大自旋池玻色子模型的截断Wigner近似
Truncated Wigner approximation for the bosonic model of large spin baths
摘要:
中心自旋模型具有广泛的适用性,它理想地适合于描述与自旋浴接触的小量子系统,例如量子比特,例如,核自旋,或者其他的小量子系统。根据以前的工作~[Röhrig \textit{et al.},Phys. Rev. B { \bf 97},165431(2018)],量子自旋的大浴可以描述为量子谐振子的浴。但由此产生的量子模型仍然远远不能简单地解决。因此,我们考虑一个链表示的玻色子自由度研究如何截断维格纳近似的有效模型的谐振子工程相比,与其他近似和精确的方法。在数值上,我们研究了浴旋转的数量和截断水平的影响,即,链条长度
英文摘要:
The central spin model has a wide applicability, it is ideally suited to describe a small quantum system, for instance a quantum bit, in contact to a bath of spins, e.g., nuclear spins, or other small quantum systems in general. According to previous work~[Röhrig \textit{et al.}, Phys. Rev. B {\bf 97}, 165431 (2018)], a large bath of quantum spins can be described as a bath of quantum harmonic oscillators. But the resulting quantum model is still far from being straightforward solvable. Hence we consider a chain representation for the bosonic degrees of freedom to study how well a truncated Wigner approximation of the effective model of harmonic oscillators works in comparison with other approximate and exact methods. Numerically, we examine the effect of the number of bath spins and of the truncation level, i.e., the chain length.
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