Nonequilibrium self-energy functional approach to the dynamical Mott transition

Abstract

The real-time dynamics of the Fermi-Hubbard model, driven out of equilibrium by quenching or ramping the interaction parameter, is studied within the framework of the nonequilibrium self-energy functional theory. A dynamical impurity approximation with a single auxiliary bath site is considered as a reference system and the time-dependent hybridization is optimized as prescribed by the variational principle. The dynamical two-site approximation turns out to be useful to study the real-time dynamics on short and intermediate time scales. Depending on the strength of the interaction in the final state, two qualitatively different response regimes are observed. For both weak and strong couplings, qualitative agreement with previous results of nonequilibrium dynamical mean-field theory is found. The two regimes are sharply separated by a critical point at which the low-energy bath degree of freedom decouples in the course of time. We trace the dependence of the critical interaction of the dynamical Mott transition on the duration of the interaction ramp from sudden quenches to adiabatic dynamics, and therewith link the dynamical to the equilibrium Mott transition.

12 pages, 11 figures

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Cited by in corpus (7)

• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Interplay of charge and spin dynamics after an interaction quench in the Hubbard model
• Rabi-resonant behavior of periodically-driven correlated fermion systems
• Time-dependent Mott transition in the periodic Anderson model with nonlocal hybridization
• Enforcing conservation laws in nonequilibrium cluster perturbation theory