Hidden Order in 1D Bose Insulators

2006/09/30 by Emanuele G. Dalla Torre, Erez Berg, Ehud Altman · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.other #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.97.260401

published as Phys. Rev. Lett. 97, 260401 (2006) · Letter

openalex publication_date 2006/12/27 · arxiv created 2007/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the phase diagram of spinless bosons with long range (variant 1/r(3)) repulsive interactions, relevant to ultracold polarized atoms or molecules, using density matrix renormalization group. Between the two conventional insulating phases, the Mott and density wave phases, we find a new phase possessing hidden order revealed by nonlocal 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.

Citations

• Editorial: Quo vadis, cold molecules?
• Quantum Phases of Dipolar Bosons in Optical Lattices
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

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