Inhomogeneous charge density wave states induced by quantum quenches

We study the post-quench dynamics of the charge-density-wave (CDW) orders in the t-V model. The ground state of the system is characterized by a checkerboard modulation of fermion numbers due to a perfect nesting of the Fermi surface at half-filling. An efficient real-space von Neumann equation method is employed to investigate the quench dynamics of an initially perfect CDW state. Our large-scale simulations reproduce the three distinct post-quench behaviors, the phase-locked coherent oscillation, Landau-damped, and over-damped oscillations. Moreover, we observe the emergence of intriguing inhomogeneous CDW states for quenches with particularly large increase of interaction strength. We perform quantitative characterizations of the quench-induced inhomogeneity, and its relationship with the depth of quenched interactions. Our results demonstrate the spatial inhomogeneity in the quench dynamics of Ising-type order, which is perhaps one of the simplest examples of symmetry breaking, and underscore the importance of dynamical inhomogeneity in quantum quenches of many-body systems with more complex orders.