Abstract
This thesis aims to characterize and control the particle and energy transport in one-dimensional open quantum systems far from equilibrium. Quantum manybody effects are used as important tools to tune the transport. Two prototypical bosonic systems are studied:(i) the interacting bosonic chain and (ii) the (interacting) bosonic ladder of two coupled chains. Two different models of the dissipative environment are considered:(i) Quantum Lindblad master equation (QLME) and (ii) the microscopic model of system plus environment. As byproducts, this thesis advances matrix product states (MPS) methods, exact diagonalization, and apply these numerical techniques to study open quantum systems. For an interacting bosonic chain, with dissipative boundary driving, the effects of the interaction on the dynamics and steady state are studied in two different set-ups. In one case, the dissipative boundary drivings are applied to the two extremities which in general will drive the system towards a non-equilibrium steady state (NESS) with a non-zero steady state current ?owing through the chain. And it is shown that inter-action leads to diffusive transport and scaling invariant dynamics. In the other case, the chain is coupled to an environment from one of its extremities. The full dynamics of the system plus environment is studied, which shows a stable to unstable transition depending on the interaction strength of the system. A bosonic ladder, with a nonzero gauge ?eld and dissipative boundary driving, is studied for both the free bosons and interacting bosons. In the non-interacting case, two open quantum phase transitions are shown to emerge due to the interplay between the geometry of the boundary driving and the gauge ?eld. In the interacting case, the current is found to be insensitive to the gauge ?eld in regimes that the interaction plays an important role. Negative and super linear differential conductance are also identi?ed for interacting bosons. For a class of QLME whose Lindbladian is quadratic, and if the Hamiltonian also conserves the total particle number, an exact diagonalization scheme is proposed. For a system of size L, the diagonalization of the Lindblad operator is reduced to diagonal- izing a L ? L non-Hermitian matrix, compared to 2L ? 2L matrix in previous works. Closed form of solutions are found for uniform chains with nearest neighbour tunnel- ing.