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arXiv · 2111.01390

Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential

Yi-Piao Wu·Guo-Qing Zhang·Cai-Xia Zhang·Jian Xu·Dan-Wei Zhang
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Abstract

We investigate the mean-field energy spectrum and dynamics in a Bose-Einstein condensate in a double-well potential with non-Hermiticity from the nonreciprocal hopping, and show that the interplay of nonreciprocity and nonlinearity leads to exotic properties. Under the two-mode and mean-field approximations, the nonreciprocal generalization of the nonlinear Schr\"{o}dinger equation and Bloch equations of motion for this system are obtained. We analyze the PT phase diagram and the dynamical stability of fixed points. The reentrance of PT-symmetric phase and the reformation of stable fixed points with increasing the nonreciprocity parameter are found. Besides, we uncover a linear self-trapping effect induced by the nonreciprocity. In the nonlinear case, the self-trapping oscillation is enhanced by the nonreciprocity and then collapses in the PT-broken phase, and can finally be recovered in the reentrant PT-symmetric phase.

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Yi-Piao Wu, Guo-Qing Zhang, Cai-Xia Zhang, Jian Xu, Dan-Wei Zhang. 2021-11-02. Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential. https://doi.org/10.1007/s11467-021-1133-2

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