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 *\mathcal{PT}*-symmetric nonlinear Schr\"odinger dimer with linear and cubic coupling. The dimer also... Show more

May 27, 2014

Loading full text...

Similar articles

Loading recommendations...

x1

An exactly solvable $\mathcal{PT}$-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss

Click on play to start listening