13 research outputs found
Observation of Asymmetric Transport in Structures with Active Nonlinearities
A mechanism for asymmetric transport based on the interplay between the
fundamental symmetries of parity (P) and time (T) with nonlinearity is
presented. We experimentally demonstrate and theoretically analyze the
phenomenon using a pair of coupled van der Pol oscillators, as a reference
system, one with anharmonic gain and the other with complementary anharmonic
loss; connected to two transmission lines. An increase of the gain/loss
strength or the number of PT-symmetric nonlinear dimers in a chain, can
increase both the asymmetry and transmittance intensities.Comment: 5 pages, 5 figure
High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schrödinger equation
While symplectic integration methods based on operator splitting are well established in many branches of science, high order methods for Hamiltonian systems that split in more than two parts have not been studied in great detail. Here, we present several high order symplectic integrators for Hamiltonian systems that can be split in exactly three integrable parts. We apply these techniques, as a practical case, for the integration of the disordered, discrete nonlinear Schrödinger equation (DDNLS) and compare their efficiencies. Three part split algorithms provide effective means to numerically study the asymptotic behavior of wave packet spreading in the DDNLS – a hotly debated subject in current scientific literature
Fano Resonances in Flat Band Networks
Linear wave equations on Hamiltonian lattices with translational invariance
are characterized by an eigenvalue band structure in reciprocal space. Flat
band lattices have at least one of the bands completely dispersionless. Such
bands are coined flat bands. Flat bands occur in fine-tuned networks, and can
be protected by (e.g. chiral) symmetries. Recently a number of such systems
were realized in structured optical systems, exciton-polariton condensates, and
ultracold atomic gases. Flat band networks support compact localized modes.
Local defects couple these compact modes to dispersive states and generate Fano
resonances in the wave propagation. Disorder (i.e. a finite density of defects)
leads to a dense set of Fano defects, and to novel scaling laws in the
localization length of disordered dispersive states. Nonlinearities can
preserve the compactness of flat band modes, along with renormalizing (tuning)
their frequencies. These strictly compact nonlinear excitations induce tunable
Fano resonances in the wave propagation of a nonlinear flat band lattice
Rate Equation Analysis of Frequency Chirp in Optically Injection-Locked Quantum Cascade Lasers
Publishe