Observation of Higher-order Topological Bound States in the Continuum using Ultracold Atoms

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Hauptverfasser: Dong, Zhaoli, Li, Hang, Wang, Hongru, Pan, Yichen, Yi, Wei, Yan, Bo
Format: Preprint
Veröffentlicht: 2025
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author Dong, Zhaoli
Li, Hang
Wang, Hongru
Pan, Yichen
Yi, Wei
Yan, Bo
author_facet Dong, Zhaoli
Li, Hang
Wang, Hongru
Pan, Yichen
Yi, Wei
Yan, Bo
contents Simulating higher-order topological materials in synthetic quantum matter is an active research frontier for its theoretical significance in fundamental physics and promising applications in quantum technologies. Here we experimentally implement two-dimensional (2D) momentum lattices with highly programmable ability using ultracold 87Rb atoms. Through precise control of experimental parameters, we simulate a 2D Su-Schrieffer-Heeger model with this technique, and observe the characteristic dynamics of corner and edge-bound states, where the corner state is identified as a higher-order topological bound state in the continuum. We further study the adiabatic preparation of the corner state by engineering evolutions with time-dependent Hamiltonians. We also demonstrate the higher-order topological phase transition by measuring both the bulk topological invariant and the topological corner state. Our new platform opens the avenue for exploring the exotic dynamics and topology in higher synthetic dimensions, making use of the rich degrees of freedom of cold atoms systems.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13499
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observation of Higher-order Topological Bound States in the Continuum using Ultracold Atoms
Dong, Zhaoli
Li, Hang
Wang, Hongru
Pan, Yichen
Yi, Wei
Yan, Bo
Quantum Gases
Simulating higher-order topological materials in synthetic quantum matter is an active research frontier for its theoretical significance in fundamental physics and promising applications in quantum technologies. Here we experimentally implement two-dimensional (2D) momentum lattices with highly programmable ability using ultracold 87Rb atoms. Through precise control of experimental parameters, we simulate a 2D Su-Schrieffer-Heeger model with this technique, and observe the characteristic dynamics of corner and edge-bound states, where the corner state is identified as a higher-order topological bound state in the continuum. We further study the adiabatic preparation of the corner state by engineering evolutions with time-dependent Hamiltonians. We also demonstrate the higher-order topological phase transition by measuring both the bulk topological invariant and the topological corner state. Our new platform opens the avenue for exploring the exotic dynamics and topology in higher synthetic dimensions, making use of the rich degrees of freedom of cold atoms systems.
title Observation of Higher-order Topological Bound States in the Continuum using Ultracold Atoms
topic Quantum Gases
url https://arxiv.org/abs/2501.13499