论文标题
表征量子关键性并在XY-GAMMA链中转向连贯性
Characterizing quantum criticality and steered coherence in the XY-Gamma chain
论文作者
论文摘要
在本文中，我们表明，具有各种类型耦合的有效自旋汉密尔顿人可以使用原子分子 - 光学实验室中的量子模拟器进行设计，该实验室被称为\ emph {xy} -gamma模型。我们通过分析求解与Jordan-Wigner转换的一维短距离相互作用情况并建立相图。在无间隙阶段，矢量与手续的相关性表现出不相差的螺旋顺序。在不同的间隙阶段之间，对于量子临界点，确定了局部测量的对数缩放率行为，包括自旋相关性和转向量子相干性，从而产生了相关长度临界指数的令人信服的值。我们在量子临界点附近得出了激发差距的显式缩放形式。提取的临界指数揭示了Tomonaga-Luttinger液体边界上的量子相变属于Lifshitz通用类别。
In this paper, we show that an effective spin Hamiltonian with various types of couplings can be engineered using quantum simulators in atomic-molecular-optical laboratories, dubbed the \emph{XY}-Gamma model. We analytically solve the one-dimensional short-range interacting case with the Jordan-Wigner transformation and establish the phase diagram. In the gapless phase, an incommensurate spiral order is manifested by the vector-chiral correlations. Between distinct gapped phases, a logarithmic scaling behavior of local measures, including spin correlations and the steered quantum coherence, is identified for the quantum critical points, yielding a compelling value of the correlation-length critical exponent. We derive explicit scaling forms of the excitation gap near the quantum critical points. The extracted critical exponents reveal the quantum phase transition on the boundary of Tomonaga-Luttinger liquid belongs to Lifshitz universality class.Our results may provide useful insights into the underlying mechanism in quantum criticality for state-of-the-art experiments of quantum simulation.
