Bifurcations in resonance widths of an open Bose-Hubbard dimer
- 29 June 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 73 (6), 063625
- https://doi.org/10.1103/physreva.73.063625
Abstract
We investigate the structure of resonance widths of a Bose-Hubbard dimer with intersite hopping amplitude k, which is coupled to a 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 χ̃m≡χmN∕k=fΛ(m−0.5∕Λ), where N is the number of bosons. For the function fΛ two different Λ dependences are found around the minimum and maximum bifurcation points.Keywords
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