Spin-1 Topological Monopoles in Parameter Space of Ultracold Atoms

Abstract

Magnetic monopole, a hypothetical elementary particle with isolated magnetic pole, is crucial for the quantization of electric charge. In recent years, analogues of magnetic monopoles, represented by topological defects in parameter spaces, have been studied in a wide range of physical systems. These works mainly focused on Abelian Dirac monopoles in spin-1/2 or non-Abelian Yang monopoles in spin-3/2 systems. Here we propose to realize three types of spin-1 topological monopoles and study their geometric properties using the parameter space formed by three hyperfine states of ultracold atoms coupled by radio-frequency fields. These spin-1 monopoles, characterized by different monopole charges, possess distinct Berry curvature fields and spin textures, which are directly measurable in experiments. The topological phase transitions between different monopoles are accompanied by the emergence of spin "vortex", and can be intuitively visualized using Majorana's stellar representation. We show how to determine the Berry curvature, hence the geometric phase and monopole charge from dynamical effects. Our scheme provides a simple and highly tunable platform for observing and manipulating spin-1 topological monopoles, paving the way for exploring new topological quantum matter.

8 pages, 6 figures

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Cited by in corpus (14)

• Revealing tensor monopoles through quantum-metric measurements
• Berry Curvature and Quantum Metric in $N$-band systems -- an Eigenprojector Approach
• Photonic Dirac monopoles and skyrmions: spin-1 quantization
• Non-local topological electromagnetic phases of matter
• Non-Abelian tensor Berry connections in multi-band topological systems
• Topological metal bands with double-triple-point fermions in optical lattices
• Observation of spin-tensor induced topological phase transitions of triply degenerate points with a trapped ion
• Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
• Topological phonons in arrays of ultracold dipolar particles
• Triply degenerate nodal lines in topological and non-topological metals
• SU(3) fermions in a three-band Graphene-like model
• Effective Spin-2 Quasi-particles at Linear Dispersive Five-fold Degenerate Points with Tunable Topological Chern Numbers
• Robust Weyl points in a 1D superlattice with transverse spin-orbit coupling
• Invariant Vector and Majorana Star Representations of Qutrit States