Quantum Phase Transition of Spin-2 Cold Bosons in an Optical Lattice

Details Quantum Phase Transition of Spin-2 Cold Bosons in an Optical Lattice Quantum Phase Transition of Spin-2 Cold Bosons in an Optical Lattice

2003-04-18

arxiv.org/abs/cond-mat/0304428v2

Phys. Rev. A 67,063607 (2003)

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 6 figures

Scientific paper

10.1103/PhysRevA.67.063607

The Bose-Hubbard Hamiltonian of spin-2 cold bosons with repulsive interaction in an optical lattice is proposed. After neglecting the hopping term, the site-independent Hamiltonian and its energy eigenvalues and eigenstates are obtained. We consider the hopping term as a perturbation to do the calculations in second order and draw the phase diagrams for different cases. The phase diagrams show that there is a phase transition from Mott insulator with integer number bosons to superfluid when the ratio $c_0/t$ ($c_0$ is the spin-independent on-site interaction and $t$ the hopping matrix element between adjacent lattice sites) is decreased to a critical value and that there is different phase boundary between superfluid and Mott insulator phase for different Zeeman level component in some ground states. We find that the position of phase boundary for different Zeeman level component is related to its average population in the Mott ground state.

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