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Dynamical correlation functions from complex time evolution

delete2024-06-05
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OA
AI
X
Xiaodong Cao *
Y
Yi Lu
E
E. Miles Stoudenmire
O
Olivier Parcollet
DOI:10.1103/PhysRevB.109.235110delete
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Abstract

Abstract

En 中文
We present an approach to tame the growth of entanglement during time evolution by tensor network methods. It combines time evolution in the complex plane with a perturbative and controlled reconstruction of correlation functions on the real time axis. We benchmark our approach on the single impurity Anderson model. Compared to purely real time evolution, the complex time evolution significantly reduces the required bond dimension to obtain the spectral function. Notably, our approach yields self-energy results with high precision at low frequencies, comparable to numerical renormalization group results, and it successfully captures the exponentially small Kondo energy scale.
Keywords:
MATRIX RENORMALIZATION-GROUP
ALGORITHMS
STATES
LIMIT

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

N
nanjing university
Scholars:
7.7W
Papers: 5.6W
Citations: 87