29 citations · 127 across the 36 of their papers we have counts for
25 papers · 1 filter
Lewis-Ermakov approach for the time-dependent two-level system
M. Huerta-Sandoval, I. Ramos-Prieto, H. M. Moya-Cessa
We construct an explicit Lewis-Ermakov-type dynamical invariant for time-dependent two-level systems by exploiting their algebraic correspondence with the time-dependent harmonic o…
The Dirac sea of phase: Unifying phase paradoxes and Talbot revivals in multimode waveguides
N. Korneev, I. Ramos-Prieto, H. M. Moya-Cessa
The quantum mechanical description of phase remains a fundamental challenge, with theoretical efforts tracing from the early works of London and Dirac to discrete formalisms. In th…
An operator approach to the Madelung-Bohm continuity equation
M. A. García-Márquez, H. M. Moya-Cessa, I. Ramos-Prieto +1
We solve the probability continuity equation within the Madelung-Bohm framework, assuming a separable phase expressed as . Using operator methods, we…
The anisotropic quantum Rabi model with diamagnetic term
Jorge A. Anaya-Contreras, Irán Ramos-Prieto, Arturo Zúñiga-Segundo +1
We employ a squeeze operator transformation approach to solve the anisotropic quantum Rabi model that includes a diamagnetic term. By carefully adjusting the amplitude of the diama…
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…
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…
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…
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…
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…
Effects of squeezing on the power broadening and shifts of micromaser lineshapes
L. Hernández-Sánchez, I. Ramos-Prieto, F. Soto-Eguibar +1
It is well known that AC Stark shifts have an impact on the dynamics of atoms interacting with a near-resonant quantized single-mode cavity field, which is relevant for single-atom…
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…
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…
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…
Ion-laser-like interaction in optomechanical systems with Kerr nonlinearities
I. Ramos-Prieto, R. Román-Ancheyta, J. Récamier +2
Introducing a Kerr medium in a cavity coupled to a harmonically moving mirror, we reproduce known and solvable interactions such as two-coupled harmonic oscillators and ion-laser l…
Approximate evolution for a hybrid system: An optomechanical Jaynes-Cummings model
L. Medina-Dozal, I. Ramos-Prieto, J. Récamier
In this work we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes Cummings Hamiltonian. Using…
Heat flow reversal in a trapped-ion simulator
P. U. Medina González, I. Ramos Prieto, B. M. Rodríguez-Lara
We propose a trapped-ion platform to simulate a reconfigurable spin-spin Hamiltonian related to quantum thermodynamic processes. Starting from an experimental model describing two…
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…
Generation of quasi-rectangle-states of the vibrational motion of an ion
Irán Ramos-Prieto, Iván Rincón, Víctor Arrizon +1
We show how to generate quasi-rectangle-states of the vibrational motion of an ion, this is, states that have the same probability in a given position interval. We produce those st…
Time dependent coupled harmonic oscillators
Alejandro R. Urzúa, Héctor M. Moya-Cessa, Irán Ramos-Prieto +1
We show that, by using the quantum orthogonal functions invariant, we are able to solve a coupled of time dependent harmonic oscillators where all the time dependent frequencies ar…
KvN mechanics approach to the time-dependent frequency harmonic oscillator
Irán Ramos-Prieto, Alejandro R. Urzúa-Pineda, Francisco Soto-Eguibar +1
Using the Ermakov-Lewis invariants appearing in KvN mechanics, the time-dependent frequency harmonic oscillator is studied. The analysis builds upon the operational dynamical model…
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…
Dynamical Casimir effect in stochastic systems: photon-harvesting through noise
R. Román-Ancheyta, I. Ramos-Prieto, A. Perez-Leija +2
We theoretically investigate the dynamical Casimir effect in a single-mode cavity endowed with a driven off-resonant mirror. We explore the dynamics of photon generation as a funct…