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  Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation

Balzer, K., & Eckstein, M. (2014). Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation. Physical Review B, 89(3): 035148. doi:10.1103/PhysRevB.89.035148.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-1671-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-2CF4-C
Genre: Journal Article

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PhysRevB.89.035148.pdf (Publisher version), 2MB
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http://dx.doi.org/10.1103/PhysRevB.89.035148 (Publisher version)
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http://arxiv.org/abs/1312.0214 (Preprint)
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 Creators:
Balzer, Karsten1, 2, Author              
Eckstein, Martin1, 2, Author              
Affiliations:
1Theory 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              
2CFEL, 22607 Hamburg, Germany, ou_persistent22              

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Free keywords: PACS numbers: 71.27.+a, 71.10.Fd, 05.30.−d, 05.70.Ln
 Abstract: The nonequilibrium Dyson (or Kadanoff-Baym) equation, which is an equation of motion with a long-range memory kernel for real-time Green functions, underlies many numerical approaches based on the Keldysh formalism. In this paper we map the problem of solving the Dyson equation in real time onto a noninteracting auxiliary Hamiltonian with additional bath degrees of freedom. The solution of the auxiliary model does not require the evaluation of a memory kernel and can thus be implemented in a very memory efficient way. The mapping is derived for a self-energy which is local in space and is thus directly applicable within nonequilibrium dynamical mean-field theory (DMFT). We apply the method to study the interaction quench in the Hubbard model for an optical lattice with a narrow confinement, using inhomogeneous DMFT in combination with second-order weak-coupling perturbation theory. We find that, although the quench excites pronounced density oscillations, signatures of the two-stage relaxation similar to the homogeneous system can be observed by looking at the time-dependent occupations of natural orbitals.

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Language(s): eng - English
 Dates: 2013-12-042014-01-312014-01-15
 Publication Status: Published in print
 Pages: 13
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevB.89.035148
arXiv: 1312.0214
 Degree: -

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 89 (3) Sequence Number: 035148 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: /journals/resource/954925225008