We study the quantum Ising chain with boundary dephasing. By doubling the Hilbert space, the model is mapped to the Su-Schrieffer-Heeger model with imaginary chemical potential at the edges. We show analytically and numerically that the Liouvillian gap, i.e., the inverse relaxation time of the model, scales with the system size $ N $ as $ N^{-3} $.

中文翻译：

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具有边界移相的量子伊辛链

我们研究了边界相移的量子伊辛链。通过将 Hilbert 空间加倍，该模型被映射到 Su-Schrieffer-Heeger 模型，在边缘处具有假想化学势。我们从分析和数值上表明，Liouvillian 间隙，即模型的逆弛豫时间，随着系统大小 $ N $ 缩放为 $ N^{-3} $。