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Extracting spectral properties from Keldysh Green functions

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PhysRevE.87.023305.pdf
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Zitation

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.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0028-1632-9
Zusammenfassung
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.