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.
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.
You can obtain the final PDF version from https://wojciechkozlowski.eu/dphil/files/msci_thesis.pdf
You can obtain the source files by either:
- cloning the git repository with
git clone https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis.git
- downloading them as a zip archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.zip?ref=master
- downloading them as a tar.gz archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.tar.gz?ref=master
- downloading them as a tar.bz2 archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.tar.bz2?ref=master
- downloading them as a tar archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.tar?ref=master