4,693 research outputs found

    The social representation that adolescents from Jalisco, Mexico have of early detection of breast cancer [Representación social que los adolescentes de Jalisco, México, tienen de la detección precoz del cáncer de mama]

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    We consider a new exactly solvable nonlinear quantum model as a Hamiltonian defined in terms of the generators of the suq(2) algebra. The corresponding matrix elements of finite rotations (the q-deformed Wigner d functions) are introduced. It is shown that the quantum optical model of the three-wave interaction has an approximate suq(2) dynamical symmetry given by this Hamiltonian. Such q symmetry allows us to investigate the spectral and dynamical properties of the three wave model through new perturbation techniques. " 2001 MAIK "Nauka/Interperiodica".",,,,,,"10.1134/1.1432904",,,"http://hdl.handle.net/20.500.12104/45297","http://www.scopus.com/inward/record.url?eid=2-s2.0-0035562287&partnerID=40&md5=ce1aefa21bf31ef099081d8b7db172f3",,,,,,"12",,"Physics of Atomic Nuclei",,"209

    The suq(2) algebra in the off-diagonal basis and applications to quantum optics

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    We consider a new exactly solvable nonlinear quantum model as a Hamiltonian defined in terms of the generators of the suq(2) algebra. The corresponding matrix elements of finite rotations (the q-deformed Wigner d functions) are introduced. It is shown that the quantum optical model of the three-wave interaction has an approximate suq(2) dynamical symmetry given by this Hamiltonian. Such q symmetry allows us to investigate the spectral and dynamical properties of the three wave model through new perturbation techniques. © 2001 MAIK "Nauka/Interperiodica"

    Cavity quantum electrodynamics in a strong-field limit

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    Many n-level atoms with arbitrary degeneracy of levels placed in a perfect cavity are described by the Hamiltonian H = (a a + H) + g(aX+ + a X-), where a , a are cavity-mode operators, h is the bare atomic Hamiltonian, and X+, X- are atomic-transition operators obeying commutation relations [h, H ] = x , which implies RWA and excitation-number conservation. The fact that we do not impose any conditions on the commutator [X+, X-] gives a freedom in atomic system specification. For simplicity, we adopt the exact resonance condition: transition frequencies between neighboring levels equal to the field frequency ?. Consider initial coherent field state |??, ? ? ?n?ei?, with a large photon number. In the classical-field limit, the interaction Hamiltonian becomes proportional to Hcl = ei?X+ + e-i?X-. We determined the semiclassical eigenvectors (SE) to be Hcl|p?at = ?p o|p?at. Now, let the initial atomic state be a SE. Then the system wave function is approximately factorized for times up to gt approx. n? and has the form |?(t)? ? |?p(t)?f ? |Ap(t)?at, |?p(t)?f = ?n pn exp[-igt?(p)(0)?n-C+ 1/2 ] | n?f, |Ap(t)?at = exp(-i?t)exp(-it?ph)|p? at, ?-p$/ ? g?p 0/(2?n? - C + 1/2 ), (1) where pn are the initial coherent-state amplitudes, C is the energy ground level of the bare atomic system, and exp(-i?t) is a phase factor, which we do not specify here. Equations (1) imply that as the field and atomic subsystems evolve, they remain approximately in pure states in spite of their interation. The mean atomic energy ?h(t)? is constant, i.e., the SEs are trapping states. An arbitrary initial atomic state can be expanded in the SE basis. Therefore Eqs. (1) contain all the dynamical information; e.g., they imply atomic energy oscillations, collapses, and revivals. Our solution provides explicit calculation of any physical quantities for the systems under study

    On the spectrum of a Hamiltonian defined on suq(2) and quantum optical models

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    Analytical expressions are given for the eigenvalues and eigenvectors of a Hamiltonian with suq(2) dynamical symmetry. The relevance of such an operator in quantum optics is discussed. As an application, the ground-state energy in the Dicke model is studied through suq(2) perturbation theory

    A Hardware architecture designed to implement the GFM paradigm

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    Written by major contributors to the field who are well known within the community, this is the first comprehensive summary of the many results generated by this approach to quantum optics to date. As such, the book analyses selected topics of quantum optics, focusing on atom-field interactions from a group-theoretical perspective, while discussing the principal quantum optics models using algebraic language. The overall result is a clear demonstration of the advantages of applying algebraic methods to quantum optics problems, illustrated by a number of end-of-chapter problems. An invaluable source for atomic physicists, graduates and students in physics. " 2009 Wiley-VCH Verlag GmbH & Co. KGaA.",,,,,,"10.1002/9783527624003",,,"http://hdl.handle.net/20.500.12104/38999","http://www.scopus.com/inward/record.url?eid=2-s2.0-78649731073&partnerID=40&md5=20524a67574f664e22edab900bcada78",,,,,,,,"A Group-Theoretical Approach to Quantum Optics: Models of Atom-Field Interactions",,"

    On the SU(2) Wigner function dynamics

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    We study the quantum dynamics of the SU(2) quasiprobability distribution ("Wigner function") for the simple nonlinear Hamiltonian (finite analog of the Kerr medium, H = Sz 2). The quasiclassical approximation for the Wigner function and the corresponding evolution of mean values are considered and compared with the exact and classical solutions

    Long-time behaviour of atomic inversion for the Jaynes-Cummings model in a strong thermal field

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    The quantum corrections to the semiclassical dynamics of atomic inversion in a strong thermal field do not depend on the intensity of the field in the large time range gt << ??8n? (where n? is the average photon number and g is the coupling constant). (C) 1999 Published by Elsevier Science B.V

    Gaussians on the circle and quantum phase

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    We show that the phase distribution function for a strong quantum radiation field can be represented in terms of the Jacobi elliptic function ?3(z | q). This representation simplifies calculation of phase properties of the field. � 1997 Elsevier Science B.V

    Gaussians on the circle and quantum phase

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    We show that the phase distribution function for a strong quantum radiation field can be represented in terms of the Jacobi elliptic function Θ3(z | q). This representation simplifies calculation of phase properties of the field. © 1997 Elsevier Science B.V
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