Exact solution of the ion-laser interaction in all regimes (2010)
Zúñiga-Segundo, A., Vargas-Martínez, J. M., Juárez-Amaro, R., Moya-Cessa, H.
We show that in the trapped ion-laser interaction all the regimes may be considered analytically. We may solve not only for different laser intensities, but also away from resonance and from the...
New expressions for Laguerre and Hermite polynomials (2008)
New expressions for Laguerre and Hermite polynomials are shown. They are based on operator algebras commonly used in quantum mechanics.
Optical realization of a quantum beam splitter (2008)
We show how the quantum process of splitting light may be modelled in classical optics. A second result is the possibility to engineer specific forms of a classical field.
Arévalo-Aguilar, L. M., Juárez-Amaro, R., Vargas-Martínez, J. M., Aguilar-Loreto, O., Moya-Cessa, H.
We solve analytically master equations that describe a cavity filled with a kerr medium, taking into account the dissipation induced by the environment, and parametric down conversion processes. We...
Useful transformations: from ion-laser interactions to master equations (2008)
Juárez-Amaro, R., Vargas-Martínez, J. M., Moya-Cessa, H.
We show set of transformations which allow to obtain analytic solutions in several quantum-optical problems. We start with the ion-laser (time dependent) interaction, continue with the problem of a...
Non-Markovian interaction of many fields (2008)
We study the interaction between several fields initially in coherent states. The solution allows us to explain why coherent states remain coherent states when subject to non-Markovian dissipation....
Unifying distribution functions: some lesser known distributions (2008)
Moya-Cessa, J. R., Moya-Cessa, H., Berriel-Valdos, L. R., Aguilar-Loreto, O., Barberis-Blostein, P.
We show that there is a way to unify distribution functions that describe simultaneously a signal in space and (spatial) frequency. Probably the most known of them is the Wigner distribution...
Degree of polarization and quantum-mechanical purity (2008)
H. Moya-Cessa; Instituto Nacional De Astrofisica, Optica Y Electronica, J. R. Moya-Cessa; Centro De Investigaciones En Optica, A.C., J.E.A. Landgrave; Centro De Investigaciones En Optica, A.C., G. Martinez-Niconoff; Instituto Nacional De Astrofisica, Optica Y Electronica, A. Perez-Leija; Instituto Nacional De Astrofisica, Optica Y Electronica, A. T. Friberg; Helsinki University Of Technology
The purity parameter is used in quantum mechanics to discriminate pure states from mixed states. We employ this concept to define a degree of polarization for general, three-dimensional, classical...
Medición la función de Wigner para campos electromagnéticos en cavidades (2008)
Escudero Jiménez, J. L., Moya-Cessa, H.
EN ESTA CONTRIBUCIÓN MOSTRAMOS COMO LA FUNCIÓN DE WIGNER PUEDE SER MEDIDA EN CAVIDADES, PARA ESTO ESTUDIAMOS COMO PUEDEN SER DESPLAZADOS CAMPOS ELECTROMAGNÉTICOS CUANTIZADOS EN CAVIDADES. EL...
Medición la función de Wigner para campos electromagnéticos en cavidades (2008)
H. Moya-Cessa, J.L. Escudero Jiménez
En esta contribución mostramos como la función de Wigner puede ser medida en cavidades, para esto estudiamos como pueden ser desplazados campos electromagnéticos cuantizados en cavidades. El...
Sudden death and long-lived entanglement of two three-level trapped ions (2007)
Abdel-Aty, Mahmoud, Moya-Cessa, H.
The dynamical properties of quantum entanglement in two three-level trapped ions interacting with a laser field are studied in terms of the negative eigenvalues of the partial transposition of the...
Doughnut shape atom traps with arbitrary inclination (2006)
Rodríguez Masesgosa, R., Moya-Cessa, H., Chávez Cerda, S.
Desde la invención de la trampa magneto-óptica (TMO), ha habido varios estudios teóricos y experimentales sobre la distribución de densidad en tales dispositivos. Las distribuciones logradas han...
Scheme to measure squeezing and phase properties of a harmonic oscillator (2005)
Rubin-Linares, G. T., Moya-Cessa, H.
We propose a simple scheme to measure squeezing and phase properties of a harmonic oscillator. We treat in particular the case of a the field, but the scheme may be easily realized in ion traps. It...
On the quantum phase problem (2003)
Vargas-Martinez, J. M., Moya-Cessa, H.
We present a phase formalism that passes the Barnett-Pegg acid test, i.e. phase fluctuations for a number state are the expected value $\pi^2/3$ which are the fluctuations for a classical random...
Coherent states for time dependent harmonic oscillator: the step function (2003)
Moya-Cessa, H., Fernandez-Guasti, M.
