Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice

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.


Published in:
Physical Review Letters, 113, 20
Year:
2014
Publisher:
College Pk, Amer Physical Soc
ISSN:
0031-9007
Laboratories:




 Record created 2015-02-20, last modified 2018-03-17


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