Doubly Modulated Optical Lattice Clock Interference and Topology

Abstract

The quantum system under periodical modulation is the simplest path to understand the quantum non-equilibrium system, because it can be well described by the effective static Floquet Hamiltonian. Under the stroboscopic measurement, the initial phase is usually irrelevant. However, if two uncorrelated parameters are modulated, their relative phase can not be gauged out, so that the physics can be dramatically changed. Here, we simultaneously modulate the frequency of the lattice laser and the Rabi frequency in an optical lattice clock (OLC) system. Thanks to ultra-high precision and ultra-stability of OLC, the relative phase could be fine-tuned. As a smoking gun, we observed the interference between two Floquet channels. Finally, by experimentally detecting the eigen-energies, we demonstrate the relation between effective Floquet Hamiltonian and 1-D topological insulator with high winding number. Our experiment not only provides a direction for detecting the phase effect, but also paves a way in simulating quantum topological phase in OLC platform.

arXiv comment7 pages, 4 figures, almost published version, comments are welcome and more information at http://cqutp.org/users/xfzhang/

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Cited by in corpus (7)

• Floquet engineering Hz-Level Rabi Spectra in Shallow Optical Lattice Clock
• Experimental realization of a fermionic spin-momentum lattice
• Harmonic dual dressing of spin one-half systems
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency
• Voltage and power-frequency electric field measurements with Rydberg-atom interferometry
• Degenerate Rabi spectroscopy of the Floquet engineered optical lattice clock
• The time-domain Landau-Zener-Stuckelberg-Majorana interference in optical lattice clock