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Hidden order in 1D Bose insulators

Emanuele G. Dalla Torre·Erez Berg·Ehud Altman
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Abstract

We investigate the phase diagram of spinless bosons with long range (~ 1/r^3) repulsive interactions, relevant to ultracold polarized atoms or molecules, using DMRG. Between the two conventional insulating phases, the Mott and density wave phases, we find a new phase possessing hidden order revealed by non local string correlations analogous to those characterizing the Haldane gapped phase of integer spin chains. We develop a mean field theory that describes the low energy excitations in all three insulating phases. This is used to calculate the absorption spectrum due to oscillatory lattice modulation. We predict a sharp resonance in the spectrum due to a collective excitation of the new phase that would provide clear evidence for the existence of this phase.

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Emanuele G. Dalla Torre, Erez Berg, Ehud Altman. 2007-01-01. Hidden order in 1D Bose insulators. https://doi.org/10.1103/physrevlett.97.260401

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