We have calculated the cross section for Raman scattering of light from a hydrogenic atom, for a wide range of photon energies. The calculation assumes the photon encounters the atom in its ground state and excites it to the
2s state. Since various contributions to the matrix element may be isolated in the computation, the calculation allows one to obtain a notion of the relative importance of various classes of intermediate states in a given frequency range. We also point out that the Raman efficiency
S may be expressed in terms of the derivative of the electronic polarizability tensor with respect to a parameter that measures the degree of excitation of the atom. Thus, the formal expression for
S assumes an appearance identical to the expression encountered in the phenomenological theory of the first-order Raman effect in solids.
We propose an approach to simultaneously excite two atoms by using a cavity-assisted Raman process in combination with a cavity-photon-mediated interaction. The system consists of a two-level atom and a $\mathrm{\ensuremath{\Lambda}}$-type or
V-type three-level atom, which are coupled together with a cavity mode. Having derived the effective Hamiltonian, we find that under certain circumstances a single photon can simultaneously excite two atoms. In addition, multiple photons and even a classical field can also simultaneously excite two atoms. As an example, we show a scheme to realize our proposal in a circuit QED setup, which is artificial atoms coupled with a cavity. The dynamics and the quantum-statistical properties of the process are investigated with experimentally feasible parameters.
Scaling up single-photon sources directly on a chip is a fundamental requirement for realizing quantum information protocols that demand scalable, integrated photonic qubits. Integrating multiple quantum emitters in a circuit has encountered major roadblocks in wavelength disparity and the lack of a compact excitation method. The authors demonstrate simultaneous excitation of two quantum dots in the same circuit and independent control of the emitters' wavelengths, enabling two-photon quantum interference. Spectral diffusion is not as detrimental to the interference process as anticipated. These results address a longstanding challenge in quantum photonics.