关于成对费米子全计数统计的注记
A note on the Full Counting Statistics of paired fermions
摘要:
本文研究了一般费米子双线性的指数迹,包括对项和非厄米形式。特别是,我们给这样的轨迹的行列式和pffeldian公式的初等推导,并使用这些获得的一般表达式的完整的计数统计的状态与二次哈密顿包括BCS-样配对项和费米子奇偶校验在一个规定的区域或一组模式。我们还推导出状态重叠和计数统计的状态建立在真空中的粒子对的创建Pffenan表达式。
英文摘要:
We study the trace of the exponentials of general fermion bi-linears, including pairing terms, and including non Hermitian forms. In particular, we give elementary derivations for determinant and pfaffian formulae for such traces, and use these to obtain general expressions for the full counting statistics in states associated with quadratic Hamiltonians including BCS-like pairing terms and fermion parity in a prescribed region or set of modes. We also derive pfaffian expressions for state overlaps and counting statistics in states built out of the vacuum by creation of pairs of particles.
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