发表机构
Universidade Estadual do Ceará; Universidade Federal do Ceará(塞阿拉州立大学; 塞阿拉联邦大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
研究一维偶极守恒玻色-哈伯德链中莫特背景的场致激发产生,提出偶极-反偶极对产生的动力学施温格机制,并揭示其谱权重抑制与共振位移。
AI 中文摘要
我们研究了由周期性二次势驱动的一维偶极守恒玻色-哈伯德链中,从单位填充的莫特背景产生的场致激发,实现了含时的二阶电场。与操控预先存在的偶极或分形激发的方案不同,我们处理的是从初始莫特态产生这些激发,而不需要预先制备偶极或分形激发。单个关联跳跃直接在原子能量3U处成核紧凑的|030⟩构型,而由2U导出的较低流形包含空间分辨的偶极-反偶极构型。精确对角化表明,有限跳跃将该较低流形转变为色散带,其有限链边缘显著低于紧凑的3U标度。尽管存在这个较低的能量边缘,其归一化的奇次谐波谱权重被微扰抑制为(J/U)^2,反映了初始和最终本征态的虚混合。对|1111⟩↔|0220⟩通道的一致二阶处理包括对角自能位移,并预测了由精确时间演化确认的弱场共振位移。扩展链动力学显示了真正的偶极-反偶极分离以及向更高能多体扇区的重新分布。所得机制提供了多光子动力学施温格产生的凝聚态类比,其中精确偶极守恒将可移动的相反电荷替换为可移动的相反偶极,而孤立的分形电荷保持不可移动。
英文摘要
We investigate field-induced excitation production from the unit-filled Mott background of a one-dimensional dipole-conserving Bose--Hubbard chain driven by a periodic quadratic potential, realizing a time-dependent rank-two electric field. Unlike protocols that manipulate pre-existing dipolar or fractonic excitations, we address their production from an initially Mott-like state without prepared dipolar or fractonic excitations. A single correlated hop directly nucleates the compact $|030\rangle$ configuration at the atomic energy $3U$, while a lower manifold derived from $2U$ contains spatially resolved dipole--antidipole configurations. Exact diagonalization shows that finite hopping turns this lower manifold into a dispersive band whose finite-chain edge lies substantially below the compact $3U$ scale. Despite this lower energetic edge, its normalized odd-harmonic spectral weight is perturbatively suppressed as $(J/U)^2$, reflecting virtual hybridization of the initial and final eigenstates. A consistent second-order treatment of the $|1111\rangle\leftrightarrow|0220\rangle$ channel includes diagonal self-energy shifts and predicts a weak-field resonance displacement confirmed by exact time evolution. Extended-chain dynamics shows genuine dipole--antidipole separation together with redistribution into higher-energy many-body sectors. The resulting mechanism provides a condensed-matter analogue of multiphoton dynamical Schwinger production in which exact dipole conservation replaces mobile opposite charges by mobile opposite dipoles, while isolated fractonic charges remain immobile.
Comments17 pages. 5 figures