2003/09/12 by Jeroen Wiemer, Fei Zhou
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Connection (principal bundle) #Geometric phase #Geometry #Magnetic field #Magnetic monopole #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Topological Materials and Phenomena #cond-mat
paper · pdf · doi:10.1103/physrevb.70.115110
arxiv created 2003/09/12 · openalex publication_date 2004/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study Berry's connection potentials of many-body ground states of spin-one bosons with antiferromagnetic interactions in adiabatically varying magnetic fields. We find that Berry's connection potentials are generally determined by, instead of usual singular monopoles, linearly positioned monosegments each of which carries one unit of topological charge; in the absence of a magnetic field gradient this distribution of monosegments becomes a linear chain of monopoles. Consequently, Berry's phases consist of a series of step functions of magnetic fields; a magnetic field gradient causes rounding of these step functions. We also calculate Berry's connection fields, profiles of monosegments, and show that the total topological charge is conserved in a parameter space.