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Dissipative boundary state preparation

delete2023-12-11
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杨帆 cover
杨帆 (Fan Yang) *
P
Paolo Molignini
E
Emil J. Bergholtz
DOI:10.1103/PhysRevResearch.5.043229delete
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Abstract

Abstract

En 中文
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.
Keywords:
QUANTUM
REALIZATION
DRIVEN
MATTER
ATOMS
MODEL

Journal

Physical Review Research cover
Physical Review Research
IF:
4.2
Papers:
7.6K
Citations:
2.7W

Organization

E
Ecole Polytechnique Federale de Lausanne
Scholars:
1.7W
Papers: 1.3W
Citations: 25
S
swiss federal institutes of technology domain
Scholars:
9.0W
Papers: 8.0W
Citations: 163