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Article overview
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Non-local order in Mott insulators, Duality and Wilson Loops | Steffen Patrick Rath
; Wolfgang Simeth
; Manuel Endres
; Wilhelm Zwerger
; | Date: |
4 Feb 2013 | Abstract: | It is shown that the Mott insulating and superfluid phases of bosons in an
optical lattice may be distinguished by a non-local ’parity order parameter’
which is directly accessible via single site resolution imaging. In one
dimension, the lattice Bose model is dual to a classical interface roughening
problem. We use known exact results from the latter to prove that the parity
order parameter exhibits long range order in the Mott insulating phase,
consistent with recent experiments by Endres et al. [Science 334, 200 (2011)].
In two spatial dimensions, the parity order parameter can be expressed in terms
of an equal time Wilson loop of a non-trivial U(1) gauge theory in 2+1
dimensions which exhibits a transition between a Coulomb and a confining phase.
The negative logarithm of the parity order parameter obeys a perimeter law in
the Mott insulator and is enhanced by a logarithmic factor in the superfluid. | Source: | arXiv, 1302.0693 | Services: | Forum | Review | PDF | Favorites |
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