Jennie D'Ambroise

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We consider the eigenvalue problem for one-dimensional linear Schrödinger lattices (tight-binding) with an embedded few-sites linear or nonlinear, Hamiltonian or non-conservative defect (an oligomer). Such a problem arises when considering scattering states in the presence of (generally complex) impurities as well as in the stability analysis of nonlinear(More)
We introduce a ladder-shaped chain with each rung carrying a parity-time- (PT-) symmetric gain-loss dimer. The polarity of the dimers is staggered along the chain, meaning alternation of gain-loss and loss-gain rungs. This structure, which can be implemented as an optical waveguide array, is the simplest one which renders the system PT-symmetric in both(More)
We introduce a simple model for implementing the concepts of quasi-energy and parametric resonances (PRs) in systems with the PT symmetry, i.e., a pair of coupled and mutually balanced gain and loss elements. The parametric (ac) forcing is applied through periodic modulation of the coefficient accounting for the coupling of the two degrees of freedom. The(More)
GENERALIZED EMP AND NONLINEAR SCHRÖDINGER-TYPE REFORMULATIONS OF SOME SCALAR FIELD COSMOLOGICAL MODELS MAY 2010 JENNIE D’AMBROISE, B.S., UNIVERSITY OF MASSACHUSETTS AT AMHERST Ph.D., UNIVERSITY OF MASSACHUSETTS AT AMHERST Directed by: Professor Floyd L. Williams We show that Einstein’s gravitational field equations for the FriedmannRobertson-Lemâıtre-Walker(More)
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