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

• URL: http://arxiv.org/abs/2111.01390v2
• Date: Mon, 6 Dec 2021 17:51:23 GMT
• Title: Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Authors: Yi-Piao Wu, Guo-Qing Zhang, Cai-Xia Zhang, Jian Xu, and Dan-Wei Zhang
• Abstract summary: We investigate the mean-field energy spectrum and dynamics in a Bose-Einstein condensate in a double-well potential with non-Hermiticity. We show that the interplay of nonreciprocity and nonlinearity leads to exotic properties.
• Score: 3.633076738357535
• License: http://creativecommons.org/licenses/by/4.0/
• 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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