Dissipative boundary state preparation
We devise a generic and experimentally accessible recipe to prepare boundary states of topological or non topological quantum systems through an interplay between coherent Hamiltonian dynamics and local dissipation. Intuitively, our recipe harnesses the spatial structure of boundary states which vanish on sublattices where losses are suitably engineered. This yields unique nontrivial steady states that populate the targeted boundary states with infinite lifetimes while all other states are exponentially damped in time. Remarkably, applying loss only at one boundary can yield a unique steady state localized at the very same boundary. We detail our construction and rigorously derive full Liouvillian spectra and dissipative gaps in the presence of a spectral mirror symmetry for a one-dimensional Su-Schrieffer-Heeger model and a two-dimensional Chern insulator. We outline how our recipe extends to generic noninteracting systems.
WOS:001128821600008
2023-12-11
5
4
043229
REVIEWED
Funder | Grant Number |
Swedish Research Council | 2018-00313 |
Knut and Alice Wallenberg Foundation(KAW) | 2018.0460 |
Project Dynamic Quantum Matter | 2019.0068 |
Goran Gustafsson Foundation for Research in Natural Sciences and Medicine | |