论文标题
用双链玻色式模型模拟1D横向iSing模型的动态量子相变
Simulation of Dynamical Quantum Phase Transition of the 1D Transverse Ising Model with a Double-chain Bose-Hubbard model
论文作者
论文摘要
我们在每个单元的单位填充物上提出了一个无旋转的玻色式模型。该模型的子空间可以通过与二阶扰动理论的互相互作用来忠实地映射到1D横向ISING模型。在有效的参数区域，数值结果显示了这两个模型在能量谱和相关函数上的良好一致性。我们表明，可以模拟有效的1D横向ISIN模型的动力学量子相变。通过精心设计的程序，用于从Mott绝缘体中产生1D横向ISING模型的动力学量子相变，因此复发概率向基层歧管的速率函数显示出与理论预测的周期时间点相同的非分析性。我们的结果可能会提供一些灵感，以模拟具有超偏移相互作用的1D横向ISIS模型，并在实验中探索其动力学量子相变。
We propose a spinless Bose-Hubbard model in an one-dimensional (1D) double-chain tilted lattice at unit filling per cell. A subspace of this model can be faithfully mapped to the 1D transverse Ising model through superexchange interaction with second-order perturbation theory. At a valid parameter region, numerical results show good agreement of these two models both on energy spectrums and correlation functions. And we show that the dynamical quantum phase transition of the effective 1D transverse Ising model can be simulated. With carefully designed procedures for producing the dynamical quantum phase transition of the 1D transverse Ising model from a Mott insulator, the rate function of the recurrence probability to the ground-state manifold shows the same nonanalyticality at periodic time points as theory predicts. Our results may give some inspirations on simulating 1D transverse Ising model with superexchange interaction and exploring its dynamical quantum phase transition in experiment.
