Circuit QED with a Giant Atom Coupling to Left-handed Superlattice Metamaterials

Abstract

Giant atoms, where the dipole approximation ceases to be valid, allow us to observe unconventional quantum optical phenomena arising from interference and time-delay effects. Most previous studies consider giant atoms coupling to conventional materials with right-handed dispersion. In this study, we first investigate the quantum dynamics of a giant atom interacting with left-handed superlattice metamaterials. Different from those right-handed counterparts, the left-handed superlattices exhibit an asymmetric band gap generated by anomalous dispersive bands and Bragg scattering bands. First, by assuming that the giant atom is in resonance with the continuous dispersive energy band, spontaneous emission will undergo periodic enhancement or suppression due to the interference effect. At the resonant position, there is a significant discrepancy in the spontaneous decay rates between the upper and lower bands, which arises from the differences in group velocity. Second, we explore the non-Markovian dynamics of the giant atom by considering the frequency of the emitter outside the energy band, where bound states will be induced by the interference between two coupling points. By employing both analytical and numerical methods, we demonstrate that the steady atomic population will be periodically modulated, driven by variations in the size of the giant atom. The presence of asymmetric band edges leads to diverse interference dynamics. Finally, we consider the case of two identical emitters coupling to the waveguide and find that the energy within the two emitters undergoes exchange through the mechanism Rabi oscillations.

arXiv comment11 pages, 7 figures

References in corpus (61)

• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Circuit Quantum Electrodynamics
• A Quantum Engineer's Guide to Superconducting Qubits
• Interfacing single photons and single quantum dots with photonic nanostructures
• Microwave photonics with superconducting quantum circuits
• Effective Hamiltonian Theory and Its Applications in Quantum Information
• A gradient index metamaterial
• Decoherence-free interaction between giant atoms in waveguide QED
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Waveguide Quantum Electrodynamics with Giant Superconducting Artificial Atoms
• Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
• Nonexponential decay of a giant artificial atom
• Unconventional quantum optics in topological waveguide QED
• Atom-field dressed states in slow-light waveguide QED
• Tunable Chiral Bound States with Giant Atoms
• Quantum electrodynamics in a topological waveguide
• Engineering the Level Structure of a Giant Artificial Atom in Waveguide Quantum Electrodynamics
• Oscillating bound states for a giant atom
• Dimensional Crossover of Topological Edge States in Su-Schrieffer-Heeger Model
• Progress in Superconducting Metamaterials
• Single-photon scattering and bound states in an atom-waveguide system with two or multiple coupling points
• Markovian and Non-Markovian Dynamics of Quantum Emitters coupled to Two-dimensional Structured Reservoirs
• Nonradiative interaction and entanglement between distant atoms
• Mechanism of decoherence-free coupling between giant atoms
• Nonreciprocal and chiral single-photon scattering for giant atoms
• Chiral Quantum Network with Giant Atoms
• Giant Atoms in a Synthetic Frequency Dimension
• Generation of maximally-entangled long-lived states with giant atoms in a waveguide
• Beyond Spontaneous Emission: Giant Atom Bounded in Continuum
• Kerr coefficients of plasma resonances in Josephson junction chains
• Coherent single-photon scattering spectra for a giant-atom waveguide-QED system beyond dipole approximation
• Single-photon frequency conversion via a giant $\Lambda$-type atom
• Non-Markovian disentanglement dynamics in double-giant-atom waveguide-QED systems
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Excite atom-photon bound state inside the coupled-resonator waveguide coupled with a giant atom
• Oscillating bound states in non-Markovian photonic lattices
• Giant atoms with time-dependent couplings
• Complex decoherence-free interactions between giant atoms
• Interaction between giant atoms in a one-dimensional structured environment
• Multimode circuit QED with hybrid metamaterial transmission lines
• Vacuum-Induced Symmetry Breaking in a Superconducting Quantum Circuit
• Entanglement preparation and non-reciprocal excitation evolution in giant atoms by controllable dissipation and coupling
• Photon molecules in atomic gases trapped near photonic crystal waveguides
• A single trapped atom in front of an oscillating mirror
• Ultrastrong waveguide QED with giant atoms
• Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms
• Fermi golden rule beyond the Zeno regime
• Mode Structure in Superconducting Metamaterial Transmission Line Resonators
• A giant atom with modulated transition frequency
• Multi-mode architectures for noise-resilient superconducting qubits
• Unconventional Quantum Electrodynamics with Hofstadter-Ladder Waveguide
• Coupling a Superconducting Qubit to a Left-Handed Metamaterial Resonator
• Left-handed superlattice metamaterials for circuit QED
• Autler-Townes multiplet spectroscopy
• Nonperturbative decay dynamics in metamaterial waveguides
• Chiral SQUID-metamaterial waveguide for circuit-QED
• Spontaneous isotropy breaking for vortices in nonlinear left-handed metamaterials
• Left-handedness in the balanced/unbalanced resonance conditions of a quantized composite right-left handed transmission line

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