Multiphoton supercoherent states

Díaz-Bautista, Erik; Fernández, J C David

doi:10.1140/epjp/i2019-12423-7

Cited by 5 publications

(6 citation statements)

References 92 publications

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“…According to the expansion in Eq. (18), where Ψ n are the eigenfunctions of the Dirac-Weyl Hamiltonian (see Eq. ( 2)), for the graphene coherent states we have that…”

Section: Mean Energy Valuementioning

confidence: 99%

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Graphene coherent states

Díaz-Bautista

2017

Eur. Phys. J. Plus

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In this paper we will construct the coherent states for a Dirac electron in graphene placed in a constant homogeneous magnetic field which is orthogonal to the graphene surface. First of all, we will identify the appropriate annihilation and creation operators. Then, we will derive the coherent states as eigenstates of the annihilation operator, with complex eigenvalues. Several physical quantities, as the Heisenberg uncertainty product, probability density and mean energy value, will be as well explored.

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“…According to the expansion in Eq. (18), where Ψ n are the eigenfunctions of the Dirac-Weyl Hamiltonian (see Eq. ( 2)), for the graphene coherent states we have that…”

Section: Mean Energy Valuementioning

confidence: 99%

“…As we shall see below, under particular physical conditions, a problem similar to that considered in [18] arises naturally. Due to this, it seems obvious the need to build up the coherent states for the graphene, and then to analyze their properties.…”

Section: Introductionmentioning

confidence: 99%

Graphene coherent states

Díaz-Bautista

2017

Eur. Phys. J. Plus

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“…On the other hand, it would be important to find out if this treatment can be also applied to other systems, whose energy levels are not equally spaced, as well as to their SUSY partner Hamiltonians. Both ideas represent interesting research subjets which are currently under study [43,44].…”

Section: Discussionmentioning

confidence: 99%

Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases

Castillo-Celeita¹,

Díaz-Bautista²,

C.³

2019

Phys. Scr.

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In this paper we will realize the polynomial Heisenberg algebras through the harmonic oscillator. We are going to construct then the Barut-Girardello coherent states, which coincide with the so-called multiphoton coherent states, and we will analyze the corresponding Heisenberg uncertainty relation and Wigner distribution function for some particular cases. We will show that these states are intrinsically quantum and cyclic, with a period being a fraction of the oscillator period. The associated geometric phases will be as well evaluated. * mfcastillo@fis.cinvestav.mx † ediaz@fis.cinvestav.mx. Present address:

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“…This relation implies that the set of operators {θ + , θ − , 1} generate a Heisenberg-Weyl (HW) algebra [92][93][94]. Now, the action of the operators θ ± on the eigenfunctions ψ n in ( 21) is…”

Section: Annihilation Operatormentioning

confidence: 99%

Phase-space representation of Landau and electron coherent states for uniaxially strained graphene

Díaz-Bautista

Betancur-Ocampo

2020

Phys. Rev. B

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Recent experimental advances in the reconstruction of the Wigner function (WF) in electronic systems have led us to consider the possibility of employing this theoretical tool in the analysis of electron dynamics of uniaxially strained graphene. In this work, we study the effect of strain on the WF of electrons in graphene under the interaction of a uniform magnetic field. This mechanical deformation modifies drastically the shape of the Wigner and Husimi function of Landau and coherent states. The WF has a different behavior straining the material along the zigzag direction in comparison with the armchair one and favors the obtention of electron coherent states. The time evolution of the WF for electron coherent states shows fluctuations between classical and quantum behavior with a local maximum value moving in a closed path. The phase-space representation shows more clearly the effect of non-equidistant of relative Landau levels in the time evolution of electron coherent states than other approaches. Our findings may be useful in establishing protocols for the realization of electron coherent states in graphene as well as a bridge between condensed matter and quantum optics.

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Multiphoton supercoherent states

Cited by 5 publications

References 92 publications

Graphene coherent states

Graphene coherent states

Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases

Phase-space representation of Landau and electron coherent states for uniaxially strained graphene

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