Role of Coupling of Discrete Breathers in SRR based Metamaterials

Abstract:

The presence of classical discrete breathers and then a two-phonon bound state (TPBS) or quantum breather (QB) state through detailed quantum calculations have already been shown in nonlinear photonic materials, such as ferroelectrics. The latter was done in a periodic boundary condition in terms of variations of TPBS parameters against impurity that is related to nonlinearity. Metamaterials are also nonlinear optical materials for applications as split-ring-resonator (SRR) in the antenna arrays. By using a Klein-Gordon approach, first multi-solitons and classical breathers are shown. For QBs, by using a periodic boundary condition, the variation of the TPBS parameters with coupling within the SRR elements is observed. Finally, in a non-periodic boundary condition approach, the temporal evolution of number of quanta is shown eventually to derive the critical time of redistribution of quanta that is proportional to QB’s lifetime in femtosecond, which also shows variation with coupling in the SRR system.

Keywords: Metamaterials, Discrete Breathers, Klein-Gordon Lattice, Quantum Breathers

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Our main focus is directed towards temporal evolution of such quantum breathers in a non-periodic boundary condition approach with an eye on THz applications, as these engineered materials show a large magnetic response at THz frequency. This has also application in quantum computation, as the coherent quantum dynamics of ‘qubits’ determines the THZ optical properties in the system.

(Physica Scripta, Vol. 86 (2012) 015601)