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We investigate the meson excitations (particle-antiparticle bound states) in quantum many-body scars of a 1D Z₂ lattice gauge theory coupled to a dynamical spin-12 chain as a matter field. By introducing a string representation of the physical Hilbert space, we express a scar state |₍, ₋⟩ as a superposition of all string bases with an identical string number n and a total length l. For the small-l scar state |₍, ₋⟩, the gauge-invariant spin exchange correlation function of the matter field hosts an exponential decay as the distance increases, indicating the existence of stable mesons. However, for large l, the correlation function exhibits a power-law decay, signaling the emergence of nonmesonic excitations. Furthermore, we show that this mesonic-nonmesonic crossover can be detected by the quench dynamics, starting from two low-entangled initial states, respectively, which are experimentally feasible in quantum simulators. Our results expand the physics of quantum many-body scars in lattice gauge theories and reveal that the nonmesonic state can also manifest ergodicity breaking.
Ge et al. (Fri,) studied this question.