Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.18953 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911935051595776 |
|---|---|
| author | Robles, D. S. Lohr Grether, M. Moreno, E. Lopez Hess, P. O. |
| author_facet | Robles, D. S. Lohr Grether, M. Moreno, E. Lopez Hess, P. O. |
| contents | We present a study of a general spin Hamiltonian with terms up to fourth order. With the coherent states the semiclassical potential is obtained and with catastrophe theory its parameter space is constructed. When the fourth order parameters are large enough the parameter space has regions where the semiclassical potential has three wells. By applying an oscillating magnetic field a trajectory in parameter space crosses the Maxwell set multiple times resulting in many ground state quantum phase transitions. Using the coherent states we are able to visualize the localization of the ground state on the Bloch sphere as the magnetic field is varied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18953 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin Hamiltonian with large fourth order terms: Triple well potentials and Bloch sphere visualization Robles, D. S. Lohr Grether, M. Moreno, E. Lopez Hess, P. O. Quantum Physics We present a study of a general spin Hamiltonian with terms up to fourth order. With the coherent states the semiclassical potential is obtained and with catastrophe theory its parameter space is constructed. When the fourth order parameters are large enough the parameter space has regions where the semiclassical potential has three wells. By applying an oscillating magnetic field a trajectory in parameter space crosses the Maxwell set multiple times resulting in many ground state quantum phase transitions. Using the coherent states we are able to visualize the localization of the ground state on the Bloch sphere as the magnetic field is varied. |
| title | Spin Hamiltonian with large fourth order terms: Triple well potentials and Bloch sphere visualization |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.18953 |