Entanglement Entropy in a Finite Transverse Field Ising Chain
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Honours Program Thesis
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Abstract
One of the exciting new phenomena that have risen from quantum mechanics is quantum
entanglement. In this paper we study the basic mathematical properties of an entangled
state as well as its entanglement entropy. These concepts together with the formalism of
second quantization will be studied with respect to finite one-dimensional transverse field
Ising models.
Keywords
quantum;entanglement;entanglement entropy;transverse field ising model; second quantization; jordan wigner transformation; bogoliubov; bogoliubov transformation;