Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice

Abstract

We study the phase diagram for spin-2 bosons loaded in a one-dimensional optical lattice. By using non-Abelian density matrix renormalization group (DMRG) method we identify three possible phases: ferromagnetic, dimerized, and trimerized phases. We sketch the phase boundaries based on DMRG. We illustrate two methods for identifying the phases. The first method is based on the spin-spin correlation function while in the second method one observes the excitation gap as a dimerization or a trimerization superlattice is imposed. The advantage of the second method is that it can also be easily implemented in experiments. By using the scattering lengths in the literature we estimate that ${}^{83}$Rb, ${}^{23}$Na, and ${}^{87}$Rb be ferromagnetic, dimerized, and trimerized respectively.

4 pages, 3 figures. Add acknowledgement

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Cited by in corpus (11)

• Parity quantum numbers in the Density Matrix Renormalization Group
• Quantum Critical Spin-2 Chain with Emergent SU(3) Symmetry
• All spin-1 topological phases in a single spin-2 chain
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Theory of Fractionally-magnetized Quantum Ferromagnet
• The case of SU$(3)$ criticality in spin-2 chains
• Matrix product states for $su(2)$ invariant quantum spin chains
• $G_2$ Integrable Point Characterization via Isotropic Spin-3 Chains
• Preparation of two-particle total hyperfine spin singlet states via spin-changing dynamics
• Dynamic response of spin-2 bosons in one-dimensional optical lattices