Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 47, Issue 28, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/28/282001
Keywords
PT-symmetry; exactly solvable model; nonlinear Schrodinger dimer; symmetry breaking; coupled optical waveguides
Categories
Funding
- NRF of South Africa [85751, 86991, 87814]
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We show that a pair of coupled nonlinear oscillators, of which one oscillator has positive and the other one negative damping of equal rate, can form a Hamiltonian system. Small-amplitude oscillations in this system are governed by a PT-symmetric nonlinear Schrodinger dimer with linear and cubic coupling. The dimer also represents a Hamiltonian system and is found to be exactly solvable in elementary functions. We show that the nonlinearity softens the PT-symmetry breaking transition in the nonlinearly-coupled dimer: stable periodic and quasiperiodic states with large enough amplitudes persist for an arbitrarily large value of the gain-loss coefficient.
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