Dissipative Boundary State Preparation

TL;DR

This paper presents a practical method to prepare boundary states in quantum systems using engineered dissipation, enabling stable, long-lived states localized at system boundaries with potential experimental applications.

Contribution

It introduces a novel, experimentally feasible approach to generate boundary states via local dissipation, extending to generic noninteracting systems and providing rigorous spectral analysis.

Findings

Unique steady states with infinite lifetimes at boundaries.

Loss at one boundary can localize a steady state there.

Explicit spectral and dissipative gap calculations for models.

Abstract

We devise a generic and experimentally accessible recipe to prepare boundary states of topological or nontopological 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.