© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Acta Physica Sinica

Topological pumping of bound states in ultracold atomic optical lattice

ZHAO Wanshuang, HUANG Boning, KE Yongguan, Chaohong Lee

Published Jan 1, 2026• 0 citations

Abstract

拓扑泵浦是受拓扑保护的定向粒子输运，近年来在超冷原子、光子晶体等实验平台中已被广泛实现. 粒子间相互作用无处不在，为拓扑泵浦带来了新的调控自由度. 为进一步探究相互作用系统中的拓扑输运规律，本文研究了一维相互作用广义 Aubry-André-Harper 模型中两粒子束缚态的拓扑泵浦行为. 只考虑在位相互作用，除同位束缚态拓扑泵浦外，还存在一种新奇的邻位束缚态泵浦模式，即两粒子始终保持相邻占据并作为整体进行拓扑泵浦. 在绝热周期驱动下，两类束缚态均可作为复合准粒子实现量子化泵浦，经过一个泵浦周期，其质心位移取决于对应能带的陈数. 在开边界条件下，系统中存在这两类束缚态的边缘模式，其可以通过边缘态-体态混合泵浦模式从系统一侧边缘输运到另一侧边缘. 本研究揭示了邻位束缚对拓扑泵浦这一新颖的输运模式，丰富了两体拓扑泵浦的物理图像，为相互作用系统中的拓扑输运研究提供了新的视角.

DOI: 10.7498/aps.75.20260498

Related papers

Experimental Realization of the Kicked Aubry-André-Harper Hamiltonian

Toshihiko Shimasaki, H. Esat Kondakci, Max Prichard +7 more

We report an experimental study investigating transport phenomena of ultracold atoms loaded in a primary optical lattice and periodically-kicked with an incommensurate optical lattice. We observe signatures of an extended multifractal phase.

Conference on Lasers and Electro-Optics•Jan 1, 2022•0 citations

High-orbital flat bands of ultracold atoms in twisted bilayer honeycomb optical lattices

ZHANG Chun-Yao, GONG Lin-Shan, GUO Hui +2 more

最近超冷原子扭转双层光晶格的实验实现为在超冷原子体系中研究平带物理提供了新的平台。已有研究表明在扭转双层蜂巢光晶格s轨道能带的狄拉克点处可以形成平带，从而实现对魔角石墨烯材料的量子模拟。本文进一步研究了扭转双层蜂巢光晶格中超冷原子在高轨道的能带性质。结果表明，在合适的层间耦合下，平带不仅可以在s轨道狄拉克点处出现，还能够在高轨道能带中的其他简并点以及能带顶和能带底形成。对于简并点诱导的平带，存在临界耦合强度，在该临界值附近能带最平，超过临界值后能带再次变得不平。相比之下，能带顶和能带底处的平带随层间耦合强度增大而持续变平。在深光晶格区域，随着层间耦合强度的变化，还观察到平带在能谱中的漂移现象。进一步分析表明，高轨道平带与s轨道狄拉克点诱导的平带在拓扑与几何性质上具有明显差异：后者在单粒子层面呈现出由非零Wilson loop缠绕刻画的非平庸拓扑；而前者的几何相位效应通常受到抑制，表现为wilson loop缠绕数为零。特别地，高轨道狄拉克点诱导的平带虽不支持与s带狄拉克点诱导的平带同类型的强拓扑缠绕，但仍保留一定的非阿贝尔几何相位响应，表现为wilson loop相位在零附近出现有限起伏。超冷原子扭转光晶格中这些丰富的平带结构及其拓扑与几何性质，为进一步研究强关联物理和拓扑量子相变奠定了基础。

