DOI: 10.1016/j.scib.2020.03.037
论文题名: Towards quantum simulation of Sachdev-Ye-Kitaev model
作者: Cao Y. ; Zhou Y.-N. ; Shi T.-T. ; Zhang W.
刊名: Science Bulletin
ISSN: 20959273
出版年: 2020
卷: 65, 期: 14 起始页码: 1170
结束页码: 1176
语种: 英语
中文关键词: Gaussian orthogonal ensemble
; Ground-state entanglement
; Out-of-time-order correlation
; Sachdev-Ye-Kitaev model
英文关键词: Ground state
; Quantum chemistry
; Quantum entanglement
; Exact diagonalization
; Ground-state entanglement
; Interaction strength
; Level distribution
; Physical quantities
; Quantum phase transitions
; Quantum simulations
; Thermodynamic entropy
; Phase transitions
英文摘要: 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. © 2020 Science China Press Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/169852
Appears in Collections: 气候变化与战略
There are no files associated with this item.
作者单位: School of Physics, Beijing Institute of Technology, Beijing, 100081, China; Department of Physics, Renmin University of China, Beijing, 100872, China; Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing, 100872, China
Recommended Citation:
Cao Y.,Zhou Y.-N.,Shi T.-T.,et al. Towards quantum simulation of Sachdev-Ye-Kitaev model[J]. Science Bulletin,2020-01-01,65(14)