Incomplete spontaneous decay in a waveguide caused by polarization selection

Abstract

Spontaneous decay of an excited atom in a waveguide is essentially modified by the spatial structure of vacuum reservoir. This is particularly exciting in view of a range of applications for quantum information science. We found out that spontaneous decay can be incomplete, so the time dependence of the excited state population asymptotically approaches to a nonzero value, under the conditions when the atomic transition frequency is larger than the cutoff frequency of a waveguide and far from the vicinities of the cut-offs. Discovered effect is explained by the emergence of the dark state, which is non-decaying due to polarization selection rules. It was revealed for single-mode waveguide with rectangular cross section both in single-atom case and diatomic case when the long-range dipole-dipole interaction plays a significant role.

References in corpus (20)

• A single-photon transistor using nano-scale surface plasmons
• Quantum Routing of Single Photons with Cyclic Three-Level System
• Large Bragg Reflection from One-Dimensional Chains of Trapped Atoms Near a Nanoscale Waveguide
• Quantum information processing with single photons and atomic ensembles in microwave coplanar waveguide resonators
• A "Single-Photon" Transistor in Circuit Quantum Electrodynamics
• Quantum switch for single-photon transport in a coupled superconducting transmission line resonator array
• Microscopic Theory of Scattering of Weak Electromagnetic Radiation by a Dense Ensemble of Ultracold Atoms
• Dispersion of the dielectric permittivity of dense and ultracold atomic gases
• Quantum-information transfer in a coupled resonator waveguide
• Continuous wave single photon transistor based on a superconducting circuit
• Angular distribution of single photon superradiance in a dilute and cold atomic ensemble
• Control of light trapping in a large atomic system by a static magnetic field
• Single Plasmon Switching with n Quantum Dots System Coupled to One-Dimentional Waveguide
• Reflection of resonant light from a plane surface of an ensemble of motionless point scatters: Quantum microscopic approach
• Light trapping in an ensemble of point-like impurity centers in Fabry-Perot cavity
• Microscopic Lensing by a Dense, Cold Atomic Sample
• A scaling law for light scattering from dense and cold atomic ensembles
• Resonance energy transfer between two atoms in a conducting cylindrical waveguide
• Light Scattering From an Atomic Array Trapped Near a One-Dimensional Nanoscale Waveguide: a Microscopic Approach
• Many-body cooperative effects in an ensemble of point-like impurity centers near a charged conductive surface

Cited by in corpus (4)

• Light propagation in a random three-dimensional ensemble of point scatterers in a waveguide: size-dependent switching between diffuse radiation transfer and Anderson localization of light
• Atomic excitation trapping in dissimilar chirally-coupled atomic arrays
• Strongly Confined Atomic Excitation Localization in a Weakly-Driven Atom-Waveguide Interface
• Manipulating Excitation Dynamics in Structured Waveguide Quantum Electrodynamics