9 citations · 31 across the 24 of their papers we have counts for
24 papers
From Rings to Top-Hat beams
M. A. Jácome-Silva, I. Julían-Macías, I. Ramos-Prieto +4
We present the exact analytical paraxial propagation of structured light beams that transition from Ring annular profiles to top-hat intensity distributions. The initial field is d…
Paraxial beam propagation from Airy-type initial conditions via the Operator Method
I. Julían-Macías, M. A. Jácome-Silva, I. Ramos-Prieto +4
We employ quantum mechanical operator techniques to solve the equations of and for paraxial waves with initial conditions defined by Airy-type functions. In the f…
Unitary transformation approach to the paraxial wave equation
M. Huerta-Sandoval, K. Uriostegui, I. Ramos-Prieto +2
We present a framework for the paraxial wave equation based on propagation-dependent unitary transformations closely related to the Lewis-Ermakov invariant. This approach establish…
Waveguide arrays interaction to second neighbors: Exact solution
M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar +1
We provide an analytical framework for describing the propagation of light in waveguide arrays, considering both infinite and semi-infinite cases. The interaction up to second neig…
Complete Rabi oscillations in the ion-laser interaction
M. A. García-Márquez, H. M. Moya-Cessa, I. Ramos-Prieto +1
We present the dynamics of a single harmonically trapped ion interacting with a laser, considering a linear combination of two eigenstates of the system as the initial state. The c…
Poynting vector for Cauchy-Riemann beams
I. Julián-Macías, F. Soto-Eguibar, I. Ramos Prieto +4
We present a detailed derivation of the Poynting vector for Cauchy-Riemann beams propagating in free space considering a Gaussian modulation with . The effect gen…
Exact solution of the master equation for interacting quantized fields at finite temperature decay
L. Hernández-Sánchez, I. A. Bocanegra-Garay, I. Ramos-Prieto +2
We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying…
Paraxial wave propagation: Operator techniques
H. M. Moya-Cessa, I. Ramos-Prieto, F. Soto-Eguibar +2
The similarity between the Schrödinger equation and the paraxial wave equation permits numerous analogies linking these fields, which is pivotal in advancing both quantum mechanics…
Some non-algebraic forms of
M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar +1
We present examples where expressions for can be derived even though the operators (or superoperators) and do not commute in a manner th…
Unified approach to paraxial propagation in uniform media and media with linear or quadratic refractive index distribution
N. Korneev, I. Ramos-Prieto, F. Soto-Eguibar +3
We report explicit equations and matrix representations that allow simple calculation between three different media (free space, linear and quadratic refractive index distributions…
Cauchy-Riemann beams in GRIN media
I. Ramos-Prieto, D. Sánchez-de-la-Llave, U. Ruíz +3
We investigate the propagation characteristics of Cauchy-Riemann beams in gradient-index media. Our study reveals two key findings: a) the preservation of their form during propaga…
Cauchy-Riemann beams
H. M. Moya-Cessa, I. Ramos-Prieto, D. Sánchez-de-la-Llave +3
By using operator techniques, we solve the paraxial wave equation for a field given by the multiplication of a Gaussian function and an entire function. The latter possesses a uniq…
Temporal evolution of a driven optomechanical system in the strong coupling regime
L. Medina-Dozal, J. Récamier, H. M. Moya-Cessa +4
We obtain a time-evolution operator for a forced optomechanical quantum system using Lie algebraic methods when the normalized coupling between the electromagnetic field and a mech…
Temporal factorization of a non-stationary electromagnetic cavity field
I. Ramos-Prieto, R. Román-Ancheyta, F. Soto-Eguibar +2
When an electromagnetic field is confined in a cavity of variable length, real photons may be generated from vacuum fluctuations due to highly nonadiabatic boundary conditions. The…
Exotic light transition between superluminal and subliminal group velocity in a coupled slab waveguide
B. M. Villegas-Martínez, H. M. Moya-Cessa, F. Soto-Eguibar
We propose a rigorous full-wave modal analysis based on the eigenmodes approach (\textquotedblleft supermodes\textquotedblright), that allows the calculation of the transverse elec…
Exact solution for the time dependent non-Hermitian generalized Swanson oscillator
B. M. Villegas-Martinez, H. M. Moya-Cessa, F. Soto-Eguibar
We produce an exact solution of the Schrödinger equation for the generalized time dependent Swanson oscillator. The system studied is a non-Hermitian setup characterized by time de…
Mathieu-Bragg photonic lattices
I. Ramos-Prieto, K. Uriostegui, J. Récamier +2
We show that Bragg diffraction may be modeled by classical light propagation in photonic lattices having a square power law for the refraction index coefficient. The dynamics is sh…
Exact solution of a non-stationary cavity with one intermode interaction
I. Ramos-Prieto, R. Román-Ancheyta, J. Récamier +1
A non-stationary one-dimensional cavity can be described by the time-dependent and multi-mode effective Hamiltonian of the so-called dynamical Casimir effect. Due to the non-adiaba…
Modeling displaced squeezed number states in waveguide arrays
B. M. Villegas-Martínez, H. M. Moya-Cessa, F. Soto-Eguibar
We present an exact analytical solution for a one-dimensional zigzag waveguide array with first and second neighbor interactions. It is found that the waveguide system possess a cl…
Multiphoton processes via conditional measurements in the two-field interaction
J. A. Anaya-Contreras, A. Zúñiga-Segundo, A. Perez-Leija +2
In this contribution, we show that the use of conditional measurements in the resonant interaction of two quantized electromagnetic fields gives rise to nonclassical multiphoton pr…
Approximate solutions for the ion-laser interaction in the high intensity regime: Matrix method perturbative analysis
B. M. Villegas-Martínez, H. M. Moya-Cessa, F. Soto-Eguibar
We provide an explicit expression for the second-order perturbative solution of a single trapped-ion interacting with a laser field in the strong excitation regime. From the pertur…
Effect of the nearby levels on the resonance fluorescence spectrum of the atom-field interaction
L. Villanueva-Vergara, F. Soto-Eguibar, H. M. Moya-Cessa
We study the resonance fluorescence in the Jaynes-Cummings model when nearby levels are taking into account. We show that the Stark shift produced by such levels generates a displa…
Conversion of any finite bandwidth optical field into a shape invariant beam
V. Arrizón, F. Soto-Eguibar, D. Sánchez-de-la-Llave +1
We discuss a method to transform any optical field, with finite frequency bandwidth, into a shape invariant beam with transverse scaling, dependent on the propagation distance. The…
Structure invariant wave packets
V. Arrizón, F. Soto-Eguibar, H. M. Moya-Cessa
We show that by adding a quadratic phase to an initial arbitrary wavefunction, its free evolution maintains an invariant structure while it spreads by the action of an squeeze oper…