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Bound states in the radiation continuum and a resonant generation of second harmonics in double arrays of subwavelength dielectric cylinders
Bound states radiation continuum subwavelength dielectric cylinder second harmonics
2011/8/24
Abstract: A nonlinear electromagnetic scattering problem is studied for two parallel periodic arrays of dielectric cylinders with a second order nonlinear susceptibility. For a wide range of values of...
A hyperdeterminant for 2 x 2 x 3 arrays
hyperdeterminant representation theory Lie algebras computational linear algebra
2011/7/28
Abstract: We use the representation theory of Lie algebras and computational linear algebra to determine the simplest nonconstant invariant polynomial in the entries of a general 2 x 2 x 3 array. This...
Absence of scaling in transport through two-dimensional nanoparticle arrays
Absence of scaling two-dimensional nanoparticle arrays
2010/11/17
We analyze the transport in disordered two-dimensional nanoparticle arrays. We show that the
commonly used scaling hypothesis to fit the I-V curves does not describe the electronic transport in these...
Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
Controlling qubit arrays anisotropic XXZ Heisenberg interaction acting single qubit
2010/11/9
We investigate anisotropic $XXZ$ Heisenberg spin-1/2 chains with control fields acting on one of the end spins, with the aim of exploring local quantum control in arrays of interacting qubits. In this...
Integrated photonic 3D waveguide arrays for quantum random walks on a circle
Integrated 3D waveguide quantum random circle
2010/11/5
Quantum random walks (QRWs) can be used to perform both quantum simulations and quantum algorithms. In order to exploit this potential, quantum walks on different types of graphs must be physically im...