Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.17866 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913478377209856 |
|---|---|
| author | Larson, Jonas |
| author_facet | Larson, Jonas |
| contents | In this paper, we analyze the harmonically driven Jaynes-Cummings and Lipkin-Meshkov-Glick models using both numerical integration of time-dependent Hamiltonians and Floquet theory. For a separation of time-scales between the drive and intrinsic Rabi oscillations in the former model, the driving results in an effective periodic reversal of time. The corresponding Floquet Hamiltonian is a Wannier-Stark model, which can be analytically solved. Despite the chaotic nature of the driven Lipkin-Meshkov-Glick model, moderate system sizes can display qualitatively different behaviors under varying system parameters. Ergodicity arises in systems that are neither adiabatic nor diabatic, owing to repeated multi-level Landau-Zener transitions. Chaotic behavior, observed in slow driving, manifests as random jumps in the magnetization, suggesting potential utility as a random number generator. Furthermore, we discuss both models in terms of what we call Floquet Fock state lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Floquet analysis perspective of driven light-matter interaction models Larson, Jonas Quantum Physics In this paper, we analyze the harmonically driven Jaynes-Cummings and Lipkin-Meshkov-Glick models using both numerical integration of time-dependent Hamiltonians and Floquet theory. For a separation of time-scales between the drive and intrinsic Rabi oscillations in the former model, the driving results in an effective periodic reversal of time. The corresponding Floquet Hamiltonian is a Wannier-Stark model, which can be analytically solved. Despite the chaotic nature of the driven Lipkin-Meshkov-Glick model, moderate system sizes can display qualitatively different behaviors under varying system parameters. Ergodicity arises in systems that are neither adiabatic nor diabatic, owing to repeated multi-level Landau-Zener transitions. Chaotic behavior, observed in slow driving, manifests as random jumps in the magnetization, suggesting potential utility as a random number generator. Furthermore, we discuss both models in terms of what we call Floquet Fock state lattices. |
| title | A Floquet analysis perspective of driven light-matter interaction models |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.17866 |