2014/02/28 by Shunsuke Furukawa, Masahito Ueda · 2 citations
Physics and Astronomy · #Antiparallel (mathematics) #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Ground state #Invariant (physics) #Magnetic field #Materials science #Mathematical physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.90.033602
published as Phys. Rev. A 90, 033602 (2014) · 12 pages, 14 figures. To be published in Physical Review A
arxiv created 2014/08/08 · openalex publication_date 2014/09/02 · arxiv updated 2014/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-(1)/(2)) Bose gases in mutually antiparallel synthetic magnetic fields in the space of the total filling factor and the ratio of the intercomponent coupling g_\ensuremath\uparrow\ensuremath\downarrow to the intracomponent coupling g>0. This time-reversal-invariant setting represents a bosonic analog of spin Hall systems. Using exact diagonalization, we find that (fractional) quantum spin Hall states composed of a pair of nearly independent quantum Hall states are remarkably robust and persist for g_\ensuremath\uparrow\ensuremath\downarrow up to as large as g. For g_\ensuremath\uparrow\ensuremath\downarrow=\ensuremath-g, we find the exact many-body ground state in which particles in different spin states form pairs. This gives the exact critical line beyond which the system collapses in the thermodynamic limit.