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  Functional renormalization group for non-Hermitian and PT-symmetric systems

Grunwald, L., Meden, V., & Kennes, D. M. (2022). Functional renormalization group for non-Hermitian and PT-symmetric systems. SciPost Physics, 12(5): 179. doi:10.21468/SciPostPhys.12.5.179.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-1DA7-A Version Permalink: https://hdl.handle.net/21.11116/0000-000B-F5D2-3
Genre: Journal Article

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© the Author(s). Published by the SciPost Foundation.
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https://arxiv.org/abs/2203.08108 (Preprint)
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https://doi.org/10.21468/SciPostPhys.12.5.179 (Publisher version)
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 Creators:
Grunwald, L.1, Author
Meden, V.1, Author
Kennes, D. M.1, 2, Author           
Affiliations:
1Institut für Theorie der Statistischen Physik, RWTH Aachen University, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              

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 Abstract: We generalize the vertex expansion approach of the functional renormalization group to non-Hermitian systems. As certain anomalous expectation values might not vanish, additional terms as compared to the Hermitian case can appear in the flow equations. We investigate the merits and shortcomings of the vertex expansion for non-Hermitian systems by considering an exactly solvable PT-symmetric non-linear toy-model and reveal, that in this model, the fidelity of the vertex expansion in a perturbatively motivated truncation schema is comparable with that of the Hermitian case. The vertex expansion appears to be a viable method for studying correlation effects in non-Hermitian systems.

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Language(s): eng - English
 Dates: 2022-03-172022-05-192022-05-302022-05
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2203.08108
DOI: 10.21468/SciPostPhys.12.5.179
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Project name : This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via RTG 1995 and Germany’s Excellence Strategy - Clus- ter of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1 - 390534769. Simulations were performed with computing resources granted by RWTH Aachen University under project rwth0710. We acknowledge support from the Max Planck-New York City Center for Non-Equilibrium Quantum Phenomena.
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Title: SciPost Physics
Source Genre: Journal
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Publ. Info: Amsterdam : SciPost Foundation
Pages: - Volume / Issue: 12 (5) Sequence Number: 179 Start / End Page: - Identifier: ISSN: 2542-4653
CoNE: https://pure.mpg.de/cone/journals/resource/2542-4653