Nonlinearly PT-symmetric systems: Spontaneous symmetry breaking and transmission resonances

作者:Miroshnichenko Andrey E*; Malomed Boris A; Kivshar Yuri S
来源:Physical Review A, 2011, 84(1): 012123.
DOI:10.1103/PhysRevA.84.012123

摘要

We consider a class of PT-symmetric systems which include mutually matched nonlinear loss and gain (in other words, a class of PT-invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system in the form of a dimer, symmetric and asymmetric eigenstates, including multistable ones, are found analytically. We demonstrate that, if coupled to a linear chain, such a nonlinear PT-symmetric dimer generates previously unexplored types of nonlinear Fano resonances, with completely suppressed or greatly amplified transmission, as well as a regime similar to the electromagnetically induced transparency. The implementation of the systems is possible in various media admitting controllable linear and nonlinear amplification of waves.

  • 出版日期2011-7-28