41 lines
1.9 KiB
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41 lines
1.9 KiB
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Theoretical and Numerical Study of Models of Entanglement for Neutrons
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======================================================================
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Part III project submitted as part of the Experimental and Theoretical
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Physics course of the Natural Sciences Tripos at the University of
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Cambridge.
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Abstract
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--------
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We propose and investigate a scheme for detecting gravitational waves
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using the entanglement generated by the dynamics of a pair of neutrons
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trapped in a harmonic well. We develop a model that combines the
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effects due to plane gravitational wave solutions of the linearised
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field equations in the weak-field limit of general relativity with the
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time-dependent Schrödinger equation. Numerical simulations show that
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entanglement amplifies the effect of high frequency gravitational
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waves on the quantum state. In the proposed experiment, for realistic
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wave amplitudes and frequencies, the final state is practically
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indistinguishable from one unaffected by gravitational
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radiation. However, the results also show that quantum entanglement
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could be used in the future for high frequency gravitational wave
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detection.
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Download
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--------
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You can obtain the final PDF version from https://wojciechkozlowski.eu/dphil/files/msci_thesis.pdf
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You can obtain the source files by either:
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- cloning the git repository with ``git clone https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis.git``
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- downloading them as a zip archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.zip?ref=master
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- downloading them as a tar.gz archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.tar.gz?ref=master
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- downloading them as a tar.bz2 archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.tar.bz2?ref=master
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- downloading them as a tar archive from https://gitlab.wojciechkozlowski.eu/wojtek/msci-thesis/repository/archive.tar?ref=master
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