Symmetry breaking in Bose-Einstein condensates confined by a funnel potential

In this paper we consider a Bose-Einstein condensate in self-attraction regime, confined transversely by a funnel-like potential and axially by a double-well potential formed by the combination of two inverted Poschl-Teller potentials. The system is well described by a one-dimensional nonpolynomial Schrodinger equation, for which we analyze the symmetry break of the wave function that describes the particle distribution of the condensate. The symmetry break was observed for several interaction strength values as a function of the minimum potential well. In addition, we analyzed the symmetric and asymmetric solutions using a real-time evolution method, in which it was possible to confirm the stability of the results. Finally, a comparison with the cubic nonlinear Schrodinger equation and the full Gross-Pitaevskii equation were performed to check the accuracy of the effective equation used here. (C) 2022 Elsevier B.V. All rights reserved.