Correlations of cascaded photons: An analytical study in the two-photon Mollow regime

Abstract

Mollow physics in the two-photon regime shows interesting features such as path-controlled time-reordering of photon pairs without the need to delay them. Here, we calculate analytically the two-photon correlations $g^{(2)}(\tau )$, essential to discuss and study such phenomena in the resonant-driven dressed-state regime. It is shown that there exists upper and lower bounds of the $g^{(2)}(\tau )-$ function for certain spectrally-selected photon pairs. Recent reported experiments agree with the presented theory and thereby it is shown that the resonant-driven four-level system is an interesting source for steerable quantum light in quantum cascade setups. We furthermore discuss the unlikeliness to observe antibunching for the delay time $\tau =0$ in the exciton-biexciton correlation functions in such experiments, since antibunching stems from a coherent and in-phase superposition of different photon emission events. Due to the occuring laser photon scattering, this coherent superposition state is easily disturbed and leads to correlation functions of $g^{(2)}(0)=1$.

arXiv comment5 figures

References in corpus (36)

• The Quantum Internet
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Significant-loophole-free test of Bell's theorem with entangled photons
• Multi-photon entanglement and interferometry
• On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar
• Entangled Photon Pairs from Semiconductor Quantum Dots
• Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
• On-demand generation of indistinguishable polarization-entangled photon pairs
• Enhanced photon-extraction efficiency from deterministic quantum-dot microlenses
• Two-Photon Blockade in an Atom-Driven Cavity QED System
• Improved fidelity of triggered entangled photons from single quantum dots
• Emitters of $N$-photon bundles
• Exploring Dephasing of a Solid-State Quantum Emitter via Time- and Temperature- Dependent Hong-Ou-Mandel Experiments
• Spontaneous two photon emission from a single quantum dot
• Theory of frequency-filtered and time-resolved N-photon correlations
• Reducing phonon-induced decoherence in solid-state single-photon sources with cavity quantum electrodynamics
• Two-photon spectra of quantum emitters
• Exciting polaritons with quantum light
• Two-photon lasing by a single quantum dot in a high-Q microcavity
• Two-Color Photon Correlations of the Light Scattered by a Quantum Dot
• A bright triggered twin-photon source in the solid state
• Entanglement on demand through time reordering
• Quantum-to-Classical Transition in Cavity Quantum Electrodynamics
• Theory of the quantum-dot Mollow triplet in an exciton-driven semiconductor cavity
• Photon statistics from a resonantly driven quantum dot
• Cavity-enhanced simultaneous dressing of quantum dot exciton and biexciton states
• On-demand source of maximally entangled photon-pairs using the biexciton-exciton radiative cascade
• Optimization of photon correlations by frequency filtering
• Correlations and entanglement of microwave photons emitted in a cascade decay
• Path-controlled time reordering of paired photons in a dressed three-level cascade
• Quantum-optical spectroscopy of a two-level system using an electrically driven micropillar laser as resonant excitation source
• Polarization-entangled twin photons from two-photon quantum-dot emission
• Generation of maximally entangled states and coherent control in quantum dot microlenses
• Entangled photon pairs from a quantum dot cascade decay: the effect of time-reordering
• Non-linear two-photon resonance fluorescence on a single artificial atom
• Transition from Jaynes-Cummings to Autler-Townes ladder in a quantum dot-microcavity system