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- W4376988487 abstract "We derive a compact analytical solution of the $n$th-order equal-time correlation functions by using the scattering matrix (S-matrix) under a weak coherent state input. Our solution applies to any dissipative quantum system that satisfies 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 new path for studying cross-correlation and multiple drives 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 abovementioned criterion. Our study breaks new ground for using the S-matrix to study the photonic correlation and advance the possibilities for exploring complex systems." @default.
- W4376988487 created "2023-05-18" @default.
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- W4376988487 date "2023-05-15" @default.
- W4376988487 modified "2023-09-26" @default.
- W4376988487 title "Analytical approach to higher-order correlation function in U(1) symmetric systems" @default.
- W4376988487 doi "https://doi.org/10.48550/arxiv.2305.08923" @default.
- W4376988487 hasPublicationYear "2023" @default.
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