Scattering in the ultrastrong regime: nonlinear optics with one photon
arXiv:1406.5779 · doi:10.1103/PhysRevLett.113.263604
Abstract
The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed beyond the rotating wave approximation using Matrix Product States. It is found that the scattering is strongly influenced by the single- and multi-photon dressed bound states present in the system. In the ultrastrong coupling regime a new channel for inelastic scattering appears, where an incident photon deposits energy into the qubit, exciting a photon-bound state, and escaping with a lower frequency. This single-photon nonlinear frequency conversion process can reach up to 50\% efficiency. Other remarkable features in the scattering induced by counter-rotating terms are a blueshift of the reflection resonance and a Fano resonance due to long-lived excited states
5+4 pages
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- Modelling quantum light-matter interactions in waveguide-QED with retardation and a time-delayed feedback: matrix product states versus a space-discretized waveguide model
- Multiple Fano interferences due to waveguide-mediated phase-coupling between atoms
- Ultrastrong coupling dynamics with a transmon qubit
- Collective Radiance Effects in the Ultrastrong Coupling Regime
- Nonlinear quantum optics in the (ultra)strong light-matter coupling
- Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
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- Quantum topology in the ultrastrong coupling regime
- Transmon in a semi-infinite high-impedance transmission line -- appearance of cavity modes and Rabi oscillations