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Atom Interferometry Simulator

A compact, physics-first simulator for an ideal vertical light-pulse atom interferometer used for inertial and gravity sensing.

The model implements the standard three-pulse Raman/Mach-Zehnder sequence (π/2 – π – π/2) and focuses on

[ \Phi = k_{\mathrm{eff}} g T^2 + \phi_0. ]

What is implemented

  • ideal interferometer phase k_eff g T² + phi0
  • output-state probability and fringe calculation
  • phase scanning
  • recovery of g from measured phase
  • simple vertical trajectory under gravity
  • pulse timing for the 0, T, 2T sequence
  • unit tests and GitHub Actions CI

Quick example

from atom_interferometer import InterferometerConfig, interferometer_phase, output_probability

cfg = InterferometerConfig(
    effective_wavevector=4 * 3.141592653589793 / 780e-9,
    pulse_separation=0.10,
)

phase = interferometer_phase(cfg, g=9.81)
probability = output_probability(phase)

print(phase)
print(probability)

Physics model

For an ideal uniform gravitational field,

[ \Phi_g = k_{\mathrm{eff}} g T^2. ]

The normalized population in one output port is

[ P = \frac{1}{2}\left[1 + C\cos(\Phi)\right]. ]

Visual research overview

Selected public simulation results from a separate atom-interferometry / cold-atom gravimetry analysis are shown below. They are not generated by atom_interferometer.py.

Three-pulse sensitivity function Phase-noise weighting
Three-pulse atom-interferometer sensitivity function Phase-noise weighting function
Finite-pulse sensitivity function. Frequency-domain phase-noise weighting.

Gravimeter sensitivity

Simulated gravimeter sensitivity versus vibration noise

This figure compares a baseline vibration model with an elevated vibration-noise case. It is simulated, not measured data.

See the visual results index and research-results notes.

Roadmap

  • finite pulse duration and Rabi dynamics
  • launch versus drop trajectories
  • Doppler detuning and Raman chirp
  • vibration and laser phase noise
  • Monte Carlo atomic ensembles
  • sensitivity versus interrogation time
  • gravity-gradient and rotation terms
  • systematic shifts
  • fringe fitting and Allan-deviation analysis

Note

This repository consolidates and updates related work for easier maintenance and reference.

The educational simulator and selected research figures are kept separate.

About

Light-pulse atom-interferometer simulation for phase, fringes, trajectories, gravity extraction, and sensitivity studies.

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