Catapulting towards massive and large spatial quantum superposition

Abstract

Large spatial quantum superposition of size $\mathcal{O}(1-10)\mu \text{m}$ 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.

18 pages, 16 figures

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• Killing Horizons Decohere Quantum Superpositions
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• Probing massless and massive gravitons via entanglement in a warped extra dimension
• Quantum entanglement of masses with non-local gravitational interaction
• Mass-independent scheme for enhancing spatial quantum superpositions
• Relaxation of experimental parameters in a Quantum-Gravity Induced Entanglement of Masses Protocol using electromagnetic screening
• Decoherence of a matter-wave interferometer due to dipole-dipole interactions
• Quantum Gravitational Sensor for Space Debris
• Distinguishing Jordan and Einstein frames in gravity through entanglement
• Micron-size spatial superpositions for the QGEM-protocol via screening and trapping
• Dephasing due to electromagnetic interactions in spatial qubits
• Gravitational Harmonium: Gravitationally Induced Entanglement in a Harmonic Trap
• Inference of gravitational field superposition from quantum measurements
• Testing Whether Gravity Acts as a Quantum Entity When Measured
• Gravitational decoherence by the apparatus in the quantum-gravity induced entanglement of masses
• Decoherence rate expression due to air molecule scattering in spatial qubits
• Phonon-induced contrast in a matter-wave interferometer
• Inertial Torsion Noise in Matter-Wave Interferometers for Gravity Experiments
• Magnetic noise in macroscopic quantum spatial superposition
• How to Minimize the Decoherence Caused by Black Holes
• Testing the Braneworld Theory with Identical Particles