Floquet prethermalization in the resonantly driven Hubbard model

Abstract

We demonstrate the existence of long-lived prethermalized states in the Mott insulating Hubbard model driven by periodic electric fields. These states, which also exist in the resonantly driven case with a large density of photo-induced doublons and holons, are characterized by a nonzero current and an effective temperature of the doublons and holons which depends sensitively on the driving condition. Focusing on the specific case of resonantly driven models whose effective time-independent Hamiltonian in the high-frequency driving limit corresponds to noninteracting fermions, we show that the time evolution of the double occupation can be reproduced by the effective Hamiltonian, and that the prethermalization plateaus at finite driving frequency are controlled by the next-to-leading order correction in the high-frequency expansion of the effective Hamiltonian. We propose a numerical procedure to determine an effective Hubbard interaction that mimics the correlation effects induced by these higher order terms.

References in corpus (6)

• Photovoltaic Hall effect in graphene
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Interaction Quench in the Hubbard model
• Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
• Photo-induced Tomonaga-Luttinger-like liquid in a Mott insulator
• Designing spin and orbital exchange Hamiltonians with ultrashort electric field transients

Cited by in corpus (36)

• Observation of Floquet prethermalization in dipolar spin chains
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Floquet dynamics in driven Fermi-Hubbard systems
• Quantum to classical crossover of Floquet engineering in correlated quantum systems
• Nonequilibrium steady states of electric-field driven Mott insulators
• Resonant thermalization of periodically driven strongly correlated electrons
• Low rank compression in the numerical solution of the nonequilibrium Dyson equation
• Floquet Engineering in Quantum Chains
• Comparing the generalized Kadanoff-Baym ansatz with the full Kadanoff-Baym equations for an excitonic insulator out of equilibrium
• Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Cooling by photo-doping $--$ Light-induced symmetry breaking in the Hubbard model
• Transient Floquet engineering of superconductivity
• Inverse Faraday effect in Mott insulators
• Photoinduced $\eta$-pairing at finite temperatures
• Photo-induced nonequilibrium states in Mott insulators
• Charge stiffness and long-range correlation in the optically induced $\eta$-pairing state of the one-dimensional Hubbard model
• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Many-body parametric resonances in the driven sine-Gordon model
• Inducing and controlling superconductivity in Hubbard honeycomb model using an electromagnetic drive
• Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
• Correlated nonequilibrium steady states without energy flux
• Lieb's Theorem and Maximum Entropy Condensates
• Suppression of Heating by Multi-color Driving Protocols in Floquet Engineered Strongly Correlated Systems
• Dynamically induced doublon repulsion in the Fermi-Hubbard model probed by a single-particle density of states
• Floquet analysis of a superradiant many-qutrit refrigerator
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator
• Photoinduced prethermalization phenomena in correlated metals
• Energy diffusion and prethermalization in chaotic billiards under rapid periodic driving
• Dynamics of one-dimensional quantum many-body systems in time-periodic linear potentials
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Controlling magnetic correlations in a driven Hubbard system far from half-filling
• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Floquet Schrieffer-Wolff transform based on Sylvester equations