声学区域中二维玻色 - 爱因斯坦凝聚体的通用自相似演化
Universal self-similar evolution of two-dimensional acoustic turbulence in Bose-Einstein condensates
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中文总结 AI 辅助
研究二维玻色 - 爱因斯坦凝聚体在非平衡态下的演化，通过对格罗斯 - 皮塔耶夫斯基方程及波动动力学方程数值模拟，识别出自相似解，其传播前沿动力学通用，由无量纲常数β控制并确定了β值。
中文摘要 AI 辅助
当玻色 - 爱因斯坦凝聚体偏离平衡态时，会产生非线性相互作用的密度波，引发湍流级联并将能量转移到小尺度。本文研究二维格罗斯 - 皮塔耶夫斯基方程解的非定常演化。通过对格罗斯 - 皮塔耶夫斯基方程和相应波动动力学方程的数值模拟，识别出与原子和极化子玻色 - 爱因斯坦凝聚体相关的自相似解，这些解具有第一类和第二类自相似性特征。特别地，传播前沿的动力学是通用的，由无量纲通用常数β控制，文中通过数值方法确定了β的值。
英文摘要
When driven out of equilibrium, a Bose-Einstein condensate develops nonlinearly interacting density waves that trigger a turbulent cascade, transferring energy toward small scales. In this Letter, we investigate the nonstationary evolution of solutions to the two-dimensional Gross-Pitaevskii equation (GPE). Through numerical simulations of both the GPE and the corresponding Wave Kinetic Equation (WKE), we identify self-similar solutions relevant to turbulence in atomic and polariton Bose-Einstein Condensates. These solutions correspond to a new type of non-thermal fixed point and exhibit characteristics of both first and second kind self-similarity. In particular, we show that the dynamics of the propagating front is universal, governed by a dimensionless universal constant $β$, which we determine numerically.
