Markovian Approach to N-Photon Correlations beyond the Quantum Regression Theorem

Area of Science:

• Quantum optics
• Solid-state physics
• Spectroscopy

Background:

• Multiphoton correlations in quantum emitters are crucial for quantum technologies.
• Standard methods like the quantum regression theorem struggle with vibrational environments.
• Understanding phonon-emitter interactions is key to controlling quantum light properties.

Purpose of the Study:

• To introduce a novel Markovian framework for calculating frequency-resolved N-photon correlation functions.
• To overcome the limitations of existing theoretical tools for complex quantum systems.
• To investigate phonon effects on fluorescence and coherence in semiconductor quantum dots.

Main Methods:

• Developed a Markovian quantum dynamics framework.
• Computed frequency-resolved N-photon correlation functions.
• Applied the method to a driven semiconductor quantum dot model.

Main Results:

• Accurately described phonon effects on fluorescence beyond the single-photon spectrum.
• Captured the emergence of the phonon sideband, often missed by conventional methods.
• Revealed phonon-induced structures in the filtered two-photon spectrum.
• Demonstrated that phonon sideband photons inherit Mollow triplet coherence properties.

Conclusions:

• The new framework provides a tractable approach for analyzing multiphoton correlations in vibronic systems.
• Phonon sidebands significantly influence the coherence properties of emitted photons.
• This work offers new insights into light-matter interactions in quantum dots.