2017/03/31 by Shunsuke Furukawa, Masahito Ueda · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Excited state #Magnetic field #Materials science #Mathematical physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum phase transition #Quantum phases #Singlet state #Spin (aerodynamics) #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.96.053626
published as Phys. Rev. A 96, 053626 (2017) · 13 pages, 17 figures. v2: Some changes in the result for the total filling factor 4/3
openalex created_date 2017/04/28 · arxiv created 2017/11/01 · openalex publication_date 2017/11/21 · arxiv updated 2017/11/28 · openalex updated_date 2026/08/06
We study the ground-state phase diagram of two-dimensional two-component (or pseudospin-(1)/(2)) Bose gases in a high synthetic magnetic field in the space of the total filling factor and the ratio of the intercomponent coupling g_\ensuremath\uparrow\ensuremath\downarrow to the intracomponent one g>0. Using exact diagonalization, we find that when the intercomponent coupling is attractive (g_\ensuremath\uparrow\ensuremath\downarrow<0), the product states of a pair of nearly uncorrelated quantum Hall states are remarkably robust and persist even when |g_\ensuremath\uparrow\ensuremath\downarrow| is close to g. This contrasts with the case of an intercomponent repulsion, where a variety of spin-singlet quantum Hall states with high intercomponent entanglement emerge for g_\ensuremath\uparrow\ensuremath\downarrow\ensuremath≈g. We interpret this marked dependence on the sign of g_\ensuremath\uparrow\ensuremath\downarrow in light of pseudopotentials on a sphere, and also explain recent numerical results in two-component Bose gases in mutually antiparallel magnetic fields where a qualitatively opposite dependence on the sign of g_\ensuremath\uparrow\ensuremath\downarrow is found. Our results thus unveil an intriguing connection between multicomponent quantum Hall systems and quantum spin Hall systems in minimal setups.