Floquet engineering of individual band gaps in an optical lattice using a two-tone drive

Abstract

The dynamic engineering of band structures for ultracold atoms in optical lattices represents an innovative approach to understand and explore the fundamental principles of topological matter. In particular, the folded Floquet spectrum determines the associated band topology via band inversion. We experimentally and theoretically study two-frequency phase modulation to asymmetrically hybridize the lowest two bands of a one-dimensional lattice. Using quasi-degenerate perturbation theory in the extended Floquet space we derive an effective two-band model that quantitatively describes our setting. The energy gaps are experimentally probed via Landau-Zener transitions between Floquet-Bloch bands using an accelerated Bose-Einstein condensate. Separate and simultaneous control over the closing and reopening of these band gaps is demonstrated. We find good agreement between experiment and theory, establishing an analytic description for resonant Floquet-Bloch engineering that includes single- and multi-photon couplings, as well as interference effects between several commensurate drives.

18 pages, 8 figures

References in corpus (15)

• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Crystalline Insulators
• Topological characterization of periodically-driven quantum systems
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• The space group classification of topological band insulators
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Spin-orbit coupled fermions in an optical lattice clock
• Strong saturation absorption imaging of dense clouds of ultracold atoms
• Topological orbital ladders
• Roton-Maxon Excitation Spectrum of Bose Condensates in a Shaken Optical Lattice
• Helical Floquet Channels in 1D Lattices
• Orbital embedding and topology of one-dimensional two-band insulators
• Excitation of atoms in an optical lattice driven by polychromatic amplitude modulation
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies

Cited by in corpus (13)

• Topological pumping in a Floquet-Bloch band
• Topological Floquet engineering using two frequencies in two dimensions
• Photocurrent induced by a bicircular light drive in centrosymmetric systems
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Suppression of inter-band heating for random driving
• Controllable photocurrent generation in Dirac systems with two frequency drives
• Extended unitarity and absence of skin effect in periodically driven systems
• Steering spin fluctuations in lattice systems via two-tone Floquet engineering
• Floquet-Engineering of Feshbach Resonances in Ultracold Gases
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Ultracold atomic lattice systems for simulating topological phases: A review
• Multichromatic Floquet engineering of quantum dissipation
• Localization and topological signatures under periodic twisting