Catapulting towards massive and large spatial quantum superposition

• URL: http://arxiv.org/abs/2206.04088v2
• Date: Tue, 11 Oct 2022 16:03:25 GMT
• Title: Catapulting towards massive and large spatial quantum superposition
• Authors: Run Zhou, Ryan J. Marshman, Sougato Bose, and Anupam Mazumdar
• Abstract summary: Large spatial quantum superposition of size $cal O (1-10)rm mu textm$ for mass $m sim 10-17-10-14textkg$ is required to probe the foundations of quantum mechanics. We will show that it is possible to accelerate the two spin states of a macroscopic nano-crystal sourced by the inhomogeneous nonlinear magnetic field in the Stern-Gerlach type setup.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Large spatial quantum superposition of size ${\cal O}(1-10)~{\rm \mu \text{m}}$ for mass $m \sim 10^{-17}-10^{-14}~\text{kg}$ is required to probe the foundations of quantum mechanics and testing classical and quantum nature of gravity via entanglement in a laboratory. In this paper, we will show that it is possible to accelerate the two spin states of a macroscopic nano-crystal sourced by the inhomogeneous nonlinear magnetic field in the Stern-Gerlach type setup. We will assume that the electronic spin can be embedded at the centre of the nano-crystal, such as the nitrogen-vacancy (NV) centre of diamond. Our analysis will be generic to any dopant or any material. We will show that we can create a desired superposition size within $1-2$ seconds by catapulting the trajectories of the two spin states with a modest magnetic field gradient and then recombine the trajectories for a coherent interference. We will show the demanding nature of the precision required in the magnetic field to recover $99\%$ spin coherence confidence level at the moment of interference.

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