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- W2021346022 abstract "The extended Gross-Pitaevskii equation for the Bose-Einstein condensation of gases with attractive 1/r-interaction has a second solution which is born together with the ground state in a tangent bifurcation. At the bifurcation point both states coalesce, i.e., the energies and the wave functions are identical. We investigate the bifurcation point in the context of exceptional points, a phenomenon known for linear non-Hermitian Hamiltonians. We point out that the mean field energy, the chemical potential, and the wave functions show the same behavior as an exceptional point in a linear, non-symmetric system. The analysis of the analytically continued Gross-Pitaevskii equation reveals complex waves at negative scattering lengths below the tangent bifurcation. These solutions are interpreted as a decay of the condensate caused by an absorbing potential." @default.
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- W2021346022 date "2008-01-25" @default.
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- W2021346022 title "Discovery of exceptional points in the Bose-Einstein condensation of gases with attractive<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>r</mml:mi></mml:mrow></mml:math>interaction" @default.
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- W2021346022 doi "https://doi.org/10.1103/physreva.77.013618" @default.
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