Spontaneous emission in dispersive media without point-dipole approximation

Abstract

We study a two-level quantum system embedded in a dispersive environment and coupled with the electromagnetic field. We expand the theory of light-matter interactions to include the spatial extension of the system, taken into account through its wavefunctions. This is a development beyond the point-dipole approximation. This ingredient enables us to overcome the divergence problem related to the Green tensor propagator. Hence, we can reformulate the expressions for the spontaneous emission rate and the Lamb shift. In particular, the inclusion of the spatial structure of the atomic system clarifies the role of the asymmetry of atomic states with respect to spatial inversion in these quantities.

arXiv comment22 pages, 8 figures

References in corpus (23)

• Quantum sensing
• The nitrogen-vacancy colour centre in diamond
• Spontaneous decay in the presence of dispersing and absorbing bodies: general theory and application to a spherical cavity
• Quantum emitters coupled to surface plasmons of a nano-wire: A Green function approach
• The microscopic nature of localization in the quantum Hall effect
• Spontaneous decay of an excited atom in an absorbing dielectric
• Strongly Cavity-Enhanced Spontaneous Emission from Silicon-Vacancy Centers in Diamond
• Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry
• Quantum local-field corrections and spontaneous decay
• Spontaneous emission from large quantum dots in nanostructures: exciton-photon interaction beyond the dipole approximation
• Experimental investigation of quantum decay at short, intermediate and long times via integrated photonics
• Asymmetric quantum dot in microcavity as a nonlinear optical element
• Collective effects in Casimir-Polder forces
• Casimir stress in an inhomogeneous medium
• Quantized Fields in a Nonlinear Dielectric Medium: A Microscopic Approach
• Creation of a squeezed photon distribution using artificial atoms with broken inversion symmetry
• Interaction of atomic systems with quantum vacuum beyond electric dipole approximation
• Enhancement of the spontaneous emission in subwavelength quasi-two-dimensional waveguides and resonators
• Two-level system with broken inversion symmetry coupled to a quantum harmonic oscillator
• Nonexponential decay of Feshbach molecules
• Regularization of the second-order partial derivatives of the Coulomb potential of a point charge
• Lasing at arbitrary frequencies with atoms with broken inversion symmetry and an engineered electromagnetic environment
• Duality in asymmetric Quantum optical Ramsey interferometers

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