Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory
| Autor: | Ge, Zi-Yong, Zhang, Yu-Ran, Nori, Franco |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett.132.230403 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.132.230403 |
| Popis: | We investigate the meson excitations (particle-antiparticle bound states) in quantum many-body scars of a 1D $\mathbb{Z}_2$ lattice gauge theory coupled to a dynamical spin-$\frac{1}{2}$ chain as a matter field. By introducing a string representation of the physical Hilbert space, we express a scar state $\ket {\Psi_{n,l}}$ as a superposition of all string bases with an identical string number $n$ and a total length $l$. For the small-$l$ scar state $\ket {\Psi_{n,l}}$, 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. Comment: 7+2 pages, 4+1 figures |
| Databáze: | arXiv |
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