Analytical approach to higher-order correlation functions in U(1) symmetric systems

被引：0
作者：
Lu Z.-G. [1 ]
Shang C. [2 ]
Wu Y. [1 ]
Lü X.-Y. [1 ]
机构：
[1] School of Physics, Huazhong University of Science and Technology, Wuhan
[2] Department of Physics, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba
来源：
Physical Review A | 2023年 / 108卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Compendex;
D O I：
10.1103/PhysRevA.108.053703
中图分类号：
学科分类号：
摘要：
We derive a compact analytical solution of the nth-order equal-time correlation functions by using scattering matrix (S matrix) under a weak coherent state input. Our solution applies to any dissipative quantum system that respects the U(1) symmetry. We further extend our analytical solution into two categories depending on whether the input and output channels are identical. The first category provides a different path for studying cross-correlation and multiple-drive cases, while the second category is instrumental in studying waveguide quantum electrodynamics systems. Our analytical solution allows for easy investigation of the statistical properties of multiple photons even in complex systems. Furthermore, we have developed a user-friendly open-source library in Python known as the quantum correlation solver, and this tool provides a convenient means to study various dissipative quantum systems that satisfy the above-mentioned criteria. Our study enables using S matrix to study the photonic correlation and advance the possibilities for exploring complex systems. © 2023 American Physical Society.
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