Physical Mathematics Seminar
Tuesday, April 06, 2021 at 2:30pm to 3:30pm
Virtual EventSPEAKER: Žiga Kos (MIT)
TITLE: Nematic Bits and Logic Gates
ABSTRACT:
Topological field structures in nematic liquid crystals are known to share phenomenological and mathematical analogies with superconducting quantum mater. While the experimental control of orientation and dynamics of nematic structures has been developed, little is known how such structures could be used for information storage and computation. We introduce nematic bits by using a quaternionic mapping from nematic defects to a Bloch sphere. By using electric fields, we show in theory and simulation how logic gates could be applied to nematic bits, analogous to Pauli, Hadamard and other logic gates. In ensembles of two nematic bits, we show strong and weak correlations, which depend on the choice of the measurement procedure and time scales involved. We also show a two nematic bit analogue to the Deutsch algorithm, exploring a pathway towards non-classical computational strategies in topological soft matter systems.
https://mit.zoom.us/j/95597721876
Meeting ID: 955 9772 1876
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