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Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms

2018/01/31 by Bharath Hebbe Madhusudhana, H. M. Bharath, Matthew Boguslawski +4
Computer Science · Physics and Astronomy · #Bloch sphere #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Geometric phase #Phase (matter) #Phase space #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Spin (aerodynamics) #Ultracold atom #cond-mat.quant-gas #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physrevlett.123.173202

published as Phys. Rev. Lett. 123, 173202 (2019) · 13 pages, 7 figures

arxiv created 2019/04/10 · openalex publication_date 2019/10/24 · arxiv updated 2019/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The spin vector of a spin-1 system, unlike that of a spin-1/2 system, can lie anywhere on or inside the Bloch sphere representing the phase space. As a consequence, the geometrical and topological properties of the spin-1 phase space of quantum states are richer and require a generalization of Berry's phase. For special trajectories passing through the center of the Bloch sphere (singular loops), the geometric phase has a non-Abelian nature. Here, we experimentally explore this geometric phase for singular loops in a spin-1 quantum system using ultracold 87Rb atoms confined in an optical trap using microwave and rf control fields.

Citations