Two-dimensional matter-wave interferometer, rotational dynamics, and spin contrast

• URL: http://arxiv.org/abs/2603.05595v1
• Date: Thu, 05 Mar 2026 19:00:10 GMT
• Title: Two-dimensional matter-wave interferometer, rotational dynamics, and spin contrast
• Abstract summary: We consider the spin-contrast of the nitrogen-vacancy centred nanodiamond in combination with a two-dimensional magnetic field setup.<n>We analyse the dynamical motion along with the rigid rotation under the influence of the external magnetic field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate a two-dimensional matter-wave interferometer where both spatial and rotational dynamics of a nanoparticle are intertwined in closing the one-loop interferometer in the Stern-Gerlach type setup. We consider the spin-contrast of the nitrogen-vacancy (NV) centred nanodiamond in combination with a two-dimensional magnetic field setup to extend the one-dimensional Stern--Gerlach interferometry. We analyse the dynamical motion along with the rigid rotation under the influence of the external magnetic field. Regarding rotation, we incorporate Euler-angle dynamics to analyse the stability of rotational degrees of freedom and their influence on the spin contrast to address the Humpty-Dumpty problem. We show that by imparting external rotation provides the gyroscopic stability to the liberating mode of the NV-spin and hence helps to improve the contrast. Our scheme creates a tiny spatial superposition of size $\sim 0.21~{\rm μm}$ for mass $m=10^{-17}$kg in less than $t\sim 0.013$s.

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