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README.rst

Theoretical and Numerical Study of Models of Entanglement for Neutrons

Part III project submitted as part of the Experimental and Theoretical Physics course of the Natural Sciences Tripos at the University of Cambridge.

Abstract

We propose and investigate a scheme for detecting gravitational waves using the entanglement generated by the dynamics of a pair of neutrons trapped in a harmonic well. We develop a model that combines the effects due to plane gravitational wave solutions of the linearised field equations in the weak-field limit of general relativity with the time-dependent Schrödinger equation. Numerical simulations show that entanglement amplifies the effect of high frequency gravitational waves on the quantum state. In the proposed experiment, for realistic wave amplitudes and frequencies, the final state is practically indistinguishable from one unaffected by gravitational radiation. However, the results also show that quantum entanglement could be used in the future for high frequency gravitational wave detection.

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