Phase vortices of the quenched Haldane Model
Using the recently developed Bloch-state tomography technique, the quasimomentum $\bf k$-dependent Bloch states ${\left( {\sin \left( {θ_{\mathbf{k}}/2} \right),\; - \cos \left( {θ_{\mathbf{k}}/2} \right){e^{i{ϕ_{\mathbf{k}}}}}} \right)^T}$ of a two-band tight-binding model with two sublattices can...
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ftdatacite:10.48550/arxiv.1611.08917 2023-05-15T17:39:53+02:00 Phase vortices of the quenched Haldane Model Yu, Jinlong 2016 https://dx.doi.org/10.48550/arxiv.1611.08917 https://arxiv.org/abs/1611.08917 unknown arXiv https://dx.doi.org/10.1103/physreva.96.023601 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Quantum Gases cond-mat.quant-gas FOS Physical sciences article-journal Article ScholarlyArticle Text 2016 ftdatacite https://doi.org/10.48550/arxiv.1611.08917 https://doi.org/10.1103/physreva.96.023601 2022-04-01T11:16:48Z Using the recently developed Bloch-state tomography technique, the quasimomentum $\bf k$-dependent Bloch states ${\left( {\sin \left( {θ_{\mathbf{k}}/2} \right),\; - \cos \left( {θ_{\mathbf{k}}/2} \right){e^{i{ϕ_{\mathbf{k}}}}}} \right)^T}$ of a two-band tight-binding model with two sublattices can be mapped out. We show that, if we prepare the initial Bloch state as the lower-band eigenstate of a topologically trivial Haldane Hamiltonian $H_i$, and then quench the Haldane Hamiltonian to $H_f$, the time-dependent azimuthal phase ${ϕ_{\mathbf{k}}(t)}$ supports two types of vortices. The first type of vortices are static, with the corresponding Bloch vectors pointing to the north pole ($θ_{\mathbf{k}}=0$). The second type of vortices are dynamical, with the corresponding Bloch vectors pointing to the south pole ($θ_{\mathbf{k}}=π$). In the $(k_x,k_y,t)$ space, the linking number between the trajectories of these two types of vortices equals exactly to the Chern number of the lower band of $H_f$, which provides an alternative method to directly map out the topological phase boundaries of the Haldane model. Text North Pole South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole North Pole |
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Quantum Gases cond-mat.quant-gas FOS Physical sciences |
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Quantum Gases cond-mat.quant-gas FOS Physical sciences Yu, Jinlong Phase vortices of the quenched Haldane Model |
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Quantum Gases cond-mat.quant-gas FOS Physical sciences |
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Using the recently developed Bloch-state tomography technique, the quasimomentum $\bf k$-dependent Bloch states ${\left( {\sin \left( {θ_{\mathbf{k}}/2} \right),\; - \cos \left( {θ_{\mathbf{k}}/2} \right){e^{i{ϕ_{\mathbf{k}}}}}} \right)^T}$ of a two-band tight-binding model with two sublattices can be mapped out. We show that, if we prepare the initial Bloch state as the lower-band eigenstate of a topologically trivial Haldane Hamiltonian $H_i$, and then quench the Haldane Hamiltonian to $H_f$, the time-dependent azimuthal phase ${ϕ_{\mathbf{k}}(t)}$ supports two types of vortices. The first type of vortices are static, with the corresponding Bloch vectors pointing to the north pole ($θ_{\mathbf{k}}=0$). The second type of vortices are dynamical, with the corresponding Bloch vectors pointing to the south pole ($θ_{\mathbf{k}}=π$). In the $(k_x,k_y,t)$ space, the linking number between the trajectories of these two types of vortices equals exactly to the Chern number of the lower band of $H_f$, which provides an alternative method to directly map out the topological phase boundaries of the Haldane model. |
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Text |
author |
Yu, Jinlong |
author_facet |
Yu, Jinlong |
author_sort |
Yu, Jinlong |
title |
Phase vortices of the quenched Haldane Model |
title_short |
Phase vortices of the quenched Haldane Model |
title_full |
Phase vortices of the quenched Haldane Model |
title_fullStr |
Phase vortices of the quenched Haldane Model |
title_full_unstemmed |
Phase vortices of the quenched Haldane Model |
title_sort |
phase vortices of the quenched haldane model |
publisher |
arXiv |
publishDate |
2016 |
url |
https://dx.doi.org/10.48550/arxiv.1611.08917 https://arxiv.org/abs/1611.08917 |
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South Pole North Pole |
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North Pole South pole |
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North Pole South pole |
op_relation |
https://dx.doi.org/10.1103/physreva.96.023601 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1611.08917 https://doi.org/10.1103/physreva.96.023601 |
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1766140650685726720 |