Phase space picture of Morse-like coherent states based upon the Wigner function

Santos-Sánchez, O de los; Récamier, J.

doi:10.1088/1751-8113/45/41/415310

Cited by 8 publications

(20 citation statements)

References 44 publications

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“…In order to compute the integral of the wave functions ψ n (u, t) in (71) it is convenient to use together the following change of variables r = e − 2 v and ξ = e − u [44,45], so…”

Section: The Intensity Correlation Function the Mandel Parameter And ...mentioning

confidence: 99%

Photon-added BarutGirardello like coherent states of time-dependent Landau problem

Lawson¹,

Sodoga²,

Avossevou³

2021

Preprint

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Recently, we have determined the spectrum and the wave functions of the Hamiltonian of a Landau particle with time-dependent mass and frequency undergoing the influence of a uniform time-dependent electric field [J. Math. Phys. 56, 072104 (2018)]. In the present paper we extend the study of this model that we name the time-dependent Landau problem into the context of coherent states. By means of the traditional factorization method of the eigenfunctions of this system expressed in terms of the generalized Laguerre polynomials, we derive the generators of the su(1, 1) Lie algebra and we construct the coherent states à la Barut-Girardello. These states are shown to satisfy the Klauder's mathematical requirement to build coherent states and some of their statistical properties are calculated and analyzed. We find that these states are sub-Poissonian in nature. We show that, addition of photons from these coherent states, increases the statistical properties and changes the mathematical properties of these states.

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“…In order to compute the integral of the wave functions ψ n (u, t) in (71) it is convenient to use together the following change of variables r = e − 2 v and ξ = e − u [44,45], so…”

Section: The Intensity Correlation Function the Mandel Parameter And ...mentioning

confidence: 99%

Photon-added BarutGirardello like coherent states of time-dependent Landau problem

Lawson¹,

Sodoga²,

Avossevou³

2021

Preprint

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“…[39] and those concerning the Morse potential in Ref. [40]. Man'ko et al [41] and Filho [42], have introduced NCS as eigenstates of the deformed annihilation operator whereas the displacement operator NCS were derived in Ref.…”

Section: Mathematical Formalismmentioning

confidence: 99%

Bipartite Entanglement of Deformed Coherent States

Rouabah¹,

Mebarki²

2019

Preprint

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A q-deformed Weyl-Heisenberg algebra is used to define a deformed displacement operator giving rise to a naturally normalized nonlinear coherent states type as non-classical non-Gaussian quantum states playing a significant role in the entanglement distillation, quantum computation with cluster states and quantum error correction. Robust maximally entangled deformed coherent states are studied and the effect of such a deformation on the amount of the entanglement is discussed. The analogy between environment decoherence and algebra deformation is made through the deformation parameter.

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“…Notice that the harmonic-oscillator algebra is retrieved in the limit f (n) → 1. Incidentally, this algebraic framework has formerly been applied to cope with the problem of constructing approximate coherent states defined either as eigenstates of the deformed annihilation operator or by application of a displacement-like operator to the ground state of anharmonic systems, such as the Morse [28,29,30] and symmetric Pöschl-Teller potentials [31]. The latter ones are the class of systems that will be of interest to us and, at this point, we briefly digress to introduce them within their corresponding physical space.…”

Section: Symmetric Pöschl-teller-like Systems As Nonlinear Oscillatormentioning

confidence: 99%

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

Santos-Sánchez¹

2018

J. Phys. A: Math. Theor.

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This work aims to provide an alternative approach to modeling a two-state system (qubit) coupled to a nonlinear oscillator. Within a single algebraic scheme based upon the f-deformed oscillator description, hard and soft nonlinearities are proposed to be simulated by making use of fitting algebraic models extracted from the trigonometric and modified Pöschl-Teller potentials, respectively. In the regime where the strength of the coupling is considered to be moderate, this approach allows for an analytic, albeit approximate, diagonalization process of the proposed Hamiltonian through using the Van Vleck perturbation theory and embracing the two types of nonlinear features. In the ultrastrong-coupling regime, the effect of such nonlinearities upon the squeezing and phase space properties of the ground state of the composite system is also explored by numerical means.

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Phase space picture of Morse-like coherent states based upon the Wigner function

Cited by 8 publications

References 44 publications

Photon-added BarutGirardello like coherent states of time-dependent Landau problem

Photon-added BarutGirardello like coherent states of time-dependent Landau problem

Bipartite Entanglement of Deformed Coherent States

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

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