Realization of chiral two-mode Lipkin-Meshkov-Glick models via acoustics

Abstract The \emph{chirality-controlled two-mode Lipkin-Meshkov-Glick (LMG) models} are mimicked in a potential hybrid quantum system,
with respect to two ensembles of solid-state spins coupled to a pair of interconnected surface-acoustic-wave (SAW) cavities, respectively. Assisted by the dichromatic classical optical drives with chiral designs, this proposal can simulate the two-mode LMG type long-range spin-spin interactions with a left-right asymmetry. For applications, this unconventional LMG model can not only engineer both ensembles of collective spins into the two-mode spin-squeezed (TMSS) states, but also simulate the fresh quantum critical phenomenon and time-crystal behaviours, and so on. Because this acoustic-based system can give rise to ion-trap-like interactions without any additional trap technique in principle, it is believed that our work can be considered a fresh attempt at realizing the chiral quantum manipulation of spin-spin interactions by using acoustic hybrid systems.