Chaos and ergodicity across the energy spectrum of interacting bosons
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913661289758720 |
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| author | Pausch, Lukas Carnio, Edoardo G. Rodríguez, Alberto Buchleitner, Andreas |
| author_facet | Pausch, Lukas Carnio, Edoardo G. Rodríguez, Alberto Buchleitner, Andreas |
| contents | We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The eigenvectors are shown to become ergodic in the thermodynamic limit, in the configuration space Fock basis, in which random matrix theory offers a remarkable description of their typical structure. The distributions of the generalized fractal dimensions, however, are ever more distinguishable from random matrix theory as the Hilbert space dimension grows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_05295 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Chaos and ergodicity across the energy spectrum of interacting bosons Pausch, Lukas Carnio, Edoardo G. Rodríguez, Alberto Buchleitner, Andreas Quantum Gases Quantum Physics We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The eigenvectors are shown to become ergodic in the thermodynamic limit, in the configuration space Fock basis, in which random matrix theory offers a remarkable description of their typical structure. The distributions of the generalized fractal dimensions, however, are ever more distinguishable from random matrix theory as the Hilbert space dimension grows. |
| title | Chaos and ergodicity across the energy spectrum of interacting bosons |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2009.05295 |