SUMMARY
The discussion centers on the ground state wave function of the XXZ model in one dimension with an external field. It establishes that while the ground state wave function of the XY model can be expressed simply due to its equivalence to free fermions, the XXZ model does not share this property. Instead, the eigenfunctions of the XXZ model are derived from the Bethe ansatz. However, the specific form of the ground state wave function for the XXZ model under an external field remains undetermined.
PREREQUISITES
- Understanding of the XXZ model in quantum mechanics
- Familiarity with Bethe ansatz techniques
- Knowledge of the XY model and its properties
- Basic concepts of quantum field theory
NEXT STEPS
- Research the Bethe ansatz solutions for the XXZ model
- Explore the implications of external fields on quantum models
- Study the ground state properties of the XY model in detail
- Investigate the relationship between free fermions and quantum spin chains
USEFUL FOR
Physicists, particularly those specializing in quantum mechanics and condensed matter physics, as well as researchers interested in quantum spin systems and their ground state properties.