Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates

Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
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二元玻色-爱因斯坦凝聚中二维量子湍流的衰变

DOI:
10.1103/physreva.103.023301
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发表时间:
2021
期刊:
影响因子:
2.9
通讯作者:
Kevrekidis, Panayotis G.
Kevrekidis, Panayotis G.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Mithun, Thudiyangal;Kasamatsu, Kenichi;Dey, Bishwajyoti;Kevrekidis, Panayotis G.

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本文通过数值模拟Gross-Pitaevskii方程,研究了在谐波势阱和陡壁势阱中可混溶二元玻色-爱因斯坦凝聚体中的二维量子湍流。湍流是通过高斯搅拌势产生的。当凝结体具有不相等的组元内耦合强度或不对称的陷阱频率时,湍流凝结体经历剧烈的衰减动力学过程,形成交错排列的涡旋-反暗结构,即具有扩展涡核尺寸的同符号涡旋的准平衡态.当元件间耦合的参数不对称性或陷波频率增加时,这种状态的形成时间缩短。相应的不可压缩动能谱表现出两个值得注意的特征:(i)在由自旋恢复长度(扩展涡核的大小)确定的波数范围附近存在幂律;(ii)在由密度恢复长度确定的波数范围附近存在平坦区域。后者是与小尺度相位波动降级以外的Escheras-Fermi半径和更突出的组件间相互作用的强度接近的组件内相互作用的强度。我们还研究了椭圆陡壁阱中组元间相互作用对类符号涡旋团簇形成的影响,发现组元间相互作用导致团簇结构的衰减.
We study two-dimensional quantum turbulence in miscible binary Bose-Einstein condensates in either a harmonic trap or a steep-wall trap through the numerical simulations of the Gross-Pitaevskii equations. The turbulence is generated through a Gaussian stirring potential. When the condensates have unequal intracomponent coupling strengths or asymmetric trap frequencies, the turbulent condensates undergo a dramatic decay dynamics to an interlaced array of vortex-antidark structures, a quasiequilibrium state, of like-signed vortices with an extended size of the vortex core. The time of formation of this state is shortened when the parameter asymmetry of the intracomponent couplings or the trap frequencies is enhanced. The corresponding spectrum of the incompressible kinetic energy exhibits two noteworthy features: (i) apower law around the range of the wave number determined by the spin healing length (the size of the extended vortex core) and (ii) a flat region around the range of the wave number determined by the density healing length. The latter is associated with the small scale phase fluctuation relegated outside the Thomas-Fermi radius and is more prominent as the strength of intercomponent interaction approaches the strength of intracomponent interaction. We also study the impact of the intercomponent interaction to the cluster formation of like-signed vortices in an elliptical steep-wall trap, finding that the intercomponent coupling gives rise to the decay of the clustered configuration.
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