SUPA, School of Physics and Astronomy, University of St. Andrews, North Haugh, St. Andrews, Fife KY16 9SS, United Kingdom.
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
Phys Rev Lett. 2019 Feb 1;122(4):040606. doi: 10.1103/PhysRevLett.122.040606.
We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the noninteracting case, due to Wannier-Stark localization, the single-particle wave functions are exponentially localized even though the model has no quenched disorder. We show that this system remains localized in the presence of interactions and exhibits physics analogous to models of conventional many-body localization (MBL). In particular, the entanglement entropy grows logarithmically with time after a quench, albeit with a slightly different functional form from the MBL case, and the level statistics of the many-body energy spectrum are Poissonian. We moreover predict that a quench experiment starting from a charge-density wave state would show results similar to those of Schreiber et al. [Science 349, 842 (2015)SCIEAS0036-807510.1126/science.aaa7432].
我们考虑在有限一维格点上的无自旋费米子，它们通过最近邻排斥相互作用，并受到强电场的作用。在非相互作用的情况下，由于Wannier-Stark 局域化，即使模型没有淬火无序，单粒子波函数也是指数局域的。我们表明，在存在相互作用的情况下，该系统仍然保持局域化，并表现出类似于传统多体局域化（MBL）模型的物理性质。具体来说，在淬火后，纠缠熵随时间呈对数增长，尽管与 MBL 情况的函数形式略有不同，并且多体态能量谱的能级统计是泊松分布。此外，我们预测，从电荷密度波态开始的淬火实验将显示出与 Schreiber 等人类似的结果[Science 349, 842 (2015)SCIEAS0036-807510.1126/science.aaa7432]。
