期刊
PHYSICAL REVIEW A
卷 84, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.84.043601
关键词
-
资金
- NSF (PFC) [PIF-0904017, DMR-0955707]
- AFOSR
- ARO (DARPA-OLE)
- NSF
- Division Of Physics
- Direct For Mathematical & Physical Scien [1125844] Funding Source: National Science Foundation
We investigate one-dimensional SU(N) Hubbard chains at zero temperature, which can be emulated with ultracold alkaline-earth-metal atoms, by using the density matrix renormalization group (DMRG), Bethe ansatz (BA), and bosonization. We compute experimental observables and use the DMRG to benchmark the accuracy of the Bethe ansatz for N > 2 where the BA is only approximate. In the worst case, we find a relative error epsilon less than or similar to 4% in the BA ground-state energy for N <= 4 at filling 1/N, which is due to the fact that BA improperly treats the triply and higher occupied states. Using the DMRG for N <= 4 and the BA for large N, we determine the regimes of validity of strong-and weak-coupling perturbation theory for all values of N and, in particular, the parameter range in which the system is well described by a SU(N) Heisenberg model at filling 1/N. We find this depends only weakly on N. We investigate the Berezinskii-Kosterlitz-Thouless phase transition from a Luttinger liquid to a Mott insulator by computing the fidelity susceptibility and the Luttinger parameter K-rho at 1/N filling. The numerical findings give strong evidence that the fidelity susceptibility develops a minimum at a critical interaction strength which is found to occur at a finite positive value for N > 2.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据