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20032026
most citedCoherent states for time dependent harmonic oscillator: the step function

55 citations · 109 across the 11 of their papers we have counts for

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9 papers · 1 filter

quant-ph2024

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…

quant-ph2023★ 15 cited

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…

quant-ph2023

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…

quant-ph2019

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…

quant-ph2017★ 19 cited

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…

quant-ph2014★ 3 cited

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…

quant-ph2013

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…

quant-ph2011★ 16 cited

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…

quant-ph2003★ 55 cited

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…