Dissipative preparation of Laughlin-like states

Fractional quantum Hall (FQH) states are a central paradigm of strongly correlated quantum matter and a key platform for topological quantum computation. Here, we propose a purely dissipative protocol based on local loss and pump channels for preparing Laughlin-like states at filling $1/3$, with a possible extension to other $1/M$ filling states. We show that Laughlin-like states are the exact steady states of the Lindbladian and can be reached from arbitrary initial states. We find that the Lindbladian gap bounded from below with increasing system size. We further demonstrate adiabatic pumping of a Laughlin-like state through slow modulation of the pump channels during the evolution. Our work opens a feasible route to preparing and manipulating FQH states on near-term quantum simulators.

Source: arXiv:2606.23451v1 - http://arxiv.org/abs/2606.23451v1 PDF: https://arxiv.org/pdf/2606.23451v1 Original Link: http://arxiv.org/abs/2606.23451v1