Hidden order in 1D Bose insulators

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.

Letter

References in corpus (3)

• Observation of dipole-dipole interaction in a degenerate quantum gas
• Quo vadis, cold molecules? - Editorial review
• Density wave and supersolid phases of correlated bosons in an optical lattice

Cited by in corpus (4)

• Rise and fall of hidden string order of lattice bosons
• Quantum Phase Diagram and Excitations for the One-Dimensional S=1 Heisenberg Antiferromagnet with Single-Ion Anisotropy
• Adiabatic nonlinear probes of one-dimensional Bose gases
• Structure and melting behavior of classical bilayer crystals of dipoles