Nonequilibrium variational-cluster approach to real-time dynamics in the 
Fermi-Hubbard model

Hofmann, Felix; Eckstein, Martin; Potthoff, Michael

doi:10.1088/1742-6596/696/1/012002

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Nonequilibrium variational-cluster approach to real-time dynamics in the Fermi-Hubbard model

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http://arxiv.org/abs/1510.05866
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http://dx.doi.org/10.1088/1742-6596/696/1/012002
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Citation

Hofmann, F., Eckstein, M., & Potthoff, M. (2016). Nonequilibrium variational-cluster approach to real-time dynamics in the Fermi-Hubbard model. Journal of Physics: Conference Series, 696: 012002. doi:10.1088/1742-6596/696/1/012002.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0D19-1

Abstract

The nonequilibrium variational-cluster approach is applied to study the real-time dynamics of the double occupancy in the one-dimensional Fermi-Hubbard model after different fast changes of hopping parameters. A simple reference system, consisting of isolated Hubbard dimers, is used to discuss different aspects of the numerical implementation of the approach in the general framework of nonequilibrium self-energy functional theory. Opposed to a direct solution of the Euler equation, its time derivative is found to serve as numerically tractable and stable conditional equation to fix the time-dependent variational parameters.