Hierarchy of double-time correlations

Abstract

The hierarchy of correlations is an analytical approximation method which allows us to study non-equilibrium phenomena in strongly interacting quantum many-body systems on lattices in higher dimensions. So far, this method was restricted to equal-time correlators $⟨{\hat{A}}_{\mu }(t){\hat{B}}_{\nu }(t)⟩$. In this work, we generalize this method to double-time correlators $⟨{\hat{A}}_{\mu }(t){\hat{B}}_{\nu }(t^{\prime })⟩$, which allows us to study effective light cones and Green functions and to incorporate finite initial temperatures.

15 pages, 6 figures

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Cited by in corpus (5)

• Linear response theory for cavity QED materials at arbitrary light-matter coupling strengths
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• Quasi-particle propagation across semiconductor-Mott insulator interfaces
• Attraction versus repulsion between doublons or holons in Mott-Hubbard systems
• Bound States at Semiconductor -- Mott Insulator Interfaces