Thursday, 7 June 2012

Femtosecond Response of Quantum Discrete Breathers in SRR based Metamaterials and the Role of Dielectric Permittivity

Abstract:

The quantum breathers (QB) state in terms of two-phonon bound state (TPBS) via detailed quantum calculations was already shown in ferroelectrics in a periodic boundary condition. In this work on metamaterials for application in antenna arrays as split-ring resonators (SRR), only the temporal variation of the number of quanta in a non-periodic boundary condition is detailed for a Klein-Gordon lattice. A generalized Hamiltonian containing dielectric permittivity is considered which was then quantized by bosonic operators to study the temporal evolution of quanta. Moreover, the time of redistribution of quanta that is proportional to QB’s lifetime in femtosecond shows significant variation with different quanta at different values of dielectric permittivity, which has implications in the applications in relevant devices.

Keywords: Dielectric Permittivity, Metamaterials, Quantum Breathers, Femtosecond Response.
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For the experimentalists, one has to theoretically study temporal evolution of the quanta and vary the relevant parameters eventually to optimize the results, and only then one could make the device applications, e.g. in making antenna arrays, modulation instability based gadgets, in making quantum metamaterials based superconductors, etc. These engineered materials can be used in the Quantum Computation. The temporal evolution of the quanta at the correct value of coupling and dielectric permittivity could enable the required quantum coding for applications. The proposed quantum metamaterials should allow the additional ways of controlling the ‘propagation’ of electromagnetic waves that are not possible by normal classical structures. Indeed, the coherent quantum dynamics of ‘qubits’ determines the THZ optical properties in the system.  Therefore, from the point of view of THz and other applications, the present study assumes particular importance, as this is also a new area of research.
(Quantum Phys Lett, In Press, 2012)

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