Dissipative Boundary State Preparation

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.

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• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Topologically Ordered Steady States in Open Quantum Systems
• Majorana zero-modes in a dissipative Rashba nanowire
• Steady-state topological order
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Driven-Dissipative Dynamics of Ultracold Atoms Trapped in an Array of Harmonic Potentials
• Characterizing dynamical behaviors in topological open systems with boundary dissipations
• Stability via symmetry breaking in interacting driven systems
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking