Quantum entanglement in soliton fractionalisation process

Details Quantum entanglement in soliton fractionalisation process Quantum entanglement in soliton fractionalisation process

2009-11-16

arxiv.org/abs/0911.3030v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

This paper has been withdrawn by the author. A larger version with application to polyacetylene will appear soon

Scientific paper

Quantum state, in relativistic quantum mechanics, itself turns out to be an entangled state due to its own degrees freedom such as spin and momentum. This peculiar entanglement leaves the transformed state mixed. We consider the fractional charge state that arises in a theory of fermion interacting with scalar background in this context. The apparent entanglement occurs between fermion ans scalar through Yukawa-type interaction. However, the spontaneous symmetry breaking causes appearance of the $c$-number zero energy solution of the Dirac equation as a pure state. Quantum entanglement in such relativistic system is proposed to have a microscopic view of the spontaneous symmetry breaking which has been realised in condensed matter system like polyacetylene.

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