An algebraic approach to the Tavis-Cummings problem

An algebraic method is introduced for an analytical solution of the eigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on polynomially deformed su(2), i.e. su_n(2), algebras. In this method the eigenvalue problem is solved in terms of a specific perturbation theory, developed here up to third order. Generalization to the N-atom case of the Rabi frequency and dressed states is also provided. A remarkable enhancement of spontaneous emission of N atoms in a resonator is found to result from collective effects.Comment: 13 pages, 7 figure

Entanglement Sharing in the Two-Atom Tavis-Cummings Model

Individual members of an ensemble of identical systems coupled to a common probe can become entangled with one another, even when they do not interact directly. We investigate how this type of multipartite entanglement is generated in the context of a system consisting of two two-level atoms resonantly coupled to a single mode of the electromagnetic field. The dynamical evolution is studied in terms of the entanglements in the different bipartite partitions of the system, as quantified by the I-tangle. We also propose a generalization of the so-called residual tangle that quantifies the inherent three-body correlations in our tripartite system. This enables us to completely characterize the phenomenon of entanglement sharing in the case of the two-atom Tavis-Cummings model, a system of both theoretical and experimental interest.Comment: 11 pages, 4 figures, submitted to PRA, v3 contains corrections to small error

"Tópicos de óptica cuántica. Guadalajara, Jalisco, México, 2005."

Colecci�n de investigadores miembros del Sistema Nacional de Investigadore

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]

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

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"

A Hardware architecture designed to implement the GFM paradigm

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",,"