Optimal route to quantum chaos in the Bose-Hubbard model
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929628092825600 |
|---|---|
| author | Pausch, Lukas Buchleitner, Andreas Carnio, Edoardo G. Rodríguez, Alberto |
| author_facet | Pausch, Lukas Buchleitner, Andreas Carnio, Edoardo G. Rodríguez, Alberto |
| contents | The dependence of the chaotic phase of the Bose-Hubbard Hamiltonian on particle number $N$, system size $L$ and particle density is investigated in terms of spectral and eigenstate features. We analyze the development of the chaotic phase as the limit of infinite Hilbert space dimension is approached along different directions, and show that the fastest route to chaos is the path at fixed density $n \lesssim 1$. The limit $N \to \infty$ at constant $L$ leads to a slower convergence of the chaotic phase towards the random matrix theory benchmarks. In this case, from the distribution of the eigenstate generalized fractal dimensions, the ergodic phase becomes more distinguishable from random matrix theory for larger $N$, in a similar way as along trajectories at fixed density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_04209 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Optimal route to quantum chaos in the Bose-Hubbard model Pausch, Lukas Buchleitner, Andreas Carnio, Edoardo G. Rodríguez, Alberto Quantum Physics The dependence of the chaotic phase of the Bose-Hubbard Hamiltonian on particle number $N$, system size $L$ and particle density is investigated in terms of spectral and eigenstate features. We analyze the development of the chaotic phase as the limit of infinite Hilbert space dimension is approached along different directions, and show that the fastest route to chaos is the path at fixed density $n \lesssim 1$. The limit $N \to \infty$ at constant $L$ leads to a slower convergence of the chaotic phase towards the random matrix theory benchmarks. In this case, from the distribution of the eigenstate generalized fractal dimensions, the ergodic phase becomes more distinguishable from random matrix theory for larger $N$, in a similar way as along trajectories at fixed density. |
| title | Optimal route to quantum chaos in the Bose-Hubbard model |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2205.04209 |