涌现流体动力学响应与动力学反作用：Bose-Hubbard流体中的磁子束缚态传播
Emergent hydrodynamic response and dynamical backreaction: Magnon bound-state propagation in a Bose-Hubbard fluid
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中文总结 AI 辅助
该研究针对一维Bose-Hubbard介质，通过推导长波流体动力学描述结合MPS模拟，揭示了磁子束缚态传播的流体动力学响应与动力学反作用，明确了流体动力学的定量适用范围。
中文摘要 AI 辅助
我们研究一维Bose-Hubbard介质对沿吸引XXZ链传播的两磁子束缚态的非平衡响应。Holstein型位移耦合使磁子密度同时作为局域化学势扰动和玻色子源。我们推导了密度与相位涨落的长波流体动力学描述，并通过全耦合动力学的矩阵乘积态（matrix-product-state, MPS）模拟对其进行检验。该理论预言了随动近场形变与局限于声锥内的 retarded 密度波：在莫特（Mott）区，形变保持局域在运动的两粒子周围；在可压缩区，两个反向传播的前沿分离并趋近于半经典声速，该声速由平衡密度导出且无拟合参数。耦合还诱导动力学反作用，使束缚态减速并展宽其磁子密度分布。该对比明确了当探针反作用于介质时，流体动力学仍保持定量描述的适用范围。
英文摘要
We study the nonequilibrium response of a one-dimensional Bose-Hubbard medium to a two-magnon bound state propagating along an attractive XXZ chain. A Holstein-type displacement coupling makes the magnon density act both as a local chemical-potential perturbation and as a source of bosons. We derive a long-wavelength hydrodynamic description of the density and phase fluctuations and test it against matrix-product-state simulations of the full coupled dynamics. The theory predicts a comoving near-field deformation together with retarded density waves confined to a sound cone. In the Mott regime, the deformation remains localized around the moving pair. In the compressible regime, two counterpropagating fronts detach and approach the semiclassical sound velocity, recovered from the equilibrium density with no fitted parameters. The coupling also induces a dynamical backreaction that slows the bound state and broadens its magnon-density profile. The comparison delimits where hydrodynamics stays quantitative once the probe reacts back on the medium.
发表机构
- Qilimanjaro Quantum Tech（基利马贾罗量子技术）
- Universitat de Barcelona（巴塞罗那大学）
- CERN（欧洲核子研究中心）
机构由 AI 辅助整理，请以论文原文为准。
