2003/06/30 by Fei Zhou, Michiel Snoek · 52 citations
Materials Science · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Iron-based superconductors research #Lattice (music) #Mott insulator #Physics of Superconductivity and Magnetism #Quantum #Quantum phases #Singlet state #Spin (aerodynamics) #Superfluidity #cond-mat.supr-con
paper · pdf · doi:10.1016/j.aop.2003.08.009
published in Annals of Physics 308(2), 692-738 (Elsevier BV) · 26 pages, 11 figures; final version; to appear in Annals of Physics
arxiv created 2003/09/03 · openalex publication_date 2003/09/16 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have investigated spin singlet Mott states of spin-one bosons with antiferromagnetic interactions. These spin singlet states do not break rotational symmetry and exhibit remarkably different macroscopic properties compared with nematic Mott states of spin-one bosons. We demonstrate that the dynamics of spin singlet Mott states is fully characterized by even- and odd-class quantum dimer models. The difference between spin singlet Mott states for even and odd numbers of atoms per site can be attributed to a selection rule in the low energy sectors of on-site Hilbert spaces; alternatively, it can also be attributed to an effect of Berry's phases on bosonic Mott states. We also discuss evidence for spin singlet quantum condensate of spin-one atoms. Our main finding is that in a projected spin singlet Hilbert space, the low energy physics of spin-one bosons is fully characterized by a Bose-Hubbard model of interacting spinless bosons carrying charges of Ising gauge fields; the other major finding is spin-charge separation in some one-dimensional Mott states. We propose charge-e spin singlet superfluid for an odd number of atoms per lattice site and charge-2e spin singlet superfluid for an even number of atoms per lattice site in one-dimensional lattices. All discussions in this article are limited to integer numbers of bosons per site.