Dynamics of one-dimensional random quantum XY system with Dzyaloshinskii–Moriya interaction

In this paper, the effects of random variables on the dynamics of the s=1/2 XY model with the Dzyaloshinskii-Moriya interaction are studied. By means of the recurrence relation method in the high-temperature limit, we calculate the spin autocorrelation functions as well as the corresponding spectral densities for the cases that the exchange couplings between spins or external magnetic fields satisfy the double-Gaussian distribution. It is found that when the standard deviation of random exchange coupling δ_j (or the standard deviation of random external field δ_B) is small, the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one. However, when δ_J (or δ_B) is large, the crossover vanishes, and the system shows a central-peak behavior or the most disordered one. We also analyze the cases in which the exchange couplings or the external fields satisfy the bimodal and the Gaussian distributions. Our results show that for all the cases considered, the dynamics of the above system is similar to that of the one-dimensional random XY model.     

准一维混合自旋(1/2,5/2)Ising-XXZ模型的量子相干和互信息

准一维混合自旋(1/2, 5/2) Ising-XXZ模型可以用来研究一些材料(如异质三金属化合物Fe-Mn-Cu)的磁性质,该研究也有助于这类材料在量子信息等领域的应用.本文利用转移矩阵法计算了该模型的量子相干和互信息,讨论了Ising作用、温度和磁场对其的影响.结果表明,在极低温度下随Ising作用的增强量子相干逐渐减小,而互信息在各向同性系统中存在一个极小值,在各向异性系统(?=4)中存在多个极小值.进一步研究发现,量子相干和互信息在量子临界点存在突变,其一阶导数在该点存在奇异行为.还研究了有限温度下的量子相干和互信息,当磁场较弱时,两者随温度的升高单调减小;当磁场较强时,热涨落与磁场的竞争使得两者随温度的升高先增大后减小.相比于量子互信息,量子相干存在于更大的磁场和温度范围内,有利于在实验中对其进行调控.