Deterministic three-photon down-conversion by a passive ultrastrong cavity-QED system

Abstract

In ultra- and deep-strong cavity quantum electrodynamics (QED) systems, many intriguing phenomena that do not conserve the excitation number are expected to occur. In this study, we theoretically analyze the optical response of an ultrastrong cavity-QED system in which an atom is coupled to the fundamental and third harmonic modes of a cavity, and report the possibility of deterministic three-photon down-conversion of itinerant photons upon reflection at the cavity. In the conventional parametric down-conversion, a strong input field is needed because of the smallness of the transition matrix elements of the higher order processes. However, if we use an atom-cavity system in an unprecedentedly strong-coupling region, even a weak field in the linear-response regime is sufficient to cause this rare event involving the fourth order transitions.

13 pages, 9 figures

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Cited by in corpus (8)

• Nonperturbative cavity quantum electrodynamics: is the Jaynes-Cummings model still relevant?
• Extremely large Lamb shift in a deep-strongly coupled circuit QED system with a multimode resonator
• Diamond optomechanical cavity with a color center for microwave-to-optical quantum interfaces
• Direct detection of down-converted photons spontaneously produced at a single Josephson junction
• Strong coupling between a single-photon and a two-photon Fock state
• Properties and dynamics of generalized squeezed states
• $N$-photon bundles emission in high-spin Jaynes-Cummings model
• Release of virtual photon and phonon pairs from qubit-plasmon-phonon ultrastrong coupling system