Non-Markovian dynamics with a giant atom coupled to a semi-infinite photonic waveguide
arXiv:2404.07890 · doi:10.1103/PhysRevA.109.023712
Abstract
We study the non-Markovian dynamics of a two-level giant atom interacting with a one-dimensional semi-infinite waveguide through multiple coupling points, where a perfect mirror is located at the endpoint of the waveguide. The system enters a non-Markovian process when the travel time of the photon between adjacent coupling points is sufficiently large compared to the inverse of the bare relaxation rate of the giant atom. The photon released by the spontaneous emission of the atom transfers between multiple coupling points through the waveguide or is reabsorbed by the atom with the photon emitted via the atom having completed the round trip after reflection of the mirror, which leads to the photon being trapped and forming bound states. We find that three different types of bound states can be formed in the system, containing the static bound states with no inversion of population, the periodic equal amplitude oscillation with two bound states, and the periodic non-equal amplitude oscillation with three bound states. The physical origins of three bound states formation are revealed. Moreover, we consider the influences of the dissipation of unwanted modes and dephasing on the bound states. Finally, we extend the system to a more general case involving many giant atoms coupled into a one-dimensional semi-infinite waveguide. The obtained set of delay differential equations for the giant atoms might open a way to better understand the non-Markovian dynamics of many giant atoms coupled to a semi-infinite waveguide.
19 pages, 18 figures
References in corpus (24)
- Microwave photonics with superconducting quantum circuits
- Propagating phonons coupled to an artificial atom
- Bright single-photon sources in bottom-up tailored nanowires
- Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
- Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
- Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
- Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states
- Dynamics of spontaneous emission in a single-end photonic waveguide
- Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
- Characterizing Quantum Microwave Radiation and its Entanglement with Superconducting Qubits using Linear Detectors
- Engineering and harnessing giant atoms in high-dimensional baths: a cold atoms' implementation
- Quantum anti-Zeno effect without rotating wave approximation
- Scattering of two photons from two distant qubits: Exact solution
- Generation, manipulation, and detection of two-qubit entanglement in waveguide QED
- Photonic simulation of giant atom decay
- Coherent single-photon scattering spectra for a giant-atom waveguide-QED system beyond dipole approximation
- Reduction of superintegrable systems: the anisotropic harmonic oscillator
- Manipulating single-photon transport in a waveguide-QED structure containing two giant atoms
- Delayed Coherent Quantum Feedback from a Scattering Theory and a Matrix Product State Perspective
- Generation of two-giant-atom entanglement in waveguide-QED systems
- Single photon scattering from a chain of giant atoms coupled to a one-dimensional waveguide
- Multiple ground-state instabilities in the anisotropic quantum Rabi model
- Noise assisted quantum coherence protection in hierarchical environment
- Strongly entangled system-reservoir dynamics with multiphoton pulses beyond the two-excitation limit: Exciting the atom-photon bound state