Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit

Abstract

Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogen-vacancy center in diamond to experimentally study a synthetic quantum Hall effect with a two-tone drive. We measure the evolution of trajectories of two quantum states, initially prepared at nearby points in synthetic phase space. We detect the synthetic Hall effect through the predicted overlap oscillations at a quantized fundamental frequency proportional to the Chern number, which characterizes the topological phases of the system. We further observe half-quantization of the Chern number at the transition between the synthetic Hall regime and the trivial regime, and the associated concentration of local Berry curvature in synthetic phase space. Our work opens up the possibility of using driven qubits to design and study higher-dimensional topological insulators and semi-metals in synthetic dimensions.

References in corpus (53)

• Topological Insulators
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum metrology
• Colloquium: Topological Band Theory
• Quantum computing with trapped ions
• Topological States and Adiabatic Pumping in Quasicrystals
• Spin qubits in graphene quantum dots
• Topological Bands for Ultracold Atoms
• Quantum information processing with superconducting circuits: a review
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• A topological quantum optics interface
• Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Natural and artificial atoms for quantum computation
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• Synthetic gauge fields in synthetic dimensions
• Shortcuts to adiabaticity by counter-diabatic driving
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Optimal Quantum Phase Estimation
• Synthetic Dimension in Photonics
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Prospects for Spin-Based Quantum Computing
• Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
• Topological quantum matter in synthetic dimensions
• Photonic Topological Insulator in Synthetic Dimensions
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Long-lived qubit memory using atomic ions
• Quantum simulation of an extra dimension
• Topological quantum matter with cold atoms
• A single photonic cavity with two independent physical synthetic dimensions
• Single-qubit quantum memory exceeding $10$-minute coherence time
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Photonic gauge potential in a system with a synthetic frequency dimension
• Four-Dimensional Quantum Hall Effect with Ultracold Atoms
• Topological frequency conversion in strongly driven quantum systems
• A tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
• Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
• Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy
• Experimental Observation of a Generalized Thouless Pump with a Single Spin
• The 6D quantum Hall effect and 3D topological pumps
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Topological classification of quasi-periodically driven quantum systems
• Quasi-periodically driven quantum systems
• Time-quasiperiodic topological superconductors with Majorana Multiplexing
• Topological energy conversion through bulk or boundary of driven systems
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Observation of Floquet Raman transition in a driven solid-state spin system
• Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
• Floquet-engineered quantum state manipulation in a noisy qubit
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Synthetic dimensions and topological chiral currents in mesoscopic rings

Cited by in corpus (35)

• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Random multipolar driving: tunably slow heating through spectral engineering
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
• Topological two-dimensional Floquet lattice on a single superconducting qubit
• Quantized topological energy pumping and Weyl points in Floquet synthetic dimensions with a driven-dissipative photonic molecule
• Many-Body Localization with Quasiperiodic Driving
• Engineering, control and longitudinal readout of Floquet qubits
• Floquet superradiance lattices in thermal atoms
• Topological frequency conversion in Weyl semimetals
• Boosting the Quantum State of a Cavity with Floquet Driving
• Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
• Localization persisting under aperiodic driving
• Superfluid Vortices in Four Spatial Dimensions
• Real-space topological invariant for time-quasiperiodic Majoranas
• Experimental limit on non-linear state-dependent terms in quantum theory
• Accelerated adiabatic passage of a single electron spin qubit in quantum dots
• Electron-spin double resonance of nitrogen-vacancy centers in diamond under strong driving field
• Prethermalization and conservation laws in quasi-periodically-driven quantum systems
• Dynamical decoupling for realization of topological frequency conversion
• Energy Transfer in Random-Matrix ensembles of Floquet Hamiltonians
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Topological frequency conversion in rhombohedral multilayer graphene
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Topological Burning Glass Effect
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Simulating a Chern Insulator with C = $\pm$2 on Synthetic Floquet Lattice
• Absence of disordered Thouless pumps at finite frequency
• Quantum walk with coherent multiple translations induces fast quantum gate operations
• A spectrum-based shortcut method for topological systems
• Topological energy pumping in a quasi-periodically driven four-level system
• A strong-driving toolkit for topological Floquet energy pumps with superconducting circuits
• Topological power pumping in quantum circuits