We analyse the formation and the dynamics of quantum turbulence in a two-dimensional Bose–Einstein condensate with a Josephson junction barrier modeled using the Gross–Pitaevskii equation. We show that a sufficiently high initial superfluid density imbalance leads to randomisation of the dynamics and generation of turbulence, namely, the formation of a quasi-1D dispersive shock consisting of a train of grey solitons that eventually breakup into chains of distinct quantised vortices of alternating vorticity followed by random turbulent flow. The Josephson junction barrier allows us to create two turbulent regimes: acoustic turbulence on one side and vortex turbulence on the other. Throughout the dynamics, a key mechanism for mixing these two regimes is the transmission of vortex dipoles through the barrier: we analyse this scattering process in terms of the barrier parameters, sound emission and vortex annihilation. Finally, we discuss how the vortex turbulence evolves for long t...

中文翻译：

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Bose-Einstein凝聚物中约瑟夫森结振动的破坏和量子湍流的开始

我们使用Gross-Pitaevskii方程对约瑟夫森结势垒的二维玻色-爱因斯坦凝聚体中的量子湍流的形成和动力学进行了分析。我们显示出足够高的初始超流体密度不平衡会导致动力学随机化和湍流的产生，即，由一列灰色孤子组成的准一维弥散激波的形成，这些孤子最终分解成交变的不同量化涡旋链涡旋之后是随机湍流。约瑟夫森结屏障使我们能够创建两种湍流状态：一侧的声学湍流和另一侧的涡流湍流。在整个动力学过程中，混合这两种状态的关键机制是涡流偶极子通过势垒的传输：我们根据势垒参数，声发射和涡旋an灭来分析此散射过程。最后，我们讨论了涡流湍流如何长期发展。