We study the impact of non-Hermiticity on the molecule formation in a two-component spin-orbit-coupled Fermi gas near a wide Feshbach resonance. Under an experimentally feasible configuration where the two-photon Raman process is dissipative, the Raman-induced synthetic spin-orbit coupling acquires a complex strength. Remarkably, dissipation of the system facilitates the formation and binding of molecules, which, despite their dissipative nature and finite life time, exist over a wider parameter regime than in the corresponding Hermitian system. These dissipation-facilitated molecules can be probed by the inverse radio-frequency (r.f.) spectroscopy, provided the Raman lasers are blue-detuned to the excited state. The effects of dissipation manifest in the r.f. spectra as shifted peaks with broadened widths, which serve as a clear experimental signature. Our results, readily observable in current cold-atom experiments, shed light on the fascinating interplay of non-Hermiticity and interaction in few- and many-body open quantum systems.

中文翻译：

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具有非赫米特自旋轨道耦合的费米气体中的耗散促进分子

我们研究了非费米性对在宽Feshbach共振附近的两组分自旋耦合的费米气体中分子形成的影响。在耗散两光子拉曼过程的实验可行配置下，拉曼诱导的合成自旋轨道耦合获得了复杂的强度。值得注意的是，系统的耗散促进了分子的形成和结合，尽管其具有耗散性和有限的使用寿命，但它们的参数范围却比相应的埃尔米特系统更广泛。如果拉曼激光被蓝调至激发态，则可以通过反射频（rf）光谱探测这些促进耗散的分子。耗散的影响在射频频谱中显示为宽度变宽的移动峰，作为明确的实验签名。我们的结果，在当前的冷原子实验中很容易观察到，阐明了在少数多体开放量子系统中非费米特性和相互作用的引人入胜的相互作用。