arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1310.0964quant-phcond-mat.other
收藏

一维受驱动耗散横场XY模型中的量子关联

Quantum correlations in the 1-D driven dissipative transverse field XY model

Chaitanya Joshi, Felix Nissen, Jonathan Keeling

摘要:

我们研究了一维受驱动耗散系统在临界点附近的非平衡定态,并探讨了量子关联与已知的基态临界行为的比较。我们研究的模型对应于一个在双光子共振下参数驱动的腔阵列,在旋转坐标系中等价于一个横向场各向异性XY模型[C。E. Bardyn和A. ImamoLulu,Phys. Rev. Lett { \bf 109} 253606(2012)]。根据横场的符号,开放系统的定态可以与基态有关,也可以与最大能态有关。在这两种情况下,纠缠的许多性质类似于基态,虽然没有临界行为发生。随着从伊辛极限到各向同性XY极限的变化,纠缠范围增大。然而,NESS的各向同性极限是奇异的,同时发散的范围和消失的纠缠幅度。这种奇异的极限行为与基态行为截然不同,但可以在自旋波理论中解析地理解。

英文摘要:

We study the non-equilibrium steady state (NESS) of a driven dissipative one-dimensional system near a critical point, and explore how the quantum correlations compare to the known critical behavior in the ground state. The model we study corresponds to a cavity array driven parametrically at a two photon resonance, equivalent in a rotating frame to a transverse field anisotropic XY model [C. E. Bardyn and A. Imamoğlu, Phys. Rev. Lett {\bf 109} 253606 (2012)]. Depending on the sign of transverse field, the steady state of the open system can be either related to the ground state or to the maximum energy state. In both cases, many properties of the entanglement are similar to the ground state, although no critical behavior occurs. As one varies from the Ising limit to the isotropic XY limit, entanglement range grows. The isotropic limit of the NESS is however singular, with simultaneously diverging range and vanishing magnitude of entanglement. This singular limiting behavior is quite distinct from the ground state behavior, it can however be understood analytically within spin-wave theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