Abstract
Two of us (Marletto and Vedral 2017 Phys. Rev. Lett. 119 240402) recently showed how the quantum character of a physical system, in particular the gravitational field, can in principle be witnessed without directly measuring observables of that system, solely by its ability to mediate entanglement between two other systems. Here we propose a variant of that scheme, where the entanglement is again generated via gravitational interaction, but now between two particles both at sharp locations (very close to each other) but each in a superposition of two different masses. We discuss an in principle example using two hypothetical massive, neutral, weakly-interacting particles generated in a superposition of different masses. The key property of such particles would be that, like neutrinos, they are affected only by weak nuclear interactions and gravity.
Highlights
We discuss an in principle example using two hypothetical massive, neutral, weakly-interacting particles generated in a superposition of different masses
Two recent schemes have been proposed extending this tradition [2, 3]. Their key innovation is to use the gravitational field as a mediator to produce entanglement between two masses, each prepared in a quantum superposition of two different locations
Any particle that is in a superposition of two non-degenerate eigenstates of its Hamiltonian is in a superposition of two different generalised masses
Summary
Any particle that is in a superposition of two non-degenerate eigenstates of its Hamiltonian is in a superposition of two different generalised masses. We propose a variant of that scheme, where the entanglement is again generated via gravitational interaction, but between two particles both at sharp locations (very close to each other) but each in a superposition of two different masses. We discuss an in principle example using two hypothetical massive, neutral, weakly-interacting particles generated in a superposition of different masses.
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