Long-living coherence in 2D and 3D disordered dipolar-coupled spin systems under strong periodic driving*

It has been found recently [1] that a 3D dipolar-coupled network of electronic spins under periodic driving shows long-living coherence and signatures of the time-crystal-like order. Similar behavior has also been observed and studied before [2,3], in the 3D networks of the nuclear spins subjected to the spin-echo pulse trains, and has been used for 70,000-fold improvement in NMR spectroscopy [2].
We numerically simulated these effects in 2D and 3D dipolar-coupled spin systems, directly solving the time-dependent Schrodinger equation. We show that the many-body localization is only marginally related to the appearance of the slowly decaying coherence. We identify the simplest Hamiltonian where the long-living coherence are observed in agreement with experiments, and the relevant parameters for 2D spin systems, to enable application of the long-living coherence in advanced sensing and metrology.
[1] S. Choi et al., Nature 543, 221 (2017)
[2] Y. Dong et al., Phys. Rev. Lett. 100, 247601 (2008)
[3] W. Zhang et al., J. Phys.: Cond. Matter 19, 083202 (2007)