自旋-玻色子系统中的避免交叉：对绝热态制备的影响
Avoided crossings in spin-boson systems: consequences for adiabatic state preparation
- University of Jyväskylä（于韦斯屈莱大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究自旋-玻色子系统中避免交叉对绝热态制备的影响，通过精确对角化和时间模拟揭示小能级间距区域对制备时间的约束，并为量子模拟提供基准。
AI中文摘要：
在相互作用的量子系统中，关联多体谱中的避免交叉在决定绝热态制备的条件方面起着核心作用。我们在有限的自旋-玻色子系统中研究了这一联系，通过将多体谱的精确对角化与绝热切换协议的时间依赖模拟相结合。通过将绝热制备的状态与精确基态进行比较，我们确定了作为自旋-玻色子耦合强度和玻色子模式结构函数的可靠制备所需的切换时间。我们表明，与避免交叉相关的小多体能级间距区域对绝热制备施加了最强的约束，并解释了所需切换时间对相互作用强度的观察依赖性。此外，虽然基态能量遵循整体谱趋势，但局部可观测量（如泡利矩阵期望值）表现出额外的非单调行为，这些行为源于有限系统中的相干振荡。这些发现可以为开放量子系统的理论处理以及量子模拟和量子比特控制中的实际实现提供具体基准。
英文摘要：
Avoided crossings in the correlated many-body spectrum play a central role in determining the conditions for adiabatic state preparation in interacting quantum systems. We investigate this connection in finite spin-boson systems by combining exact diagonalization of the many-body spectrum with time-dependent simulations of adiabatic switching protocols. By comparing the adiabatically prepared state with the exact ground state, we determine the switching times required for reliable preparation as a function of the spin-boson coupling strength and bosonic mode structure. We show that regions of small many-body level spacings, associated with avoided crossings, impose the strongest constraints on adiabatic preparation and explain the observed dependence of the required switching times on the interaction strength. Furthermore, while the ground-state energy follows the overall spectral trends, local observables such as Pauli matrix expectation values exhibit additional non-monotonic behavior arising from coherent oscillations in finite systems. These findings can provide concrete benchmarks for both the theoretical treatment of open quantum systems and practical implementations in quantum simulation and qubit control.
