论文标题
（伪）相对论多体系统的量子相变的经典，半经典和量子特征
Classical, semiclassical and quantum signatures of quantum phase transitions in a (pseudo) relativistic many-body system
论文作者
论文摘要
我们确定了一个（伪）相对论自旋依赖性的类似物的类似物，该类似物是由有吸引力的一维骨气气体中明亮的孤子形成驱动的。在这种新情况下，由于线性分散体的同时存在和系统的骨气性，必须特别注意进行过渡的能量区域。尽管如此，由于尺度的至关重要的绝热分离，并通过广泛的数值对角线化确定，发现了一个描述过渡的合适有效模型。与广泛的数值模拟相比，基于此有效模型的相应平均场分析为量子相变的位置提供了准确的预测。此外，我们从数值上研究了从有限大小的前体到热力学极限中尖锐的量子相变的方法的动力指数。
We identify a (pseudo) relativistic spin-dependent analogue of the celebrated quantum phase transition driven by the formation of a bright soliton in attractive one-dimensional bosonic gases. In this new scenario, due to the simultaneous existence of the linear dispersion and the bosonic nature of the system, special care must be taken with the choice of energy region where the transition takes place. Still, due to a crucial adiabatic separation of scales, and identified through extensive numerical diagonalization, a suitable effective model describing the transition is found. The corresponding mean-field analysis based on this effective model provides accurate predictions for the location of the quantum phase transition when compared against extensive numerical simulations. Furthermore, we numerically investigate the dynamical exponents characterizing the approach from its finite-size precursors to the sharp quantum phase transition in the thermodynamic limit.
