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

Journal Article · Fri Jul 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.012123· OSTI ID:22038606

Miroshnichenko, Andrey E; Kivshar, Yuri S ^[1]; Malomed, Boris A ^[2]

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1. Nonlinear Physics Centre, Australian National University, Canberra, Australian Capital Territory 0200 (Australia)
2. Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, IL-69978 Tel Aviv (Israel)

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.

• OSTI ID: 22038606
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
EIGENSTATES
HAMILTONIANS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
RESONANCE
SYMMETRY BREAKING
TRANSMISSION