Ispas, Vlad-Haralambie (2026) From Rotations to Spin Contrast: Semiclassical and Quantum Dynamics of Spin-Embedded Nanorotors in Stern–Gerlach Interferometry. Master's Thesis / Essay, Physics.
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Abstract
Quantum-gravity-induced entanglement of masses (QGEM) aims to test whether gravity can mediate entanglement between mesoscopic objects in spatial superpositions. Motivated by this proposal, this thesis develops a self-contained framework for the translational, rotational and spin dynamics of an axially symmetric diamagnetic diamond nanorotor containing a spin-1 defect, with the nitrogen-vacancy centre as the main physical realisation. Starting from rotation theory and rigid-body mechanics, we derive the kinematics, canonical momenta and three-dimensional semiclassical Hamiltonian. The centre of mass and orientation are treated classically, while the internal spin is treated quantum mechanically. Controlled approximations then yield reduced spin-conditioned forces and torques. The equations are verified and solved using symbolic checks, fourth-order Runge–Kutta propagation, parameter scans and Monte Carlo sampling to study model consistency, trajectories, gyroscopic stabilisation, interferometric closure and robustness. Finally, fluctuations around the semiclassical branches are quantised to calculate the final mechanical wave-packet overlap and spin contrast, including finite-temperature effects. The framework links rotation theory to the mechanical dynamics and quantum closure of spin-based nanorotor interferometry relevant to QGEM.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Mazumdar, A. |
| Degree programme: | Physics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 21 Jul 2026 07:14 |
| Last Modified: | 21 Jul 2026 07:14 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/37451 |
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