玻色-哈伯德浴中的修饰磁子动力学：延迟、配对、纠缠与双磁子散射
Dressed magnon dynamics in a Bose-Hubbard bath: retardation, pairing, entanglement and two-magnon scattering
AI总结：
研究与可调玻色-哈伯德浴耦合的自旋-1/2 XX链的单、双磁子动力学，揭示浴可变形性是磁子输运、纠缠及配对的通用控制参数。
AI中文摘要：
我们研究与可调玻色-哈伯德浴耦合的自旋-1/2 XX链中的单磁子和双磁子动力学。XX哈密顿量输运磁子，而浴修饰其运动并介导有效吸引。单个磁子形成移动极化子，其延迟玻色云使其速度低于静态朗格-弗罗索夫预测，并产生磁子-玻色纠缠。在弱修饰、非共振移动区域，残余速度亏损和纠缠由云的激发权重决定，这可通过微扰理论和基于张量网络的实时模拟捕获。因此，输运提供了无需联合态重构的、经模型校准的纠缠代理。当两个云重叠时，浴介导有限范围吸引，产生紧凑双磁子束缚态的有限尺寸证据及散射后瞬态信号。在位浴相互作用抑制局域玻色子数涨落并增强浴响应，减少纠缠并削弱基态束缚。因此，浴可变形性成为磁子输运、纠缠及浴介导配对的通用控制参数。
英文摘要：
We study one- and two-magnon dynamics in a spin-$1/2$ XX chain coupled to a tunable Bose-Hubbard bath. The XX Hamiltonian transports the magnons, while the bath dresses their motion and mediates an effective attraction. A single magnon forms a mobile polaron whose retarded bosonic cloud reduces its velocity below the static Lang-Firsov prediction and generates magnon-boson entanglement. In the weak-dressing, off-resonant mobile regime, the residual velocity deficit and entanglement are governed by the excitation weight of the cloud, as captured by perturbation theory and tensor network-based real-time simulations. Transport therefore provides a model-calibrated proxy for entanglement without joint-state reconstruction. When two clouds overlap, the bath mediates a finite-range attraction, yielding finite-size evidence for a compact two-magnon bound state and a transient post-scattering signature. On-site bath interactions suppress local boson number fluctuations and stiffen the bath response, reducing entanglement and weakening ground-state binding. Bath deformability thus emerges as a common control parameter for magnon transport, entanglement, and bath-mediated pairing.
