Toward reality of Jackiw-Teitelboim gravity in a three-component fermion chain

The Jackiw-Teitelboim (JT) gravity model, despite its theoretical significance in exploring quantum gravity, has remained largely a toy model due to the absence of a direct physical realization. This work proposes that a one-dimensional three-component fermion chain can serve as a concrete platform for realizing JT gravity. We demonstrate that through bosonization, two components of the fermion chain contribute to the curved spacetime structure, while the third component manifests as the dilaton field---a crucial element of JT gravity. We establish a direct correspondence between the bosonized fields and JT gravity's structural and dynamical equations, and show that this system exhibits a black hole solution with an event horizon corresponding to a phase transition in the spin degree of freedom. We also discuss the experimental feasibility of simulating this model using ultracold lithium atoms in optical lattices, opening up possibilities for exploring quantum gravity phenomena in a controlled laboratory setting.