Topological multi-mode waveguide QED

Abstract

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional topological insulators the boundary modes are chiral, one-dimensional propagating modes along the edges of the system. Thus, topological photonic insulators with large Chern numbers naturally display a topologically protected multimode waveguide at their edges. Here, we show how to take advantage of these topologically protected propagating modes by interfacing them with quantum emitters. In particular, using a Harper-Hofstadter lattice, we find situations in which the emitters feature quasiquantized decay rates due to the increasing number of edge modes, and where their spontaneous emission spatially separates in different modes. We also show how using a single $\pi$-pulse the combination of such spatial separation and the interacting character of the emitters leads to the formation of a single-photon time-bin entangled state with no classical analog, which we characterize computing its entanglement entropy. Finally, we also show how the emitters can selectively interact with the different channels using nonlocal light-matter couplings such as the ones that can be obtained with giant atoms. Such capabilities pave the way for generating quantum gates among topologically protected photons as well as generating more complex entangled states of light in topological channels.

18 pages, 14 figures. Code available at https://github.com/Carlos-Vega-97/Topological-multi-mode-waveguide-QED

References in corpus (20)

• Chiral Quantum Optics
• Topological Mott Insulators
• Deterministic Generation of a Cluster State of Entangled Photons
• A photonic cluster state machine gun
• Optically generated 2-dimensional photonic cluster state from coupled quantum dots
• A perspective on topological nanophotonics: current status and future challenges
• Engineering and harnessing giant atoms in high-dimensional baths: a cold atoms' implementation
• Flat bands with higher Chern number in pyrochlore slabs
• Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
• Fractional Quantum Hall States of Rydberg Polaritons
• Topological growing of Laughlin states in synthetic gauge fields
• Perturbative Approach to Flat Chern Bands in the Hofstadter Model
• Topological input-output theory for directional amplification
• Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain
• Biphoton entanglement of topologically-distinct modes
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Generation of Photonic Matrix Product States with Rydberg Atomic Arrays
• Light-matter interactions near photonic Weyl points
• Correlations and entanglement in flat band models with variable Chern numbers

Cited by in corpus (29)

• Topological photonics: fundamental concepts, recent developments, and future directions
• Chiral quantum optics: recent developments, and future directions
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Catch and release of propagating bosonic field with non-Markovian giant atom
• Avoiding decoherence with giant atoms in a two-dimensional structured environment
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• Quantum optics with giant atoms in a structured photonic bath
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Topological inverse band theory in waveguide quantum electrodynamics
• Single-photon scattering in giant-atom topological-waveguide-QED systems
• Strongly interacting photons in 2D waveguide QED
• Probing and harnessing photonic Fermi arc surface states using light-matter interactions
• Passive photonic CZ gate with two-level emitters in chiral multi-mode waveguide QED
• Dressed Interference in Giant Superatoms: Entanglement Generation and Transfer
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Dynamical excitation control and multimode emission of an atom-photon bound state
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Entanglement of photonic modes from a continuously driven two-level system
• Giant atom with disorders: Effects from imperfect couplings
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Quantum Sensing with Topological-Paired Bound States
• Non-Hermitian topological filters
• Chirality, Nonreciprocity and Symmetries for a Giant Atom
• Scattering States in One-Dimensional Non-Hermitian Baths
• Engineering giant transmon molecules as mediators of conditional two-photon gates
• Controlling directional propagation in driven-dissipative 2D photonic lattices
• Weak-coupling bound states in semi-infinite topological waveguide QED
• Flat band mediated photon-photon interactions in 2D waveguide QED networks