Acta Physica Sinica•Jan 1, 2026•0 citations

Quantum walks in the commensurate off-diagonal Aubry-André-Harper model

Li Wang, Na Liu, Shu Chen +1 more

Due to the topological nature of the Aubry-Andr\'e-Harper (AAH) model, interesting edge states have been found existing in one-dimensional periodic and quasiperiodic lattices. In this article, we investigate continuous-time quantum walks of identical particles initially located on either edge of commensurate AAH lattices in detail. It is shown that the quantum walker is delocalized among the whole lattice until the strength of periodic modulation is strong enough. The inverse participation ratios (IPRs) for all of the eigenstates are calculated. It is found that the localization properties of the quantum walker is mainly determined by the IPRs of the topologically protected edge states. More interestingly, the edge states are shown to have an evident ``repulsion'' effect on quantum walkers initiated from the lattice sites inside the bulk. Furthermore, we examine the role of nearest-neighbor interaction on the quantum walks of two identical fermions. Clear enhancement of the repulsion effect by strong interaction has been shown.

arXiv:1610.02140•Physical Review A•Jan 19, 2017•23 citations

Controlling the Directed Quantum Transport of Ultracold Atoms in an Optical Lattice with a Periodic Driving Field

Dong, Gong, Ming Ming +4 more

我们建议一个新方法在一个一个维的光格子控制 ultracold 原子的指导的量运输。在这个建议，在附近的地点之间的有效通道能被调节外部地的阶段经由通道的协调破坏调整，而不是使用开车的地紧张或频率，因此， ultracold 原子的指导的量运输能协调地以一种容易得多的方式被控制。我们的建议克服 Creffield 等使用的方法的主要缺点。[Phys。加快。Lett。99 (2007 ) 110501 ] ，并且原则上，能在任何一个维的光格子被实现。计划的一些潜在的应用也被讨论。

Chinese Physics Letters•Jan 1, 2015•0 citations

Observation and Control of Sharp Many-Body Localization in Cold-Atom Optical Lattices

Xingbo Wei, Xuewei Zuo

We investigate the localization transition in a one-dimensional extended Aubry–André–Harper (AAH) model, emphasizing its implementation as a quantum simulator in ultracold atomic optical lattices. In the single-particle case, quasi-periodic hopping modulation allows the localization transition point to be clearly observed even for small system sizes. By driving the system into strongly Anderson localized states immediately after the transition, we observe a sharp many-body localization (MBL) transition upon introducing interactions, with the MBL transition point closely approaching that of Anderson localization. To demonstrate the effects of interactions, we map out a global phase diagram and find that critical states in this model are easily thermalized. Contrary to previous studies where enhanced interactions significantly promoted thermalization, we find that increasing interactions does not notably shift the MBL transition point. Importantly, our setup offers a practical and experimentally accessible platform for studying sharp MBL transitions using ultracold atoms in optical lattices, bridging MBL physics with advances in quantum optics and cold-atom technologies.

Optics•Jun 30, 2026•0 citations

Topological states in a ladder-like optical lattice containing ultracold atoms in higher orbital bands

Xiaopeng Li, Erhai Zhao, W. Vincent Liu

arXiv:1205.0254•Nature Communications•Feb 26, 2013•177 citations

拓扑泵浦是受拓扑保护的定向粒子输运，近年来在超冷原子、光子晶体等实验平台中已被广泛实现. 粒子间相互作用无处不在，为拓扑泵浦带来了新的调控自由度. 为进一步探究相互作用系统中的拓扑输运规律，本文研究了一维相互作用广义 Aubry-André-Harper 模型中两粒子束缚态的拓扑泵浦行为. 只考虑在位相互作用，除同位束缚态拓扑泵浦外，还存在一种新奇的邻位束缚态泵浦模式，即两粒子始终保持相邻占据并作为整体进行拓扑泵浦. 在绝热周期驱动下，两类束缚态均可作为复合准粒子实现量子化泵浦，经过一个泵浦周期，其质心位移取决于对应能带的陈数. 在开边界条件下，系统中存在这两类束缚态的边缘模式，其可以通过边缘态-体态混合泵浦模式从系统一侧边缘输运到另一侧边缘. 本研究揭示了邻位束缚对拓扑泵浦这一新颖的输运模式，丰富了两体拓扑泵浦的物理图像，为相互作用系统中的拓扑输运研究提供了新的视角.

