Eigenstate plateau transition and equilibration in 1D quantum lattice models
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929603093725184 |
|---|---|
| author | Li, Wei-Han Saberi, Abbas Ali |
| author_facet | Li, Wei-Han Saberi, Abbas Ali |
| contents | We report on a remarkable spectral phenomenon in a generic type of quantum lattice gas model. As the interaction strength increases, eigenstates spontaneously reorganize and lead to plateaus of the interaction energy, with gaps opening akin to continuous phase transitions. Perturbation theory identifies a hidden structure underlying eigenstates within each plateau, resulting in a statistical shift in the wavefunction amplitudes described by extreme value theory. The structured eigenstates manifest themselves naturally in far-from-equilibrium dynamics proceeding through multiple universal stages. Our findings reveal a profound connection between emergent properties in high-energy states and out-of-equilibrium dynamics, providing insights into the impact of interactions across the entire energy spectrum. The results are directly relevant to experiments probing equilibration in quantum spin and lattice gases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07159 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eigenstate plateau transition and equilibration in 1D quantum lattice models Li, Wei-Han Saberi, Abbas Ali Statistical Mechanics Strongly Correlated Electrons We report on a remarkable spectral phenomenon in a generic type of quantum lattice gas model. As the interaction strength increases, eigenstates spontaneously reorganize and lead to plateaus of the interaction energy, with gaps opening akin to continuous phase transitions. Perturbation theory identifies a hidden structure underlying eigenstates within each plateau, resulting in a statistical shift in the wavefunction amplitudes described by extreme value theory. The structured eigenstates manifest themselves naturally in far-from-equilibrium dynamics proceeding through multiple universal stages. Our findings reveal a profound connection between emergent properties in high-energy states and out-of-equilibrium dynamics, providing insights into the impact of interactions across the entire energy spectrum. The results are directly relevant to experiments probing equilibration in quantum spin and lattice gases. |
| title | Eigenstate plateau transition and equilibration in 1D quantum lattice models |
| topic | Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.07159 |