论文标题
量子临界点的签名在非马克维亚性的见证人和旋转1/2链中的纠缠
Signature of the quantum critical point on the witness of the non-Markovianity and the entanglement in spin-1/2 chain
论文作者
论文摘要
考虑了具有XX和三旋相互作用（TSI）的自旋1/2颗粒的热力学极限链。使用效费技术，具有周期性边界条件的链的哈密顿量被完全对角线化。在链系统的地面相图中，量子临界点将Luttinger液体和手性相分开。选择一翼作为开放量子系统，其余的旋转起着其环境的作用。通过选择不同的初始状态，我们研究了开放量子系统及其环境之间纠缠的动态。在最初的状态下，开放量子系统的状态是向上和向下状态的叠加，环境是极化的。在整个相互作用范围内观察到纠缠的复兴是非马克维亚动力学的指标。我们的确切结果表明，非马克维亚行为与初始状态无关。通过调整初始状态，开放的量子系统将在一个特殊的时间与环境完全纠缠在一起，称为纠缠时间，te。提到的纠缠时间的价值通过增加TSI而降低。量子关键点的签名通过调查纠缠的长期平均水平并以痕量距离作为非马克维亚性的见证来确认。
A thermodynamic limit chain of spin-1/2 particles with XX and three-spin interactions (TSI) is considered. Using the fermionization technique, the Hamiltonian of the chain with periodic boundary conditions is exactly diagonalized. In the ground-state phase diagram of the chain system, a quantum critical point separates the Luttinger liquid and chiral phases. Selecting one-spin as an open quantum system, the rest of the spins play the role of its environment. By choosing different initial states, we studied the dynamics of the entanglement between the open quantum system and its environment. In the initial state, the state of the open quantum system is a superposition of up and down states and the environment is polarized. The revival of the entanglement is observed in the whole range of interactions as an indicator of non-Markovian dynamics. Our exact results revealed that non-Markovian behavior is independent of the initial state. By tuning the initial state, the open quantum system will be completely entangled with the environment at a special time called entanglement-time, tE. The value of the mentioned entanglement-time decreased by increasing TSI. The signature of a quantum critical point is confirmed by investigating the long-time average of the entanglement and using the trace-distance as a witness of non-Markovianity.
