Exact response functions within the time-dependent Gutzwiller approach

Abstract

We investigate the applicability of the two existing versions of a time-dependent Gutzwiller approximation (TDGA) beyond the frequently used limit of infinite spatial dimensions. To this end, we study the two-particle response functions of a two-site Hubbard model where we can compare the exact results and those derived from the TDGA. It turns out that only the more recently introduced version of the TDGA can be combined with a diagrammatic approach which allows for the evaluation of Gutzwiller wave functions in finite dimensions. For this TDGA method we derive the time-dependent Lagrangian for general single-band Hubbard models.

13 pages, 2 figures

References in corpus (3)

• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Theory of antibound states in partially filled narrow band systems
• Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model

Cited by in corpus (4)

• Evaluation techniques for Gutzwiller wave functions in finite dimensions
• Symmetric single-impurity Kondo model on a tight-binding chain: a comparison of analytical and numerical ground-state approaches
• Charge and pairing dynamics in the attractive Hubbard model: mode coupling and the validity of linear-response theory
• Quantum quench in 2D using the variational Baeriswyl wavefunction