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Spectral singularities in PT-symmetric Bose-Einstein condensates (1303.0132v2)

Published 1 Mar 2013 in quant-ph, cond-mat.quant-gas, and nlin.CD

Abstract: We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given.

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