Quaternary-singlet State of Spin-1 Bosons in Optical Lattice

Physics – Condensed Matter – Quantum Gases

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arXiv admin note: text overlap with arXiv:cond-mat/0106118 by other authors

Scientific paper

We present the quantum ground state properties of $^{23}$Na spinor condensates, which is confined in a periodic or double-well potential and subject to a magnetic dipole-dipole interaction between nearby wells. A novel singlet state arise in the system and can be discussed in explicit form. Caused by the competition between the intra-site spin exchange interactions and the inter-site dipole-dipole interactions, this quaternary-singlet\ state is a entangled state formed by at lest four particles and vanish the total spin. This is distinct from the direct product of the two conventional singlet pairs.

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