Dynamics of an erbium-doped fiber laser with pump modulation: Theory and experiment

Abstract

When implemented using a reasonable Hamiltonian, the tomography of a three-level ? atom is complicated by the equidistant energy levels of the atom. This restricts the possible transformations to those in the SO(3) subgroup of SU(3). Although complete reconstruction is possible for a single ? atom using a continuous set of tomograms, the discrete optimal set of tomograms, related to mutually unbiased bases in dimension 3, are not accessible by time evolution. We discuss here the search for an optimal set of discrete basis states compatible with the reduced SO(3) symmetry of the system. " 2010 The Royal Swedish Academy of Sciences.",,,,,,"10.1088/0031-8949/2010/T140/014026",,,"http://hdl.handle.net/20.500.12104/40823","http://www.scopus.com/inward/record.url?eid=2-s2.0-78650914418&partnerID=40&md5=0a448286ed7c6bc162e2c5e3224cae68",,,,,,,,"Physica Scripta T",,,,"T140",,"Scopus

WOS",,,,,,,,,,,,"Dynamical symmetry reduction and discrete tomography of a ? atom",,"Conference Paper" "42603","123456789/35008",,"Berman, G.P., Theoretical Division and the CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, United States, Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation; Campbell, D.K., Department of Physics, Univ. Illinois at Urbana-Champaign, 1110 West Green St., Urbana, IL 61801-3080, United States; Doolen, G.D., Theoretical Division and the CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, United States; López, G.V., Departamento de Física, Universidad de Guadalajara, Corregidora 500, S. R. 44420, Guadalajara, Jalisco, Mexico; Tsifrinovich, V.I., Polytechnic University, Six Metrotech Center, Brooklyn, NY 11201, United States",,"Berman, G.P.

Campbell, D.K.

Doolen, G.D.

Lopez, G.V.

Tsifrinovich, V.I.",,"1997",,"We present the results of computer simulations of dynamics of the quantum Control-Not gate for the system of two spins connected by a weak Ising interaction. It is demonstrated that, for both "digital" and "superposition" initial conditions, a resonant ?-pulse can provide an adequate implementation of the quantum Contol-Not gate. We also consider the influence of slightly non-resonant ?-pulse and noise on the dynamics of the quantum Control-Not gate.",,,,,,,,,"http://hdl.handle.net/20.500.12104/40824","http://www.scopus.com/inward/record.url?eid=2-s2.0-0031237957&partnerID=40&md5=662a550024dcc67ae58411bf05879324",,,,,,"01-feb",,"Physica B: Condensed Matter",,"61

67",,"240",,"Scopus

WOS",,,,,,,,,,,,"Dynamics of a Control-Not gate for a quantum system of two weakly interacting spins",,"Article" "42604","123456789/35008",,"Berman, G.P., Theoretical Division, CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, United States; Doolen, G.D., Theoretical Division, CNLS, Los Alamos National Laboratory, Los Alamos, NM 87545, United States; López, G.V., Departamento de Física, Universidad de Guadalajara, Corregidora 500, S.R. 44420, Guadalajara, Jalisco, Mexico; Tsifrinovich, V.I., Dept. of Appl. Math. and Physics, Polytechnic University, Six Metrotech Center, Brooklyn, NY 11201, United States",,"Berman, G.P.

Doolen, G.D.

Lopez, G.V.

Tsifrinovich, V.I.",,"1998",,"We investigate numerically a single-electromagnetic-pulse implementation of a quantum control-not (CN) gate for an ensemble of Ising spin systems at room temperature. For an ensemble of four-spin "molecules" we simulate the time evolution of the density matrix for both digital and superpositional initial conditions. Our numerical calculations confirm the feasibility of implementation of a quantum CN gate in this system at finite temperature, using a single electromagnetic ? pulse. We also study the quantum dynamics of creating entangled states in a macroscopic paramagnetic spin system at low temperatures, and compare the related quantum and corresponding classical dynamics. In the quantum case, one can create entangled states using a resonant interaction between the spin system and the electromagnetic ? pulse. In the classical limit, the interaction of the spin system with the same pulse becomes nonresonant and the corresponding classical dynamics differs significantly from the quantum dynamics. This difference in the behavior of the macroscopic magnetization can be used in experiments as an indication of the existence of entangled states.",,,,,,,,,"http://hdl.handle.net/20.500.12104/40825","http://www.scopus.com/inward/record.url?eid=2-s2.0-0000086994&partnerID=40&md5=7351022f72ab0be1f64bb7e347ef31e3",,,,,,"17",,"Physical Review B - Condensed Matter and Materials Physics",,"11570

11576",,"58",,"Scopus

WOS",,,,,,,,,,,,"Dynamics of a quantum control-not gate for an ensemble of four-spin molecules at room temperature",,"Article" "42605","123456789/35008",,"Pisarchik, A.N., Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon 37150, Mexico; Kir'yanov, A.V., Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon 37150, Mexico; Barmenkov, Y.O., Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, Leon 37150, Mexico; Jaimes-Reategui, R., Universidad de Guadalajara, Campus Universitario Los Lagos, Enrique Diaz, Paseo de Las Montanas, C.P. 47460 Lagos del Moreno, Jalisco, Mexico",,"Pisarchik, A.N.

Kir'yanov, A.V.

Barmenkov, Y.O.

Jaimes-Reategui, R.",,"2005",,"We study in detail the complex dynamics of an erbium-doped fiber laser that has been subjected to harmonic modulation of a diode pump laser. We introduce a novel laser model that describes perfectly all experimentally observed features. The model is generalized to a nonlinear oscillator. The coexistence of different periodic and chaotic regimes and their relation to subharmonics and higher harmonics of the relaxation oscillation frequency of the laser are demonstrated with codimensional-one and codimensional-two bifurcation diagrams in parameter space of the modulation frequency and amplitude. The phase difference between the laser response and the pump modulation is also investigated. " 2005 Optical Society of America.