The aim of this work is to study the dynamics of quantum systems subjected to a localized fermionic source in the presence of bulk dephasing. We consider two classes of one-dimensional lattice systems: (i) a non-interacting lattice with nearest-neighbor and beyond, i.e., long-ranged (power-law) hopping, and (ii) a lattice that is interacting via short-range interactions modeled by a fermionic quartic Hamiltonian. We study the evolution of the local density profile $n_i(t)$ within the system and the growth of the total particle number $N(t)$ in it. For case (i), we provide analytical insights into the dynamics of the nearest-neighbor model using an adiabatic approximation, which relies on assuming faster relaxation of coherences of the single particle density matrix. For case (ii), we perform numerical computations using the time-evolving block decimation (TEBD) algorithm and analyze the density profile and the growth exponent in $N(t)$. Our detailed study reveals an interesting interplay between Hamiltonian dynamics and various environmentally induced mechanisms in open quantum systems, such as local source and bulk dephasing. It brings out rich dynamics, including universal dynamical scaling and anomalous behavior across various time scales and is of relevance to various quantum simulation platforms.
Dephasing-induced distinct mobility edges in a dimerized off-diagonal quasicrystal
College of Mathematics and Physics, Chengdu University of Technology（成都理工大学数学与物理学院）；School of Physics, Hangzhou Normal University（杭州师范大学物理学院）；School of Physics, Nankai University（南开大学物理学院）
Measurement-Induced Local Dephasing Generates Symmetrically Located Entangled Sites in a Fermionic Tight-Binding Lattice
Harish-Chandra Research Institute, A CI of Homi Bhabha National Institute（哈里什-钱德拉研究所）；Department of Theoretical Physics, Tata Institute of Fundamental Research（塔塔基础研究院理论物理系）；Physics and Applied Mathematics Unit, Indian Statistical Institute（印度统计学院物理与应用数学单元）
Observation of a topological edge state among localized bulk states in the anisotropic quantum Rabi model
Sungkyunkwan University（成均馆大学）；SKKU Advanced Institute of Nanotechnology & Department of Nano Science and Technology (SAINT), Sungkyunkwan University（成均馆大学纳米科学技术高级研究所与纳米科学与技术系（SAINT））；Sandia National Laboratories（桑迪亚国家实验室）；Korea University（高丽大学）；Department of Physics, Korea University（高丽大学物理系）；Department of Quantum Information Engineering, Sungkyunkwan University（成均馆大学量子信息工程系）
