Modeling the space-time correlation of pulsed twin beams

Area of Science:

• Quantum Optics
• Nonlinear Optics
• Quantum Information Science

Background:

• Entangled twin-beams from parametric down-conversion are crucial for quantum imaging due to their space-time multimodal nature.
• Existing theoretical descriptions are insufficient, creating a gap between complex simulations and simplified theories.

Purpose of the Study:

• To develop a semi-analytic model for entangled twin-beams generated via parametric down-conversion.
• To theoretically investigate quantum correlations and coherence in the angle-frequency domain of parametric emission.
• To bridge the gap between numerical simulations and plane-wave pump theories.

Main Methods:

• Development of a semi-analytic model for entangled twin-beams.
• Analysis of quantum correlation and coherence in the angle-frequency domain.
• Comparison with stochastic numerical simulations in the Wigner representation.

Main Results:

• The model predicts a [Formula: see text] growth in quantum correlation and coherence size as gain (g) increases.
• A corresponding contraction in the space-time distribution of the parametric emission is observed.
• Excellent agreement between the model's predictions and numerical simulations, even outside the model's expected validity range.

Conclusions:

• The proposed semi-analytic model provides an accurate and efficient description of entangled twin-beams.
• The model successfully captures the behavior of quantum correlations and coherence in parametric down-conversion.
• This work advances theoretical understanding for quantum imaging applications using entangled photons.