55 citations · 109 across the 11 of their papers we have counts for
11 papers
Operator based propagation of Whittaker and Helmholtz Gauss beams
M. A. Jacome Silva, I. Julian Macias, F. Soto Eguibar +4
We introduce a compact operator-based technique that solves the paraxial wave equation for a broad class of structured light fields. Using the spatial evolution operator to propaga…
Effects of classical drivings on the power broadening of atomic lineshapes
L. Hernández-Sánchez, I. A. Bocanegra-Garay, I. Ramos-Prieto +2
In the framework of the Jaynes-Cummings model, we investigate how atomic lineshapes are affected by coherently driving the atom-field interaction. We pay particular attention to th…
Invariant approach to the Driven Jaynes-Cummings model
I. Bocanegra, L. Hernández-Sánchez, I. Ramos-Prieto +2
We investigate the dynamics of the driven Jaynes-Cummings model, where a two-level atom interacts with a quantized field and both, atom and field, are driven by an external classic…
Exact solution for the interaction of two decaying quantized fields
L. Hernández-Sánchez, I. Ramos-Prieto, F. Soto-Eguibar +1
We show that the Markovian dynamics of two coupled harmonic oscillators may be analyzed using a Schrödinger equation and an effective non-Hermitian Hamiltonian. This may be achieve…
Approximate evolution for a system composed by two coupled Jaynes-Cummings Hamiltonians
I. Ramos-Prieto, A. Paredes, J. Récamier +1
In this work we construct an approximate time evolution operator for a system composed by two coupled Jaynes-Cummings Hamiltonians. We express the full time evolution operator as a…
Dynamical analysis of mass-spring models using Lie algebraic methods
Alejandro R. Urzúa, Irán Ramos-Prieto, Francisco Soto-Eguibar +1
The dynamical analysis of vibrational systems of masses interconnected by restitution elements each with a single degree of freedom, and different configurations between masses and…
Quantum harmonic oscillator with time dependent mass
I. Ramos-Prieto, A. Espinosa-Zúñiga, M. Fernández-Guasti +1
We use the Fourier operator to transform a time dependent mass quantum harmonic oscillator into a frequency dependent one. Then we use Lewis-Ermakov invariants to solve the Schrödi…
Ultracold two-level atom in a quadratic potential
F. Soto-Eguibar, A. Zúñiga-Segundo, B. M. Rodríguez-Lara +1
We use a right unitary decomposition to study an ultracold two-level atom interacting with a quantum field. We show that such a right unitary approach simplifies the numerical evol…
Quantum derivation of Manley Rowe type relations
M. Fernández Guasti, H. Moya-Cessa
The Ermakov Lewis quantum invariant for the time dependent harmonic oscillator is expressed in terms of number and phase operators. The identification of these variables is made in…
Alternative analysis to perturbation theory
J. Martinez-Carranza, F. Soto-Eguibar, H. Moya-Cessa
We develop an alternative approach to time independent perturbation theory in non-relativistic quantum mechanics. The method developed has the advantage to provide in one operation…
Coherent states for time dependent harmonic oscillator: the step function
H. Moya-Cessa, M. Fernandez-Guasti
We study the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency. It is based on an approximate analytic solution to the time dependent Erm…