Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system

Abstract

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We address these aspects in a model system consisting of interacting fermions in a periodically driven array of double wells created by an optical lattice. The singlet and triplet fractions and the double occupancy of the Floquet states are measured, and their behavior as a function of the interaction strength is analyzed in the high- and low-frequency regimes. We demonstrate full control of the Floquet state population and find suitable ramping protocols and time-scales which adiabatically connect the initial ground state to different targeted Floquet states. The micromotion which exactly describes the time evolution of the system within one driving cycle is observed. Additionally, we provide an analytic description of the model and compare it to numerical simulations.

References in corpus (15)

• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Dynamical control of matter-wave tunneling in periodic potentials
• Equilibrium states of generic quantum systems subject to periodic driving
• A lattice of double wells for manipulating pairs of cold atoms
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Periodically-driven quantum matter: the case of resonant modulations
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Probing and controlling spin chirality in Mott insulators by circularly polarized laser
• Floquet analysis of a quantum system with modulated periodic driving
• Avoided level crossing spectroscopy with dressed matter waves
• The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models

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