Jupyter/QuTiP simulator for the manuscript:
Melissa Coronado-Arrieta and Boris Kiefer,
"Beyond the HOM Dip: A Multi-Metric Module for Teaching Two-Mode Quantum Optical Interference"
This notebook supports an upper-division quantum optics module on Hong--Ou--Mandel (HOM) interference beyond the canonical coincidence dip. It compares Fock, superposition, coherent, and squeezed two-mode inputs under three output metrics:
- on/off coincidence probability (P_c),
- normalized cross-correlation (g^{(2)}_{12}),
- noise-reduction factor (NRF).
README.md
requirements.txt
sim_HOM.ipynb
LICENSE
The simulator uses the beam-splitter convention
[ t=\cos(\theta/2), \qquad r=e^{i\phi}\sin(\theta/2), ]
with the balanced point at (\theta=\pi/2). The default module setting is (\phi=\pi/2).
The coincidence metric (P_c) is an on/off threshold-detector coincidence probability:
[ P_c = 1-P_{0,c}-P_{0,d}+P_{0,cd}. ]
For the (|1\rangle_a|1\rangle_b) input, this equals the usual one-photon-in-each-output HOM coincidence event. For coherent and squeezed inputs, it includes multiphoton threshold-detector coincidences and is not only the projection onto (|1,1\rangle).
python -m venv hom_env
source hom_env/bin/activate # Windows: hom_env\Scripts\activate
pip install -r requirements.txt
jupyter labor with conda:
conda create -n hom_env python=3.11
conda activate hom_env
pip install -r requirements.txt
jupyter lab- Open the notebook.
- Select the Fock and coherent input families.
- Sweep (\theta) through (\theta=\pi/2).
- Compare (P_c(\theta)), (g^{(2)}_{12}(\theta)), and NRF((\theta)).
- Add the superposition and squeezed inputs.
- Identify where different metrics agree or disagree.
| Quantity | Default |
|---|---|
| Beam-splitter phase | (\phi=\pi/2) |
| Sweep | (\theta\in[0,\pi]) |
| Coherent input | ( |
| Squeezed input | equal SMSV inputs, (r=6) dB |
| Squeezing phases | (0), (\pi/2) |
| Fock cutoff | (N_{\rm cut}=12) |
| Sweep grid | 61 points |
A formal citation, DOI, arXiv identifier, or journal reference will be added when available.
- Melissa Coronado-Arrieta, Department of Physics, New Mexico State University
- Boris Kiefer, Department of Physics, New Mexico State University
Email: bkiefer@nmsu.edu
Melissa Coronado-Arrieta and Boris Kiefer acknowledge support from the National Science Foundation through QCAP-Pilot and QCAP-Design, NSF Award Nos. OSI-2410813 and OSI-2531569.
See LICENSE.