最近超冷原子扭转双层光晶格的实验实现为在超冷原子体系中研究平带物理提供了新的平台。已有研究表明在扭转双层蜂巢光晶格s轨道能带的狄拉克点处可以形成平带，从而实现对魔角石墨烯材料的量子模拟。本文进一步研究了扭转双层蜂巢光晶格中超冷原子在高轨道的能带性质。结果表明，在合适的层间耦合下，平带不仅可以在s轨道狄拉克点处出现，还能够在高轨道能带中的其他简并点以及能带顶和能带底形成。对于简并点诱导的平带，存在临界耦合强度，在该临界值附近能带最平，超过临界值后能带再次变得不平。相比之下，能带顶和能带底处的平带随层间耦合强度增大而持续变平。在深光晶格区域，随着层间耦合强度的变化，还观察到平带在能谱中的漂移现象。进一步分析表明，高轨道平带与s轨道狄拉克点诱导的平带在拓扑与几何性质上具有明显差异：后者在单粒子层面呈现出由非零Wilson loop缠绕刻画的非平庸拓扑；而前者的几何相位效应通常受到抑制，表现为wilson loop缠绕数为零。特别地，高轨道狄拉克点诱导的平带虽不支持与s带狄拉克点诱导的平带同类型的强拓扑缠绕，但仍保留一定的非阿贝尔几何相位响应，表现为wilson loop相位在零附近出现有限起伏。超冷原子扭转光晶格中这些丰富的平带结构及其拓扑与几何性质，为进一步研究强关联物理和拓扑量子相变奠定了基础。

Due to the topological nature of the Aubry-Andr\'e-Harper (AAH) model, interesting edge states have been found existing in one-dimensional periodic and quasiperiodic lattices. In this article, we investigate continuous-time quantum walks of identical particles initially located on either edge of commensurate AAH lattices in detail. It is shown that the quantum walker is delocalized among the whole lattice until the strength of periodic modulation is strong enough. The inverse participation ratios (IPRs) for all of the eigenstates are calculated. It is found that the localization properties of the quantum walker is mainly determined by the IPRs of the topologically protected edge states. More interestingly, the edge states are shown to have an evident ``repulsion'' effect on quantum walkers initiated from the lattice sites inside the bulk. Furthermore, we examine the role of nearest-neighbor interaction on the quantum walks of two identical fermions. Clear enhancement of the repulsion effect by strong interaction has been shown.

我们建议一个新方法在一个一个维的光格子控制 ultracold 原子的指导的量运输。在这个建议，在附近的地点之间的有效通道能被调节外部地的阶段经由通道的协调破坏调整，而不是使用开车的地紧张或频率，因此， ultracold 原子的指导的量运输能协调地以一种容易得多的方式被控制。我们的建议克服 Creffield 等使用的方法的主要缺点。[Phys。加快。Lett。99 (2007 ) 110501 ] ，并且原则上，能在任何一个维的光格子被实现。计划的一些潜在的应用也被讨论。

We investigate the localization transition in a one-dimensional extended Aubry–André–Harper (AAH) model, emphasizing its implementation as a quantum simulator in ultracold atomic optical lattices. In the single-particle case, quasi-periodic hopping modulation allows the localization transition point to be clearly observed even for small system sizes. By driving the system into strongly Anderson localized states immediately after the transition, we observe a sharp many-body localization (MBL) transition upon introducing interactions, with the MBL transition point closely approaching that of Anderson localization. To demonstrate the effects of interactions, we map out a global phase diagram and find that critical states in this model are easily thermalized. Contrary to previous studies where enhanced interactions significantly promoted thermalization, we find that increasing interactions does not notably shift the MBL transition point. Importantly, our setup offers a practical and experimentally accessible platform for studying sharp MBL transitions using ultracold atoms in optical lattices, bridging MBL physics with advances in quantum optics and cold-atom technologies.