Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model

Abstract

We perform an ab-initio comparison between nonequilibrium dynamical mean-field theory and optical lattice experiments by studying the time evolution of double occupations in the periodically driven Fermi-Hubbard model. For off-resonant driving, the range of validity of a description in terms of an effective static Hamiltonian is determined and its breakdown due to energy absorption close to resonance is demonstrated. For near-resonant driving, we investigate the response to a change in driving amplitude and discover an asymmetric excitation spectrum with respect to the detuning. In general, we find good agreement between experiment and theory, which cross-validates the experimental and numerical approaches in a strongly-correlated nonequilibrium system.

6+13 pages, 4+16 figures

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• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• Adaptive Numerical Solution of Kadanoff-Baym Equations
• Photo-induced nonequilibrium states in Mott insulators
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• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Superconductivity and charge density wave under a time-dependent periodic field in the one-dimensional attractive Hubbard model
• Modeling of ultrafast X-ray induced magnetization dynamics in magnetic multilayer systems
• Suppression of Heating by Multi-color Driving Protocols in Floquet Engineered Strongly Correlated Systems
• Simulating finite-time quantum isothermal processes with generic superconducting quantum circuit
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Laser-induced ultrafast insulator-metal transition in ${\text{BaBiO}}_3$
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Floquet expansion by counting pump photons
• Rabi-resonant behavior of periodically-driven correlated fermion systems
• Light-induced switching of magnetic order in the anisotropic triangular-lattice Hubbard model
• Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model
• Schwinger pair creation with the backreaction in 3 + 1 dimensions