Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder

Li, Chuan-Hsun; Yan, Yangqian; Feng, Shih-Wen; Choudhury, Sayan; Blasing, David B.; Zhou, Qi; Chen, Yong P.

doi:10.1103/prxquantum.3.010316

Title: Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder

Journal Article · 30 January 2022 · PRX Quantum

DOI: https://doi.org/10.1103/prxquantum.3.010316 · OSTI ID:1982851

^[1];

^[2]; Feng, Shih-Wen ^[1]; Choudhury, Sayan ^[1]; Blasing, David B. ^[1]; Zhou, Qi ^[1]; Chen, Yong P. ^[1]

Purdue Univ., West Lafayette, IN (United States)
Purdue Univ., West Lafayette, IN (United States); The Chinese University of Hong Kong, New Territories (Hong Kong)

The interplay between matter particles and gauge fields in physical spaces with nontrivial geometries can lead to novel topological quantum matter. However, detailed microscopic mechanisms are often obscure, and unconventional spaces are generally challenging to construct in solids. Highly controllable atomic systems can quantum simulate such physics, even those inaccessible in other platforms. Here, we realize a Bose-Einstein condensate (BEC) on a synthetic cylindrical surface subject to a net radial synthetic magnetic flux. We observe a symmetry-protected topological band structure emerging on this Hall cylinder but disappearing in the planar counterpart. BEC’s transport observed as Bloch oscillations in the band structure is analogous to traveling on a Möbius strip in the momentum space, revealing topological band crossings protected by a nonsymmorphic symmetry. We demonstrate that breaking this symmetry induces a topological transition manifested as gap opening at band crossings, and further manipulate the band structure and BEC’s transport by controlling the axial synthetic magnetic flux. Our work opens the door for using atomic quantum simulators to explore intriguing topological phenomena intrinsic in unconventional spaces.

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Research Organization:: National Quantum Information Science (QIS) Research Centers (United States). The Quantum Science Center (QSC)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1982851

Journal Information:: PRX Quantum, Journal Name: PRX Quantum Journal Issue: 1 Vol. 3; ISSN 2691-3399

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Atom & ion cooling
Bose-Einstein condensates
Physics
Quantum simulation
Synthetic gauge fields
Ultracold gases

Title: Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder

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