Hamiltonian formulation of the standard mathcal{PT}-symmetric nonlinear Schr\"odinger dimer
classification
🌊 nlin.SI
math-phmath.MP
keywords
dimermathcalstandardformulationhamiltoniannonlinearodingerschr
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The standard $\mathcal{PT}$-symmetric dimer is a linearly-coupled two-site discrete nonlinear Schr\"odinger equation with one site losing and the other one gaining energy at the same rate. We show that despite gain and loss, the standard $\mathcal{PT}$-dimer is a Hamiltonian system. We also produce a Lagrangian formulation for the dimer.
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