Real space renormalization group algorithms: arbitrarily accurate systematic improvement methods
Thesis/Dissertation
·
OSTI ID:5328289
Quantum field theories can be approximated into quantum spin systems on lattices. The methods of the real space renormalization group, used to solve the Hamiltonians of such systems, are perfected here. The main model investigated is the Ising model with a transverse magnetic field, in one dimension. The model has an exact solution, against which will approximate calculations are checked for their accuracy. Combinations of block eigenstate truncation and variational renormalization group truncation achieve very high accuracy. With the confidence gained in these algorithms, fermionic, and more complicated field theories on lattices can be tackled.
- OSTI ID:
- 5328289
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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