Abstract: If a quantum particle exists in a superposition state of being at two different spatial positions, can we also consider the gravitational field to be superposed? What does this mean in terms of the spacetime geometry? There is no way of answering these questions currently, as the answers can only be provided by experiments which we do not yet have. However, advances in experimental techniques have led to various proposals which propose to prepare masses in spatial superpositions. In this talk, I will make use of one of these proposals utilizing optomechanical techniques in achieving the superposition. I will study what the observable effects are if the answer to the first question were true. More specifically, I will demonstrate what the effects on the interference visibility (a quantity measurable from the experiment) are if we describe the interaction between two superposed masses using the canonical Schrodinger evolution. I will also show that this interaction leads to quantum entanglement between the two masses. This talk is based on the paper Phys. Rev. A 98, 043811 (2018), arXiv: 1806.06008.

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