The chirality-controlled two-mode Lipkin–Meshkov–Glick (LMG) models are mimicked in a potential hybrid quantum system, involving two ensembles of solid-state spins coupled to a pair of interconnected surface-acoustic-wave cavities. With the assistance of dichromatic classical optical drives featuring chiral designs, it can simulate two-mode LMG-type long-range spin-spin interactions with left-right asymmetry. For applications, this unconventional LMG model can not only engineer both ensembles of collective spins into two-mode spin-squeezed states but also simulate novel quantum critical phenomena and time crystal behaviors, among others. Since this acoustic-based system can generate ion-trap-like interactions without requiring any additional trapping techniques, our work is considered a fresh attempt at realizing chiral quantum manipulation of spin-spin interactions using acoustic hybrid systems.

中文翻译：

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通过声学实现手性双模 Lipkin-Meshkov-Glick 模型


手性控制的双模 Lipkin-Meshkov-Glick (LMG) 模型在潜在的混合量子系统中被模仿，涉及耦合到一对互连的表面声波腔的两个固态自旋系综。借助具有手性设计的二色经典光驱，它可以模拟左右不对称的双模LMG型长程自旋-自旋相互作用。对于应用来说，这种非常规的 LMG 模型不仅可以将集体自旋的集合设计成双模自旋压缩态，还可以模拟新颖的量子临界现象和时间晶体行为等。由于这种基于声学的系统可以产生类似离子陷阱的相互作用，而不需要任何额外的捕获技术，因此我们的工作被认为是使用声学混合系统实现自旋-自旋相互作用的手性量子操纵的新尝试。