Generalized Wick's theorem for multiquasiparticle overlaps as a limit of Gaudin's theorem

TL;DR

This paper simplifies the derivation of the generalized Wick's theorem for mean field wave function overlaps by extending Gaudin's theorem, providing a more straightforward theoretical approach.

Contribution

It introduces a simple derivation of the generalized Wick's theorem using an extension of Gaudin's theorem in specific limits.

Findings

Simplified derivation of the generalized Wick's theorem

Extension of Gaudin's theorem applied to mean field overlaps

Provides a clearer theoretical foundation for multiquasiparticle overlaps

Abstract

We are able to rederive in a very simple way the standard generalized Wick's theorem for overlaps of mean field wave functions by using the extension of the statistical Wick's theorem (Gaudin's theorem) in the appropriate limits.