Article ; Online: Towards quantum simulation of Sachdev-Ye-Kitaev model.
2020 Volume 65, Issue 14, Page(s) 1170–1176
Abstract: We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact ...
| Abstract | We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete values with a finite separation. A quantum phase transition from a chaotic state to an integrable state is observed by increasing the discrete separation. Below the critical value, the discrete model can well reproduce various physical quantities of the original SYK model, including the volume law of the ground-state entanglement, level distribution, thermodynamic entropy, and out-of-time-order correlation (OTOC) functions. For systems of size up to N=20, we find that the transition point increases with system size, indicating that a relatively weak randomness of interaction can stabilize the chaotic phase. Our findings significantly relax the stringent conditions for the realization of SYK model, and can reduce the complexity of various experimental proposals down to realistic ranges. |
|---|---|
| Language | English |
| Publishing date | 2020-03-27 |
| Publishing country | Netherlands |
| Document type | Journal Article |
| ZDB-ID | 2816140-3 |
| ISSN | 2095-9281 ; 2095-9273 |
| ISSN (online) | 2095-9281 |
| ISSN | 2095-9273 |
| DOI | 10.1016/j.scib.2020.03.037 |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
More links
Kategorien
Order via subito
This service is chargeable due to the Delivery terms set by subito. Orders including an article and supplementary material will be classified as separate orders. In these cases, fees will be demanded for each order.