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Quantum Hall Effect in a Rotating Bose-Einstein Condensate: An Atomic Twin of the Electronic Brother?

2002/11/10 by Zeng-Bing Chen, Zeng‐Bing Chen, Chen, Zeng-Bing +4
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0211187

4 pages; comments welcome

arxiv created 2002/11/10 · openalex publication_date 2002/11/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We exploit the analogy with the quantum Hall (QH) effect for electrons to study the possible atomic QH states of a rapidly-rotating Bose-Einstein condensate. Actually, there is a nearly perfect map of the present problem in the QH regime to the QH physics for electrons. The profound map enables one to give a physically appealing definitions of the filling fraction and the "atomic Hall conductance" that is quantized for atomic Laughlin states. This quantization might imply an exotic fractionalization of atomic mass. We also briefly discuss an effective Chern-Simons theory for describing the atomic QH liquids where a gravitational-like field naturally emerges.

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