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TT: Fachverband Tiefe Temperaturen
TT 5: Correlated Electrons: Method Development
TT 5.10: Talk
Monday, March 27, 2023, 12:00–12:15, HSZ 204
Multi-scale space-time ansatz for correlation functions of quantum systems — •Hiroshi Shinaoka1, Markus Wallerberger2, Yuta Murakami3, Kosuke Nogaki4, Rihito Sakurai1, Philipp Werner5, and Anna Kauch2 — 1Department of Physics, Saitama University, Saitama 338-8570, Japan — 2Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria — 3Center for Emergent Matter Science, RIKEN, Wako, Saitama 351-0198, Japan — 4Department of Physics, Kyoto University, Kyoto 606-8502, Japan — 5Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland
Correlation functions of quantum systems are central objects in quantum field theories, which may be defined in high-dimensional space-time domains. The numerical treatment of these objects suffers from the curse of dimensionality, which hinders the application of sophisticated many-body theories to interesting problems.
In this talk, we propose a quantum-algorithms-inspired Multi-Scale Space-Time Ansatz (MSSTA) for correlation functions of quantum systems [1]. The space-time dependence is mapped to auxiliary qubit (S = 1/2 spin) degrees of freedom describing exponentially different length scales, and the ansatz assumes a separation of length scales. We numerically verify the ansatz for various equilibrium and nonequilibrium systems and show essential building blocks of diagrammatic equations, such as convolutions or Fourier transforms are formulated in the compressed form using tensor networks.
[1] H. Shinaoka et al., arXiv:2210.12984v2