Time-dependent ramps 的自由费米子链解析解
统计力学
2026-02-04 v2 量子物理
摘要
我们提供了对单个粒子薛定谔方程的精确解析解，适用于受时间依赖线性势驱动的非相互作用费米子链，其斜率随时间以任意函数形式变化。 resulting dynamics exhibit self-similar behavior, with a structure reminiscent of the domain wall melting problem, albeit characterized by a nontrivial time-dependent length scale and phase. Building on this solution, we derive hydrodynamic predictions for the evolution of particle density, current, and entanglement entropy along the chain. In the special case of a sudden quench, the system develops a breathing interface region, which may be interpreted as a realization of Wannier-Stark localization, as previously suggested on the basis of hydrodynamic arguments.
引用
@article{arxiv.2510.03112,
title = {Analytical solution of a free-fermion chain with time-dependent ramps},
author = {Viktor Eisler and Riccarda Bonsignori and Stefano Scopa},
journal= {arXiv preprint arXiv:2510.03112},
year = {2026}
}
备注
8 pages, 6 figures; v2:minor changes