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20182026
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quant-ph2025

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…

quant-ph2024

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…

quant-ph2024

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…

quant-ph2021

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…

quant-ph2021

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…

quant-ph2021

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…