Coherent control of quantum topological states of light in Fock-state lattices

Abstract

Topological photonics provides a novel platform to explore topological physics beyond traditional electronic materials and stimulates promising applications in topologically protected light transport and lasers. Classical degrees of freedom such as polarizations and wavevectors are routinely used to synthesize topological light modes. Beyond the classical regime, inherent quantum nature of light gives birth to a wealth of fundamentally distinct topological states, which offer topological protection in quantum information processing. Here we implement such experiments on topological states of quantized light in a superconducting circuit, on which three resonators are tunably coupled to a gmon qubit. We construct one and two-dimensional Fock-state lattices where topological transport of zero-energy states, strain induced pseudo-Landau levels, valley Hall effect and Haldane chiral edge currents are demonstrated. Our study extends the topological states of light to the quantum regime, bridges topological phases of condensed matter physics with circuit quantum electrodynamics, and offers a new freedom in controlling the quantum states of multiple resonators.

9 pages, 6 figures

References in corpus (13)

• The electronic properties of graphene
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Topological Photonics
• Strong quantum computational advantage using a superconducting quantum processor
• Spectral signatures of many-body localization with interacting photons
• Topological quantum matter in synthetic dimensions
• Observation of topological transitions in interacting quantum circuits
• Quantum control of bosonic modes with superconducting circuits
• Synthesizing five-body interaction in a superconducting quantum circuit
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Unification of valley and anomalous Hall effects in a strained lattice
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Meissner effect in Fock space

Cited by in corpus (26)

• Realization of fractional quantum Hall state with interacting photons
• A comprehensive review on developments of synthetic dimensions
• Realization of all-band-flat photonic lattices
• Simulating unsteady fluid flows on a superconducting quantum processor
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Enhancement of photon blockade via topological edge states
• Ideal flat and resolved SU(3) Landau levels in three dimensions
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Dark-state engineering in Fock-state lattices
• Quantized topological phases beyond square lattices in Floquet synthetic dimensions
• A Floquet analysis perspective of driven light-matter interaction models
• Periodic jumps in binary lattices with a static force
• Quantum Signatures of Topological Phase in Bosonic Quadratic System
• Degenerate Topological Edge States in Multimer Chains
• Two-particle topological Thouless spin pump
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Recent progress on disorder-induced topological phases
• Spontaneous superradiant photon current
• Synthetic $\pi$-flux system in 2D superconducting qubit array with tunable coupling
• Liouville Fock state lattices and potential simulators
• Quantized valley Hall response from local bulk density variations
• Topological dynamics of adiabatic cat states
• Principles of Optics in the Fock Space: Scalable Manipulation of Giant Quantum States
• Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion
• Characterizing the transition from topology to chaos in a kicked quantum system