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 Ermakov equation for a...
Dynamics of two atoms coupled to a cavity field (2003)
Roversi, J. A., Vidiella-Barranco, A., Moya-Cessa, H.
We investigate the interaction of two two-level atoms with a single mode cavity field. One of the atoms is exactly at resonance with the field, while the other is well far from resonance and hence is...
Wiseman, Howard Mark, Garretson, J, H. Moya-Cessa, R. Jauregui, S. Hacyan And O. Castaqos, H. Moya-Cessa
No
Guasti, M. Fernandez, Moya-Cessa, H.
The correspondence between classical and quantum invariants is established. The Ermakov Lewis quantum invariant of the time dependent harmonic oscillator is translated from the coordinate and...
Relation between the field quadratures and the characteristic function of a mirror (2002)
Rodriguez, B. M., Moya-Cessa, H.
We analyze the possibility of measuring the state of a movable mirror by using its interaction with a quantum field. We show that measuring the field quadratures allows to reconstruct the...
Direct measurement of the Q-function in a lossy cavity (2002)
Moya-Cessa, H., Juarez-Amaro, R., Ricardez-Vargas, I.
We show that the Q-function corresponding to an electromagnetic field in a lossy cavity can be directly measured by means of a simple scheme, therefore allowing the knowledge of the state of the...
Quantum bits and superposition displaced Fock states of the cavity field (2002)
Aguilar, L. Arevalo, Moya-Cessa, H.
We study the effects of counter rotating terms in the interaction of quantized light with a two-level atom, by using the method of small rotations. We give an expression for the wave function of the...
A family of exact eigenstates for a single trapped ion interacting with a laser field (2001)
Moya-Cessa, H., Jonathan, D., Knight, P. L.
We show that, under certain combinations of the parameters governing the interaction of a harmonically trapped ion with a laser beam, it is possible to find one or more exact eigenstates of the...
Analytical operator solution of master equations describing phase-sensitive processes (2001)
Vidiella-Barranco, A., Arevalo-Aguilar, Luis M., Moya-Cessa, H.
We present a method of solving master equations which may describe, in their most general form, phase sensitive processes such as decay and amplification. We make use of the superoperator technique.
Vibrational Superposition States Without Rotating Wave Approximation (2000)
Mancini, S., Moya-Cessa, H., Tombesi, P.
We propose a scheme to generate superpositions of coherent states for the vibrational motion of a laser cooled trapped-ion. It is based on the interaction with a standing wave making use of the...
Cavity Field Reconstruction at Finite Temperature (2000)
Moya-Cessa, H., Vidiella-Barranco, A., Tombesi, P., Roversi, J. A.
We present a scheme to reconstruct the quantum state of a field prepared inside a lossy cavity at finite temperature. Quantum coherences are normally destroyed by the interaction with an environment,...
Unitary transformation approach for the trapped ion dynamics (2000)
Moya-Cessa, H., Vidiella-Barranco, A., Roversi, J. A., Dutra, S. M.
We present a way of treating the problem of the interaction of a single trapped ion with laser beams based on successive aplications of unitary transformations onto the Hamiltonian. This allows the...
Nonextensive approach to decoherence in quantum mechanics (2000)
Vidiella-Barranco, A., Moya-Cessa, H.
We propose a nonextensive generalization (q parametrized) of the von Neumann equation for the density operator. Our model naturally leads to the phenomenon of decoherence, and unitary evolution is...
Filtering Number States of the Vibrational Motion of an Ion (1999)
We propose a scheme to generate number states (and specific superpositions of them) of the vibrational motion of a trapped ion. In particular, we show that robust to noise qubits can be generated...
Recovering coherence from decoherence: a method of quantum state reconstruction (1999)
Moya-Cessa, H., Roversi, J. A., Dutra, S. M., Vidiella-Barranco, A.
We present a feasible scheme for reconstructing the quantum state of a field prepared inside a lossy cavity. Quantum coherences are normally destroyed by dissipation, but we show that at zero...
Quantum state reconstruction in the presence of dissipation (1999)
Moya-Cessa, H., Dutra, S. M., Vidiella-Barranco, A., Roversi, J. A.
We propose a realistic scheme to determine the quantum state of a single mode cavity field even after it has started to decay due to the coupling with an environment. Although dissipation destroys...
Long-time-scale revivals in ion traps (1998)
Moya-Cessa, H., Vidiella-Barranco, A., Roversi, J. A., Freitas, Dagoberto S., Dutra, S. M.
In this contribution we investigate the interaction of a single ion in a trap with laser beams. Our approach, based on unitary transformating the Hamiltonian, allows its exact diagonalization without...