Deterministic quantum nonlinear optics with single atoms and virtual photons

Abstract

We show how analogues of a large number of well-known nonlinear-optics phenomena can be realized with one or more two-level atoms coupled to one or more resonator modes. Through higher-order processes, where virtual photons are created and annihilated, an effective deterministic coupling between two states of such a system can be created. In this way, analogues of three-wave mixing, four-wave mixing, higher-harmonic and -subharmonic generation (i.e., up- and downconversion), multiphoton absorption, parametric amplification, Raman and hyper-Raman scattering, the Kerr effect, and other nonlinear processes can be realized. The effective coupling becomes weaker the more intermediate transition steps are needed. However, given the recent experimental progress in ultrastrong light-matter coupling, especially in the field of circuit quantum electrodynamics, we estimate that many of these nonlinear-optics analogues can be realized with currently available technology.

23 pages, 10 figures, 2 tables

References in corpus (19)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• High Cooperativity Cavity QED with Magnons at Microwave Frequencies
• Diamondoid Molecules
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Black-box superconducting circuit quantization
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Low-decoherence flux qubit
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Multiple Rabi Splittings under Ultra-Strong Vibrational Coupling
• Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
• Thermal and Residual Excited-State Population in a 3D Transmon Qubit
• Ultrastrong Coupling in the Near-field of Complementary Split Ring Resonators
• Scattering in the ultrastrong regime: nonlinear optics with one photon
• Characteristic spectra of circuit quantum electrodynamics systems from the ultrastrong- to the deep-strong-coupling regime
• Breakdown of the cross-Kerr scheme for Photon Counting

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