论文标题
在玻色恩斯坦（Bose-Einstein
Symmetry Breaking in Bose-Einstein Condensates Confined by a Funnel Potential
论文作者
论文摘要
在这项工作中，我们考虑了在自我关注方向上的Bose-Einstein凝结物，横向限制了漏斗样的电势，并由两个倒置的Pöschl-Teller电位组合形成的双孔电势。该系统通过一维非多物质Schrödinger方程进行了很好的描述，为此，我们分析了描述冷凝物颗粒分布的波函数的对称性断裂。观察到几个相互作用强度值与最小电位井的函数观察到对称性断裂。获得了量子相图，其中可以识别系统的三个阶段，即对称相（约瑟夫森），不对称相（自发对称性破坏-SSB）和折叠状态，即折叠状态，即，该状态为系统而言，代表系统的溶液，代表了系统的固定解决方案。我们使用实时进化方法分析了对称和不对称溶液，其中可以确认结果的稳定性。最后，进行了与立方非线性schrödinger方程和完整的毛pitaevskii方程的比较，以检查此处使用的有效方程的准确性。
In this work, we consider a Bose-Einstein condensate in the self-focusing regime, confined transversely by a funnel-like potential and axially by a double-well potential formed by the combination of two inverted Pöschl-Teller potentials. The system is well described by a one-dimensional nonpolynomial Schrödinger 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. A quantum phase diagram was obtained, in which it is possible to recognize the three phases of the system, namely, symmetric phase (Josephson), asymmetric phase (spontaneous symmetry breaking - SSB), and collapsed states, i.e., those states for which the solution becomes singular, representing unstable solutions for the system. We analyzed our 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 Schrödinger equation and the full Gross-Pitaevskii equation were performed to check the accuracy of the effective equation used here.
