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首页> 外文期刊>Physical review, C >Application of the variational principle to a coherent-pair condensate: The BCS case
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Application of the variational principle to a coherent-pair condensate: The BCS case

机译：将变分原理的应用在连贯对冷凝物中的应用：BCS案例

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I propose a new algorithm that applies the variational principle to a coherent-pair condensate. The result is equivalent to that of the so-called variation after particle-number projection in the BCS case, but now the particle number is always conserved and the time-consuming projection is avoided. I derive analytical expressions for the average energy and its gradient in terms of the coherent-pair structure. In addition, I give analytically the pair structure at the energy minimum, and discuss its asymptotic behavior away from the Fermi surface, which looks quite simple and allows easy physical interpretations. The new algorithm iterates these pair-structure expressions to minimize energy. I demonstrate the new algorithm in a semirealistic example using the realisticV(low-k) interaction and large model spaces (up to 15 harmonic-oscillator major shells). The energy can be minimized to practically arbitrary precision. The result shows that the realistic Vlow-k interaction does not cause divergences in the pairing channel, although tiny occupation numbers (for example smaller than 10(-5)) contribute to the energy (by a few tens of keV).
机译：我提出了一种新的算法，将变分原理应用于连贯对冷凝物。结果相当于BCS壳体中粒子数投影之后所谓的变化的变化，但是现在始终节省粒子数并且避免耗时的投影。我在连贯对结构方面导出平均能量及其梯度的分析表达。此外，我在能量最小的情况下分析了对结构，并讨论其远离费米表面的渐近行为，看起来非常简单，并且允许容易的物理解释。新算法迭代这些对结构表达式以最小化能量。我使用真实性（低k）相互作用和大型模型空间（最多15个谐波振荡器主壳）展示了新算法。能量可以最小化以实际上是任意的精度。结果表明，现实的VLOW-K相互作用在配对通道中不会导致配对通道的分歧，尽管微小的占用号码（例如小于10（-5））有助于能量（通过几十kev）。

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