In this book, SRR based Metamaterial can be shown by performing extensive quantum calculations using classical breathers and two-phonon bound state (TPBS) or quantum breather state. The latter was done in a periodic and non-periodic boundary condition approach which is presented to characterize discrete breathers. Secondly, using boundary condition as non-periodic, the of time advancement of quanta shows in terms of 'critical' time of redistribution of quanta or phonons that is proportional to QB's lifetime in femtosecond having a possibility for Terra Hertz applications.