Topological pumping assisted by Bloch oscillations

Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state selected in a band of interest, including Bloch states. In this app...

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Main Authors: Yongguan Ke, Shi Hu, Bo Zhu, Jiangbin Gong, Yuri Kivshar, Chaohong Lee
Format: Article
Language:English
Published: American Physical Society 2020-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033143
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author Yongguan Ke
Shi Hu
Bo Zhu
Jiangbin Gong
Yuri Kivshar
Chaohong Lee
author_facet Yongguan Ke
Shi Hu
Bo Zhu
Jiangbin Gong
Yuri Kivshar
Chaohong Lee
author_sort Yongguan Ke
collection DOAJ
description Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state selected in a band of interest, including Bloch states. In this approach, the time variable offers not only a synthetic dimension as in the case of the Thouless pumping, but it assists also in the uniform sampling of all momenta due to the Bloch oscillations induced by the tilt. The quantized drift of Bloch oscillations is determined by a one-dimensional time integral of the Berry curvature, which is effectively an integer multiple of the topological Chern number in the Thouless pumping. Our study offers a straightforward approach to yield quantized pumping, and it is useful for probing topological phase transitions.
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spelling doaj.art-a8984defc3ac4c44b587473a4543d1d12024-04-12T16:57:49ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303314310.1103/PhysRevResearch.2.033143Topological pumping assisted by Bloch oscillationsYongguan KeShi HuBo ZhuJiangbin GongYuri KivsharChaohong LeeAdiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state selected in a band of interest, including Bloch states. In this approach, the time variable offers not only a synthetic dimension as in the case of the Thouless pumping, but it assists also in the uniform sampling of all momenta due to the Bloch oscillations induced by the tilt. The quantized drift of Bloch oscillations is determined by a one-dimensional time integral of the Berry curvature, which is effectively an integer multiple of the topological Chern number in the Thouless pumping. Our study offers a straightforward approach to yield quantized pumping, and it is useful for probing topological phase transitions.http://doi.org/10.1103/PhysRevResearch.2.033143
spellingShingle Yongguan Ke
Shi Hu
Bo Zhu
Jiangbin Gong
Yuri Kivshar
Chaohong Lee
Topological pumping assisted by Bloch oscillations
Physical Review Research
title Topological pumping assisted by Bloch oscillations
title_full Topological pumping assisted by Bloch oscillations
title_fullStr Topological pumping assisted by Bloch oscillations
title_full_unstemmed Topological pumping assisted by Bloch oscillations
title_short Topological pumping assisted by Bloch oscillations
title_sort topological pumping assisted by bloch oscillations
url http://doi.org/10.1103/PhysRevResearch.2.033143
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AT shihu topologicalpumpingassistedbyblochoscillations
AT bozhu topologicalpumpingassistedbyblochoscillations
AT jiangbingong topologicalpumpingassistedbyblochoscillations
AT yurikivshar topologicalpumpingassistedbyblochoscillations
AT chaohonglee topologicalpumpingassistedbyblochoscillations