Optimizing Quantum Transport in 1D Open Quantum Systems
Optimizing quantum transport over noisy networks is important to the development of advanced energy and information processing technologies such as in quantum communication or solar cells. In this project, we focus on transport of a single excitation in a one-dimensional chain with long range couplings, and we aim to optimize the chain's energy profile towards high transport flux. The system’s interaction with its environment is modeled through the Lindblad master equation with fixed dephasing rates. We study the optimal chain design under infinite temperature conditions, utilizing Optax’s optimistic gradient descent and JAX’s automatic differentiation. As a case study, we test the optimization approach against complete simulations for a three-site chain. We show that in the local-site local-decoherence model (representing an infinite temperature bath), transport is insensitive to the position of the central level when couplings beyond nearest neighbors are included. I will also present results of ongoing work, focusing on optimization of longer networks. I will conclude by discussing extensions to muti excitations and higher dimension networks.