Comparison of semiclassical and Wigner function methods in pair production in rotating fields
Comparison of semiclassical and Wigner function methods in pair production in rotating fields
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DOI：
10.1103/physrevd.93.025014
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发表时间：
2015-10
影响因子：
5
通讯作者：
A. Blinne;E. Strobel
中科院分区：
文献类型：
--
作者：
A. Blinne;E. Strobel
我们比较了两种计算脉冲旋转电场动量谱和Schwinger对产生速率的方法：一种是基于实时Dirac-Heisenberg-Wigner(DHW)形式和基于散射ansatz的半经典近似。对于半经典方法，我们建议要么进行数值计算，要么基于恒定旋转场的解析解进行附加近似。我们发现这两种数值方法在计算时间和精度方面是互补的。近似方法具有相同的定性特征，但计算速度要快得多。此外，我们还发现，对于恒定旋转场，用散射法得到的不同自旋态对的不等积与用Wigner函数方法得到的结果是一致的。
We present a comparison of two methods to compute the momentum spectrum and the Schwinger pair creation rate for pulsed rotating electric fields: one based upon the real-time Dirac--Heisenberg--Wigner (DHW) formalism and a semiclassical approximation based on a scattering ansatz. For the semiclassical method we propose to either perform numerical calculations or an additional approximation based on an analytical solution for the constant rotating field. We find that both numerical methods are complementary with respect to computation time as well as accuracy. The approximate method shows the same qualitative features while being computationally much faster. We additionally find that the unequal production of pairs in different spin states reported for constant rotating fields with the scattering method is in agreement with the Wigner function method.