications

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“…They can be understood as deformations of the usual Lie algebras giving rise to the concept of qp-deformed bosons. In quantum optics many authors have studied the q-deformed Jaynes-Cummings (JC) and Dicke models, which are obtained by replacing the usual creation and annihilation bosonic operators by their corresponding qp-deformed operators [9][10][11][12][13]. Different choices of the deformation function yield to different models and hence to new physics.…”

Section: Introductionmentioning

confidence: 99%

Quantum phase transition of two-level atoms interacting with a finite radiation field

Quezada,

Martín-Ruiz,

Frank

2019

Preprint

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We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The later is described by a spin model which exhibits the main properties of the Kerr medium, and whose main feature is that it possesses a maximum number of excitations. We use the energy surface minimization method to demonstrate that the extended Dicke model exhibits a quantum phase transition, and we analyse its dependence upon the maximum number of excitations of the model. Our analysis is carried out via three methods: through mean-field analysis (i.e. by using the tensor product of coherent states), by using parity-preserving symmetry-adapted states (using the critical values obtained in the meanfield analysis and numerically minimizing the energy surface) and by means of the exact quantum solution (i.e. by numerically diagonalizing the Hamiltonian). Possible connections with the qpdeformed algebras are also discussed.

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Section: Introductionmentioning

confidence: 99%

Quantum phase transition of two-level atoms interacting with a finite radiation field

Quezada,

Martín-Ruiz,

Frank

2019

Preprint

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Quantum phase transition of two-level atoms interacting with a finite radiation field

Quezada

Martín-Ruiz

Frank

2020

Journal of Mathematical Physics

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We introduce a group-theoretical extension of the Dicke model, which describes an ensemble of two-level atoms interacting with a finite radiation field. The latter is described by a spin model whose main feature is that it possesses a maximum number of excitations. The approach adopted here leads to a nonlinear extension of the Dicke model that takes into account both the intensity dependent coupling between the atoms and the radiation field and an additional nonlinear Kerr-like or Pösch–Teller-like oscillator term, depending on the degree of nonlinearity. We use the energy surface minimization method to demonstrate that the extended Dicke model exhibits a quantum phase transition, and we analyze its dependence upon the maximum number of excitations of the model. Our analysis is carried out via three methods: through mean-field analysis (i.e., by using the tensor product of coherent states), by using parity-preserving symmetry-adapted states (using the critical values obtained in the mean-field analysis and numerically minimizing the energy surface), and by means of the exact quantum solution (i.e., by numerically diagonalizing the Hamiltonian). Possible connections with the qp-deformed algebras are also discussed.

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Phase-space quantum profile of Pöschl-Teller two-level systems

Bernardini

Rocha

2019

Eur. Phys. J. Plus

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The quantum phase-space dynamics driven by hyperbolic Pöschl-Teller (PT) potentials is investigated in the context of the Weyl-Wigner quantum mechanics. The obtained Wigner functions for quantum superpositions of ground and first-excited states exhibit some non-classical and non-linear patterns which are theoretically tested and quantified according to a non-Gaussian continuous variable framework. It comprises the computation of quantifiers of non-classicality for an anharmonic two-level system where non-Liouvillian features are identified through the phase-space portrait of quantum fluctuations. In particular, the associated non-Gaussian profiles are quantified by measures of kurtosis and negative entropy. As expected from the PT quasi-harmonic profile, our results suggest that quantum wells can work as an experimental platform that approaches the Gaussian behavior in the investigation of the interplay between classical and quantum scenarios. Furthermore, it is also verified that the Wigner representation admits the construction of a two-particle bipartite quantum system of continuous variables, A and B, which are shown to be separable under Gaussian and non-Gaussian continuous variable criteria.

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Qubit-nonlinear-oscillator systems: from the moderate-coupling limit to the ultrastrong-coupling regime

Cited by 3 publications

References 57 publications

Quantum phase transition of two-level atoms interacting with a finite radiation field

Quantum phase transition of two-level atoms interacting with a finite radiation field

Quantum phase transition of two-level atoms interacting with a finite radiation field

Phase-space quantum profile of Pöschl-Teller two-level systems

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