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arXiv · 1808.09906

Environment induced pre-thermalization in the Mott-Hubbard model

Friedemann Queisser·Ralf Schützhold
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Abstract

Via the hierarchy of correlations, we study the strongly interacting Fermi-Hubbard model in the Mott insulator state and couple it to a Markovian environment which constantly monitors the particle numbers $\hat n_μ^\uparrow$ and $\hat n_μ^\downarrow$ for each lattice site $μ$. As expected, the environment induces an imaginary part $γ$ (i.e., decay rate) of the quasi-particle frequencies $ω_{\mathbf{k}}\toω_{\mathbf{k}}-iγ$ and tends to diminish the correlations between lattice sites. Surprisingly, the environment does also steer the state of the system on intermediate time scales $\mathcal{O}(1/γ)$ to a pre-thermalized state very similar to a quantum quench (i.e., suddenly switching on the hopping rate $J$). Full thermalization occurs via local on-site heating and takes much longer.

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Friedemann Queisser, Ralf Schützhold. 2018-08-29. Environment induced pre-thermalization in the Mott-Hubbard model. https://doi.org/10.1103/physrevb.99.155110

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