Spin Singlet Mott States and Evidence For Spin Singlet Quantum Condensates of Spin-One Bosons in Lattices
arXiv:cond-mat/0306697 · doi:10.1016/j.aop.2003.08.009
Abstract
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.
26 pages, 11 figures; final version; to appear in Annals of Physics
References in corpus (4)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
- Quantum Hall states and boson triplet condensate for rotating spin-1 bosons
- Spin-one bosons in low dimensional Mott insulating states
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