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  Extracting spectral properties from Keldysh Green functions

Dirks, A., Eckstein, M., Pruschke, T., & Werner, P. (2013). Extracting spectral properties from Keldysh Green functions. Physical Review E, 87(2): 023305. doi:10.1103/PhysRevE.87.023305.

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PhysRevE.87.023305.pdf (Publisher version), 2MB
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http://dx.doi.org/10.1103/PhysRevE.87.023305 (Publisher version)
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http://arxiv.org/abs/1210.7867 (Preprint)
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 Creators:
Dirks, Andreas1, 2, Author
Eckstein, Martin3, 4, Author           
Pruschke, Thomas1, Author
Werner, Philipp5, Author
Affiliations:
1Department of Physics, University of Göttingen, D-37077 Göttingen, Germany, ou_persistent22              
2Department of Physics, Georgetown University, Washington, DC, 20057 USA, ou_persistent22              
3Theory of Correlated Systems out of Equilibrium, Research Groups, Max Planck Research Department for Structural Dynamics, Department of Physics, University of Hamburg, External Organizations, ou_2173641              
4CFEL, Hamburg, Germany, ou_persistent22              
5Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland, ou_persistent22              

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Free keywords: PACS numbers: 02.70.−c, 71.28.+d, 71.10.Fd, 64.60.Ht
 Abstract: We investigate the possibility to assist the numerically ill-posed calculation of spectral properties of interacting quantum systems in thermal equilibrium by extending the imaginary-time simulation to a finite Schwinger-Keldysh contour. The effect of this extension is tested within the standard maximum entropy approach to analytic continuation. We find that the inclusion of real-time data improves the resolution of structures at high energy, while the imaginary-time data are needed to correctly reproduce low-frequency features such as quasiparticle peaks. As a nonequilibrium application, we consider the calculation of time-dependent spectral functions from retarded Green function data on a finite time interval, and compare the maximum entropy approach to direct Fourier transformation and a method based on Padé approximants.

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Language(s): eng - English
 Dates: 2012-11-012013-02-212013-02
 Publication Status: Issued
 Pages: 9
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.87.023305
arXiv: 1210.7867
 Degree: -

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Title: Physical Review E
  Abbreviation : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 87 (2) Sequence Number: 023305 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012