Time-dependent ghost-Gutzwiller wave function

We present a time-dependent extension of the ghost Gutzwiller approximation theory (td-g-GA)[1], that enriches the conventional td-GA [2] description of the out of equilibrium quantum dynamics by introducing auxiliary fermionic degrees of freedom [3-6]. We show that our method is able of treating on equal footing both low-energy quasiparticles and high-energy incoherent excitations, which are commonly referred to as Hubbard bands. Furthermore, as opposed to the standard td-GA theory, the td-g-GA allows capturing the dephasing processes that make local observables thermalise in the infinite dimensional quenched Hubbard model, and provides predictions in excellent agreement with numerically exact frameworks but at a much lower computational cost.

[1] Daniele Guerci, Massimo Capone and Nicola Lanatà in preparation

[2] Marco Schiró and Michele Fabrizio PRL 105, 076401 (2010)

[3] Nicola Lanatà, Tsung-Han Lee, Yong-Xin Yao, and Vladimir Dobrosavljevic, PRB 96, 195126 (2017)

[4] Daniele Guerci, Massimo Capone, and Michele Fabrizio PRM 3, 054605 (2019)

[5] Marius S. Frank et al., PRB 104, L081103 (2021)

[6] Nicola Lanatà PRB 105, 045111 (2022)