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

Andrey E. Miroshnichenko*, Boris A. Malomed, Yuri S. Kivshar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

192 Scopus citations

Abstract

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.

Original languageEnglish
Article number012123
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume84
Issue number1
DOIs
StatePublished - 28 Jul 2011

Fingerprint

Dive into the research topics of 'Nonlinearly PT-symmetric systems: Spontaneous symmetry breaking and transmission resonances'. Together they form a unique fingerprint.

Cite this