Simulating infinite vortex lattices in superfluids
Simulating infinite vortex lattices in superfluids
复制标题
模拟超流体中的无限涡旋晶格
DOI：
10.1088/0953-8984/28/28/285201
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
R. Barnett
中科院分区：
文献类型：
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作者：
Luca Mingarelli;E. Keaveny;R. Barnett
我们提出了一个有效的框架，数值处理的Gross-Pitaevskii理论描述的旋转超流体中的无限周期性涡格。通常使用的分步傅立叶（SSF）谱方法不适用于这样的系统，因为标准傅立叶变换不尊重磁平移组规定的边界条件。我们提出了一个概括的SSF方法，采用所谓的磁傅立叶变换，其中包括正确的边界条件。我们测试的方法，并表明，它减少到已知的结果在最低的朗道水平政权。虽然我们专注于旋转标量超流体为简单起见，框架可以自然地扩展到治疗多组分系统和系统下更一般的“合成”规范场。
We present an efficient framework to numerically treat infinite periodic vortex lattices in rotating superfluids described by the Gross–Pitaevskii theory. The commonly used split-step Fourier (SSF) spectral methods are inapplicable to such systems as the standard Fourier transform does not respect the boundary conditions mandated by the magnetic translation group. We present a generalisation of the SSF method which incorporates the correct boundary conditions by employing the so-called magnetic Fourier transform. We test the method and show that it reduces to known results in the lowest-Landau-level regime. While we focus on rotating scalar superfluids for simplicity, the framework can be naturally extended to treat multicomponent systems and systems under more general ‘synthetic’ gauge fields.