Mollow triplet: pump probe single photon spectroscopy of artificial atoms

Abstract

We analyze a photon transport through an 1D open waveguide side coupled to the $N$-photon microwave cavity with embedded artificial two- level atom (qubit). The qubit state is probed by a weak signal at the fundamental frequency of the waveguide. Within the formalism of projection operators and non-Hermitian Hamiltonian approach we develop a one-photon approximation scheme to obtain the photon wavefunction which allows for the calculation of the probability amplitudes of the spontaneous transitions between the levels of two Rabi doublets in $N$- photon cavity. We obtain analytic expressions for the transmission and reflection factors of the microwave signal through a waveguide, which contain the information of the qubit parameters. We show that for small number of cavity photons the Mollow spectrum consists of four spectral lines which is a direct manifestation of quantum nature of light. The results obtained in the paper are of general nature and can be applied to any type of qubits. The specific properties of the qubit are only encoded in the two parameters: the energy $\Omega$ of the qubit and its coupling $\lambda$ to the cavity photons.

arXiv comment16 pages, 17 figures, Section VI is enlarged, a new Section VII is added

References in corpus (26)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Atomic physics and quantum optics using superconducting circuits
• Resonance Fluorescence of a Single Artificial Atom
• Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Electromagnetically induced transparency on a single artificial atom
• Dispersive Photon Blockade in a Superconducting Circuit
• Measurement of Autler-Townes and Mollow transitions in a strongly driven superconducting qubit
• Generation of nonclassical microwave states using an artificial atom in 1D open space
• Autler-Townes effect in a superconducting three-level system
• Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
• Giant Kerr nonlinearities in Circuit-QED
• Circuit QED and engineering charge based superconducting qubits
• Dynamics of quantum systems
• Electromagnetically induced transparency and Autler-Townes splitting in superconducting flux quantum circuits
• Electromagnetically-induced transparency with amplification in superconducting circuits
• Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
• Resonance fluorescence from an artificial atom in squeezed vacuum
• Photon blockade with a four-level quantum emitter coupled to a photonic-crystal nanocavity
• Quantum behaviour of a flux qubit coupled to a resonator
• Non-Hermitian Hamiltonian approach to the microwave transmission through one- dimensional qubit chain
• Parametric amplification by coupled flux qubits

Cited by in corpus (1)

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