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arXiv · 1403.2952

Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice

L. de Forges de Parny·H-Y. Yang·F. Mila
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Abstract

We investigate the structure of the spectrum of antiferromagnetically coupled spin-1 bosons on a square lattice using degenerate perturbation theory and exact diagonalizations of finite clusters. We show that the superfluid phase develops an Anderson tower of states typical of nematic long-range order with broken SU(2) symmetry.We further show that this order persists into the Mott insulating phase down to zero hopping for one boson per site, and down to a critical hopping for two bosons per site, in agreement with mean-field and Quantum Monte Carlo results. The connection with the transition between a fragmented condensate and a polar one in a single trap is briefly discussed.

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L. de Forges de Parny, H-Y. Yang, F. Mila. 2014-06-01. Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice. https://doi.org/10.1103/physrevlett.113.200402

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