Quantum phase transition of spin-2 cold bosons in an optical lattice

Journal Article · Sun Jun 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.063607· OSTI ID:20639800

Hou, Jing-Min; Ge, Mo-Lin ^[1]

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1. Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin, 300071, (China)

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{sub 0}/t (c{sub 0} is the spin-independent on-site interaction and t is the hopping matrix element between adjacent lattice sites) is decreased to a critical value and that there is a 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.

• OSTI ID: 20639800
• Journal Information: Physical Review. A, Vol. 67, Issue 6; Other Information: DOI: 10.1103/PhysRevA.67.063607; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSONS
DISTURBANCES
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
GROUND STATES
HAMILTONIANS
MATRIX ELEMENTS
PERTURBATION THEORY
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
SPIN
SUPERFLUIDITY
ZEEMAN EFFECT