Dynamics of coherent and incoherent emission from an artificial atom in a 1D space
A. A. Abdumalikov, O. V. Astafiev, Y. Nakamura, J. S. Tsai

TL;DR
This paper investigates the emission dynamics of a superconducting flux qubit in a 1D space, revealing how coherent and incoherent emissions relate to the atom's quantum states and enabling spectral reconstruction.
Contribution
It demonstrates full control and measurement of a superconducting qubit's emission dynamics, linking emission properties to quantum state information and spectral features.
Findings
Coherent emission shows decaying oscillations shifted by π/2 from incoherent emission.
Incoherent emission is proportional to atomic population.
Reconstructed resonance fluorescence spectrum matches direct measurements.
Abstract
We study dynamics of an artificial two-level atom in an open 1D space by measuring evolution of its coherent and incoherent emission. States of the atom -- a superconducting flux qubit coupled to a transmission line -- are fully controlled by resonant excitation microwave pulses. The coherent emission -- a direct measure of superposition in the atom -- exhibits decaying oscillations shifted by from oscillations of the incoherent emission, which, in turn, is proportional to the atomic population. The emission dynamics provides information about states and properties of the atom. By measuring the coherent dynamics, we derive two-time correlation function of fluctuations and, using quantum regression formula, reconstruct the incoherent spectrum of the resonance fluorescence triplet, which is in a good agreement with the directly measured one.
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