作为Fredholm行列式的Jordan-Wigner算子的含时关联函数
Time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant
摘要:
本文计算了一维无限格点上一类自由费米子模型中Jordan-Wigner算符的关联函数。我们表示这个功能的可积Fredholm算子的行列式,便于分析和数值研究。利用Wick定理,避免了文献中处理类似问题时通常采用的形状因子求和法。
英文摘要:
We calculate a correlation function of the Jordan-Wigner operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in literature for treating similar problems.
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