Oscillating bound states in non-Markovian photonic lattices

Abstract

It is known that the superposition of two bound states in the continuum (BIC) leads to the phenomenon of an oscillating bound state, where excitations mediated by the continuum modes oscillate persistently. We perform exact calculations for the oscillating BICs in a 1D photonic lattice coupled to a "giant atom" at multiple points. Our work is significantly distinct from previous proposals of oscillating BICs in continuous waveguide systems due to the presence of a finite energy band contributing band-edge effects. In particular, we show that the bound states outside the energy band are detrimental to the oscillating BIC phenomenon, and can be suppressed by increasing either the number of coupling points or the separation between each coupling point. Crucially, non-Markovianity is necessary for the existence of oscillating BIC, and the oscillation amplitude increases with the characteristic delay time of the giant atom interactions. We also propose a novel initialization scheme in the BIC subspace. Our work be experimentally implemented on current photonic waveguide array platforms and opens up new prospects in utilizing reservoir engineering for the storage of quantum information in photonic lattices.

arXiv comment20 pages, 8 figures

References in corpus (34)

• Trapped-Ion Quantum Computing: Progress and Challenges
• Microwave photonics with superconducting quantum circuits
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Resonance Fluorescence of a Single Artificial Atom
• Near-unity coupling efficiency of a quantum emitter to a photonic-crystal waveguide
• Efficient all-optical switching using slow light within a hollow fiber
• Light propagation and localization in modulated photonic lattices and waveguides
• Strongly interacting photons in one-dimensional continuum
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Electromagnetically induced transparency on a single artificial atom
• Decoherence-free interaction between giant atoms in waveguide QED
• 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
• The giant acoustic atom -- a single quantum system with a deterministic time delay
• Oscillating bound states for a giant atom
• Non-Markovian Dynamics in Chiral Quantum Networks with Spins and Photons
• Bound states in the continuum in a single-level Fano-Anderson model
• Engineering and harnessing giant atoms in high-dimensional baths: a cold atoms' implementation
• Ultimate on-chip quantum amplifier
• Giant Atoms in a Synthetic Frequency Dimension
• Design and analysis of photonic crystal coupled cavity arrays for quantum simulation
• Photonic simulation of giant atom decay
• Excite atom-photon bound state inside the coupled-resonator waveguide coupled with a giant atom
• Single-photon nonreciprocal excitation transfer with non-Markovian retarded effects
• Rabi oscillation in a quantum cavity: Markovian and non-Markovian dynamics
• Cavity Quantum Electrodynamics with Frequency-Dependent Reflectors
• Storing quantum information using dark state polaritons
• Quantum trajectory theory of few photon cavity-QED systems with a time-delayed coherent feedback
• Rabi oscillations of bound states in the continuum
• Generating Haar-uniform Randomness using Stochastic Quantum Walks on a Photonic Chip
• Optical properties of an atomic ensemble coupled to a band edge of a photonic crystal waveguide
• Transmitting more than 10 bit with a single photon
• Cavitylike strong coupling in macroscopic waveguide QED using three coupled qubits in the deep non-Markovian regime

Cited by in corpus (24)

• Generation of two-giant-atom entanglement in waveguide-QED systems
• Non-Markovian dynamics with a giant atom coupled to a semi-infinite photonic waveguide
• Quantum interference and controllable magic cavity QED via a giant atom in coupled resonator waveguide
• Catch and release of propagating bosonic field with non-Markovian giant atom
• Avoiding decoherence with giant atoms in a two-dimensional structured environment
• Realizing quantum optics in structured environments with giant atoms
• Quantum optics with giant atoms in a structured photonic bath
• Single-photon scattering in giant-atom waveguide systems with chiral coupling
• Controlling photons by phonons via giant atom in a waveguide QED setup
• Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
• Entangling two giant atoms via a topological waveguide
• Circuit QED with a Giant Atom Coupling to Left-handed Superlattice Metamaterials
• Dressed Interference in Giant Superatoms: Entanglement Generation and Transfer
• Harnessing spontaneous emission of correlated photon pairs from ladder-type giant atoms
• Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Giant atom with disorders: Effects from imperfect couplings
• Giant atoms coupled to waveguide: Continuous coupling and multiple excitations
• Exact dynamics and bound states of a cavity coupled to a two-dimensional reservoir
• Nonlinear cascaded quantum network with giant emitters
• Oscillating bound states in waveguide-QED system with two giant atoms
• Strongly coupled giant-atom waveguide quantum electrodynamics
• Non-Markovian exceptional points in waveguide quantum electrodynamics
• Exotic collective behaviors of giant quantum emitters in two-dimensional baths