标题： 一维Fröhlich极化子的束缚激发态 显示英文标题

标题： Bound excited states of Fröhlich polarons in one dimension

摘要： 描述单个电子与光学声子相互作用运动的一维Fröhlich模型是量子多体物理学的经典模型。 我们在强耦合极限下预测了任意多个束缚激发态的存在，并计算了它们的激发能。 离散化模型的数值模拟展示了在无穷希尔伯特空间中步行者湮灭完全改善投影蒙特卡罗符号问题。 它们揭示了在无量纲耦合常数为$\alpha \approx 1.73$时第一个束缚激发态出现的阈值。 这将阈值置于中间相互作用强度范围内。 我们计算了离散化模型中穿衣云的光谱权重和数密度。 显示英文摘要

摘要： The one-dimensional Fr\"ohlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited states in the strong coupling limit and calculate their excitation energies. Numerical simulations of a discretized model demonstrate the complete amelioration of the projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert space. They reveal the threshold for the occurrence of the first bound excited states at a value of $\alpha \approx 1.73$ for the dimensionless coupling constant. This puts the threshold into the regime of intermediate interaction strength. We calculate the spectral weight and the number density of the dressing cloud in the discretized model.