Bifurcations in Resonance Widths of an Open Bose-Hubbard Dimer

الأصل · EN

We investigate the structure of resonance widths of a Bose-Hubbard Dimer with intersite hopping amplitude k, which is coupled to continuum at one of the sites with strength γ. Using an effective non-Hermitian Hamiltonian formalism, we show that by varying the on-site interaction term χ the resonances undergo consequent bifurcations. For Λ=k/γ≥ 0.5, the bifurcation points follow a scaling law χₙ ≡ χₙ N/k = fΛ(n-0.5/Λ), where N is the number of bosons. For the function fΛ two different Λ dependences are found around the minimum and the maximum bifurcation point.