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Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: a Density Matrix Renormalization Group study

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arxiv 1403.3350 v2 pith:2RMG45E2 submitted 2014-03-13 cond-mat.quant-gas

Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: a Density Matrix Renormalization Group study

classification cond-mat.quant-gas
keywords modelgaugephasesquantumsyntheticdensityfieldsgroup
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we provide a comprehensive study of the quantum magnetism in the Mott insulating phases of the 1D Bose-Hubbard model with abelian or non-abelian synthetic gauge fields, using the Density Matrix Renormalization Group (DMRG) method. We focus on the interplay between the synthetic gauge field and the asymmetry of the interactions, which give rise to a very general effective magnetic model: a XYZ model with various Dzyaloshinskii-Moriya (DM) interactions. The properties of the different quantum magnetic phases and phases transitions of this model are investigated.

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