Title: Multi-scale space-time ansatz for correlation functions of quantum systems

Correlation functions of quantum systems are central objects in quantum field theories that may be defined in high-dimensional space-time domains. However,  the numerical treatment of these objects suffers from the curse of dimensionality, which hinders the application of sophisticated many-body theories to interesting problems. 

Multi-Scale Space-Time Ansatz (MSSTA) has recently been proposed with the assumption of a separation of length scales. The space-time dependency of correlation functions can be mapped to auxiliary qubit (S = 1/2 spin) degrees of freedom describing exponentially different length scales by using the MSSTA. MSSTA provides a unified framework for implementing efficient computations of quantum field theories.

In this talk,  I will introduce the MSSTA and essential building blocks of diagrammatic equations. Then, I will show the numerical results in compression correlation function for challenging cases and demonstrate the stability and efficiency of the MSSTA for the Dyson and Bethe-Salpeter equations.
Ref: arXiv:2210.12984v2