The Blume-Capel model is a chain of spin-one degrees of freedom. The model possesses a tricritical point, which is described by a unitary conformal field theory (CFT). Around the tricritical point i.e. in the scaling limit the model can be described by different relevant deformations of the CFT. Such deformations were recently studied and led to interesting phenomena, such as integrability, kink-confinement and false vacuum decay. 

 

The goal of the MSc thesis project is two-fold: i) Tune the parameters of the Blume-Capel model in the scaling limit and realize the various phenomena on the spin chain; ii) Extend the form-factor bootstrap program to branch point twist operators in integrable deformations of the CFT. The first could be relevant for experimental realization, while the second is necessary to study entanglement properties analytically in the field-theoretic context.

 

The project is a combination of numerical work based on matrix product states and analytical calculations using non-perturbative field theoretical methods.