利用赝自旋映射研究量子谐振子中的上下文性的NMR
NMR investigation of contextuality in a quantum harmonic oscillator via pseudospin mapping
摘要：
物理势通常近似为调和势，以便解析地求解系统动力学。通常，了解量子谐振子（QHO）何时表现出量子力学行为以及何时表现出经典行为是很重要的。最近苏等。等人[Phys.Rev.A { \bf 85}，052126（2012）]已经在理论上表明，QHO对于某组赝自旋可观测量表现出量子上下文性（QC）。在这项工作中，我们编码的四个本征态的QHO到四个塞曼产品的一对自旋1/2核的状态。利用核磁共振量子信息处理技术，我们证明了在特定的实验安排下，非上下文隐变量模型所产生的状态依赖不等式的违反。我们还通过实验证明了原子核自旋的热平衡态违反了与态无关的不等式，从而评估了它们的量子性。
英文摘要：
Physical potentials are routinely approximated to harmonic potentials so as to analytically solve the system dynamics. Often it is important to know when a quantum harmonic oscillator (QHO) behaves quantum mechanically and when classically. Recently Su et. al. [Phys. Rev. A {\bf 85}, 052126 (2012)] have theoretically shown that QHO exhibits quantum contextuality (QC) for a certain set of pseudospin observables. In this work, we encode the four eigenstates of a QHO onto four Zeeman product states of a pair of spin-1/2 nuclei. Using the techniques of NMR quantum information processing, we then demonstrate the violation of a state-dependent inequality arising from the noncontextual hidden variable model, under specific experimental arrangements. We also experimentally demonstrate the violation of a state-independent inequality by thermal equilibrium states of nuclear spins, thereby assessing their quantumness.
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