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The interplay of $\pi$-flux and lattice geometry can yield full localization of quantum dynamics in lattice systems, a striking interference phenomenon known as Aharonov-Bohm caging. At the level of the single-particle energy spectrum, this…

Quantum Gases · Physics 2019-10-30 Marco Di Liberto , Sebabrata Mukherjee , Nathan Goldman

Flat bands play a central role in hosting emergent states of matter in many condensed matter systems, from the nascent insulating states of twisted bilayer graphene to the fractionalized excitations found in frustrated magnets and quantum…

Quantum Gases · Physics 2024-04-02 Tao Chen , Chenxi Huang , Ivan Velkovsky , Tomoki Ozawa , Hannah Price , Jacob P. Covey , Bryce Gadway

Aharonov-Bohm (AB) caging, a special flat-band localization mechanism, has spurred great interest in different areas of physics. AB caging can be harnessed to explore the rich and exotic physics of quantum transport in flatband systems,…

Quantum Gases · Physics 2022-11-24 Hang Li , Zhaoli Dong , Stefano Longhi , Qian Liang , Dizhou Xie , Bo Yan

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Xiaoqi Zhou , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

The induction of synthetic magnetic fields on lattice structures allows to effectively control their localization and transport properties. In this work, we generate effective $\pi$ magnetic fluxes on a multi-orbital diamond lattice, where…

Other Condensed Matter · Physics 2022-07-13 Gabriel Cáceres-Aravena , Diego Guzmán-Silva , Ignacio Salinas , Rodrigo A. Vicencio

We study transport of interacting bosons through an Aharonov-Bohm cage - a building block of flat band networks - with coherent pump and sink leads. In the absence of interactions the cage is insulating due to destructive interference. We…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 A. R. Kolovsky , P. S. Muraev , S. Flach

We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling…

The Aharonov-Bohm (AB) caging is the phenomenon of extreme localization of particles experiencing magnetic field in certain tight binding lattices. While the AB caging involves the localization of non-interacting particles, it often breaks…

Quantum Gases · Physics 2024-09-10 Sitaram Maity , Biswajit Paul , Soumya Prakash Sharma , Tapan Mishra

Flat-band lattices hosting compact localized states are highly sensitive to external modulation, and the tailored design of a perturbation to imprint specific features becomes relevant. Here we show that periodic driving in the…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Aamna Ahmed , Mónica Benito , Beatriz Pérez-González

In flat-band systems, destructive interference leads to the localization of non-interacting particles and forbids their motion through the lattice. However, in the presence of interactions the overlap between neighbouring single-particle…

Quantum Gases · Physics 2020-08-21 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

Flat-band systems are highly sensitive to external perturbations, providing a route to study unconventional localization, transport, and spin physics. Lieb lattice, a two-dimensional geometry with an inherent flat band, exemplifies this…

Quantum Gases · Physics 2025-08-29 Nana Chang , Xiaoji Zhou

Aharonov-Bohm (AB) caging is the localization effect in translational-invariant lattices due to destructive interference induced by penetrated magnetic fields. While current research focuses mainly on the case of Abelian AB caging, here we…

Quantum Physics · Physics 2020-08-26 Sheng Li , Zheng-Yuan Xue , Ming Gong , Yong Hu

We study a system of a few ultracold bosons loaded into the states with orbital angular momentum $l=1$ of a one-dimensional staggered lattice of rings. Local eigenstates with winding numbers $+l$ and $-l$ form a Creutz ladder with a real…

Fock-state lattices (FSLs), composed of photon number states with infinite Hilbert space, have emerged as a promising platform for simulating high-dimensional physics due to their potential to extend into arbitrarily high dimensions. Here,…

This paper presents a theory of interaction-induced band-flattening in strongly correlated electron systems. We begin by illustrating an inherent connection between flat bands and index theorems, and presenting a generic prescription for…

Strongly Correlated Electrons · Physics 2024-10-18 Alireza Parhizkar , Victor Galitski

Flat-band systems offer a uniquely powerful tool for quantum control in dynamics due to their characteristic feature of having a dispersionless energy band. Simulating such highly sensitive systems on current digital quantum computers is a…

Quantum Physics · Physics 2025-10-27 Mrinal Kanti Giri , Pochung Chen

Aharonov-Bohm caging is a localization mechanism stemming from the competition between the geometry and the magnetic field. Originally described for a tight-binding model in the dice lattice, this destructive interference phenomenon…

Mesoscale and Nanoscale Physics · Physics 2022-10-13 R. Mosseri , R. Vogeler , J. Vidal

Aharonov-Bohm (AB) caging is the complete wavefunction localization effect in translational-invariant lattices induced by destructive phase interference. These phases originate from the gauge fields such as the penetrated magnetic fields,…

Quantum Physics · Physics 2026-05-25 Le-Chuan Wang , Sai Li , Jia Liu , Zheng-Yuan Xue

In the lattice system, when the synthetic flux reaches a $\pi$ phase along a closed loop under the synthetic gauge field, destructive interference occurs and gives rise to the localization phenomenon. This is known as the Aharonov-Bohm (AB)…

Quantum Physics · Physics 2025-05-05 Zhiyuan Liu , Wanchao Yao , Sai Li , Yi Li , Yue Li , Zheng-Yuan Xue , Yiheng Lin

The concept of flat band plays an important role in strongly-correlated many-body physics. However, the demonstration of the flat band physics is highly nontrivial due to intrinsic limitations in conventional condensed matter materials.…

Quantum Physics · Physics 2016-06-29 Zi-He Yang , Yan-Pu Wang , Zheng-Yuan Xue , Wan-Li Yang , Yong Hu , Jin-Hua Gao , Ying Wu
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