Quantized topological energy pumping and Weyl points in Floquet synthetic dimensions with a driven-dissipative photonic molecule

Abstract

Topological effects manifest in a wide range of physical systems, such as solid crystals, acoustic waves, photonic materials and cold atoms. These effects are characterized by `topological invariants' which are typically integer-valued, and lead to robust quantized channels of transport in space, time, and other degrees of freedom. The temporal channel, in particular, allows one to achieve higher-dimensional topological effects, by driving the system with multiple incommensurate frequencies. However, dissipation is generally detrimental to such topological effects, particularly when the systems consist of quantum spins or qubits. Here we introduce a photonic molecule subjected to multiple RF/optical drives and dissipation as a promising candidate system to observe quantized transport along Floquet synthetic dimensions. Topological energy pumping in the incommensurately modulated photonic molecule is enhanced by the driven-dissipative nature of our platform. Furthermore, we provide a path to realizing Weyl points and measuring the Berry curvature emanating from these reciprocal-space ($k$-space) magnetic monopoles, illustrating the capabilities for higher-dimensional topological Hamiltonian simulation in this platform. Our approach enables direct $k$-space engineering of a wide variety of Hamiltonians using modulation bandwidths that are well below the free-spectral range (FSR) of integrated photonic cavities.

14 pages, 7 figures

References in corpus (15)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Monolithic Ultrahigh-Q Lithium Niobate Microring Resonator
• Topological quantum matter in synthetic dimensions
• Observation of arbitrary topological windings of a non-Hermitian band
• Dissipative Kerr solitons in photonic molecules
• Spectral photonic lattices with complex long-range coupling
• Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Spectrally-engineered photonic molecules as optical sensors with enhanced sensitivity: a proposal and numerical analysis
• Creating boundaries along a synthetic frequency dimension
• A universal frequency engineering tool for microcavity nonlinear optics: multiple selective mode splitting of whispering-gallery resonances
• Programmable large-scale simulation of bosonic transport in optical synthetic frequency lattices
• Topological two-dimensional Floquet lattice on a single superconducting qubit
• Boosting the Quantum State of a Cavity with Floquet Driving

Cited by in corpus (10)

• A comprehensive review on developments of synthetic dimensions
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Floquet Topological Dissipative Kerr Solitons and Incommensurate Frequency Combs
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Sensing Out-of-Equilibrium and Quantum Non-Gaussian environments via induced Time-Reversal Symmetry Breaking on the quantum-probe dynamics
• Experimental observation of energy-band Riemann surface
• Multimode Single-Ring Photonic Molecule
• Topological energy pumping in a quasi-periodically driven four-level system
• A strong-driving toolkit for topological Floquet energy pumps with superconducting circuits