Applicability of coupling strength estimation for linear chains of restricted access<xref rid="cpb_29_3_030305fn1" ref-type="fn">*</xref><fn id="cpb_29_3_030305fn1"><label>*</label><p>Project supported by Shanghai Sailing Program, China (Grant No. 16YF1412600) and the National Natural Science Foundation of China (Grant Nos. 11420101003, 11604347, 11827806, 11874368, and 91636105).</p></fn>

Applicability of coupling strength estimation for linear chains of restricted access**

Project supported by Shanghai Sailing Program, China (Grant No. 16YF1412600) and the National Natural Science Foundation of China (Grant Nos. 11420101003, 11604347, 11827806, 11874368, and 91636105).

Feng He^{1, 2}, Yan Tian-Min^{1, †}, Jiang Yuhai^{1, 2, 3, ‡}

For a homogeneous linear chain of N = 100, panel (a) shows the spectral distribution C_{1, n} versus λ_n. The region below 10⁻¹ C_max, as indicated by the purple line in (a), is zoomed as shown in panel (b). Assuming the C_{1, n} can be resolved up to 10^{− 1} (purple), 10^{− 2} (green), and 10^{− 3} (red) of C_max, all the input data (λ_n, C_{1, n}) with C_{1, n} below the threshold are truncated. The corresponding estimated coupling strengths J′i,i+1 are shown in (c), (d), and (e), respectively, comparing with the original coupling strengths J_{i, i + 1}.