We present a theoretical proposal for, and simulation study of, a digital closed-loop thermal atomic beam interferometer for inertial navigation applications. The scheme synchronizes phase biasing with momentum-kick reversal through the atomic transit time, extracting four interferometric phases to suppress Raman beam path-length errors, while two-photon detuning feedback maintains a pseudoinertial frame and eliminates cross-coupling. The interferometer enables simultaneous measurements of acceleration and rotation based on an absolute, atom-interferometric reference, with high bandwidth and a wide dynamic range. Numerical simulations verify that acceleration and angular velocity can be measured simultaneously and independently in real time without cross-coupling, demonstrating the absolute, decoupled nature of the proposed measurement scheme. We further evaluate the noise-limited performance of the sensor and obtain sensitivities of $3(\text{μ}\mathrm{m}/{\mathrm{s}}^2)/\sqrt{\mathrm{Hz}}$ (velocity random walk) and $15\text{μ}\mathrm{deg}/\sqrt{\mathrm{h}}$ (angular random walk) for a $170{}^{\circ }\mathrm{C}{}^{85}\mathrm{Rb}$ beam and an interferometer arm length of 100 mm, surpassing the performance of sensors currently used in state-of-the-art inertial navigation systems.

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• Atom interferometry
• Quantum sensing
• Rotation sensing
• Atomic & molecular beams
• Mach-Zehnder atom interferometry
• Precision measurements