Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929456403185664 |
|---|---|
| author | Robertson, Jacob H. Senese, Riccardo Essler, Fabian H. L. |
| author_facet | Robertson, Jacob H. Senese, Riccardo Essler, Fabian H. L. |
| contents | The presence of long-lived oscillations in the expectation values of local observables after quantum quenches has recently attracted considerable attention in relation to weak ergodicity breaking. Here we focus on an alternative mechanism that gives rise to such oscillations in a class of systems that support kinematically protected gapped excitations at zero temperature. An open question in this context is whether such oscillations will ultimately decay. We resolve this issue by considering spin models that can be mapped to systems of weakly interacting fermions, which in turn are amenable to an analysis by standard methods based on the BBGKY hierarchy. We find that there is a time scale beyond which the oscillations start to decay, which grows as the strength of the quench is made small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04466 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems Robertson, Jacob H. Senese, Riccardo Essler, Fabian H. L. Statistical Mechanics The presence of long-lived oscillations in the expectation values of local observables after quantum quenches has recently attracted considerable attention in relation to weak ergodicity breaking. Here we focus on an alternative mechanism that gives rise to such oscillations in a class of systems that support kinematically protected gapped excitations at zero temperature. An open question in this context is whether such oscillations will ultimately decay. We resolve this issue by considering spin models that can be mapped to systems of weakly interacting fermions, which in turn are amenable to an analysis by standard methods based on the BBGKY hierarchy. We find that there is a time scale beyond which the oscillations start to decay, which grows as the strength of the quench is made small. |
| title | Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2307.04466 |