Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2211.09204 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916077142802432 |
|---|---|
| author | Ramos, Flávia B. Urichuk, Andrew Schneider, Imke Sirker, Jesko |
| author_facet | Ramos, Flávia B. Urichuk, Andrew Schneider, Imke Sirker, Jesko |
| contents | We investigate the relaxation dynamics of equal-time correlations in the antiferromagnetic phase of the XXZ spin-1/2 chain following a global quantum quench of the anisotropy parameter. We focus, in particular, on the relaxation dynamics starting from an initial Néel state. Using state-of-the-art density-matrix renormalization group simulations, the exact solution of an effective free-fermion model, and the quench-action approach within the thermodynamic Bethe ansatz, we show that the late-time relaxation is characterized by a power-law decay $\sim t^{-3/2}$ independent of anisotropy. This is in contrast to the previously studied exponential decay of the antiferromagnetic order parameter. Remarkably, the effective model describes the numerical data extremely well even on a quantitative level if higher order corrections to the leading asymptotic behavior are taken into account. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_09204 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Power-law decay of correlations after a global quench in the massive XXZ chain Ramos, Flávia B. Urichuk, Andrew Schneider, Imke Sirker, Jesko Strongly Correlated Electrons We investigate the relaxation dynamics of equal-time correlations in the antiferromagnetic phase of the XXZ spin-1/2 chain following a global quantum quench of the anisotropy parameter. We focus, in particular, on the relaxation dynamics starting from an initial Néel state. Using state-of-the-art density-matrix renormalization group simulations, the exact solution of an effective free-fermion model, and the quench-action approach within the thermodynamic Bethe ansatz, we show that the late-time relaxation is characterized by a power-law decay $\sim t^{-3/2}$ independent of anisotropy. This is in contrast to the previously studied exponential decay of the antiferromagnetic order parameter. Remarkably, the effective model describes the numerical data extremely well even on a quantitative level if higher order corrections to the leading asymptotic behavior are taken into account. |
| title | Power-law decay of correlations after a global quench in the massive XXZ chain |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2211.09204 |