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Title: Hidden Order in 1D Bose Insulators

Abstract

We investigate the phase diagram of spinless bosons with long range ({proportional_to}1/r{sup 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.

Authors:
;  [1];  [1];  [2]
  1. Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, 76100 (Israel)
  2. (United States)
Publication Date:
OSTI Identifier:
20861532
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 97; Journal Issue: 26; Other Information: DOI: 10.1103/PhysRevLett.97.260401; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION SPECTRA; BOSONS; COLLECTIVE EXCITATIONS; DENSITY MATRIX; MEAN-FIELD THEORY; PHASE DIAGRAMS; RENORMALIZATION; SPIN

Citation Formats

Dalla Torre, Emanuele G., Altman, Ehud, Berg, Erez, and Department of Physics, Stanford University, Stanford, California 94305-4045. Hidden Order in 1D Bose Insulators. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.97.260401.
Dalla Torre, Emanuele G., Altman, Ehud, Berg, Erez, & Department of Physics, Stanford University, Stanford, California 94305-4045. Hidden Order in 1D Bose Insulators. United States. doi:10.1103/PHYSREVLETT.97.260401.
Dalla Torre, Emanuele G., Altman, Ehud, Berg, Erez, and Department of Physics, Stanford University, Stanford, California 94305-4045. Sun . "Hidden Order in 1D Bose Insulators". United States. doi:10.1103/PHYSREVLETT.97.260401.
@article{osti_20861532,
title = {Hidden Order in 1D Bose Insulators},
author = {Dalla Torre, Emanuele G. and Altman, Ehud and Berg, Erez and Department of Physics, Stanford University, Stanford, California 94305-4045},
abstractNote = {We investigate the phase diagram of spinless bosons with long range ({proportional_to}1/r{sup 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.},
doi = {10.1103/PHYSREVLETT.97.260401},
journal = {Physical Review Letters},
number = 26,
volume = 97,
place = {United States},
year = {Sun Dec 31 00:00:00 EST 2006},
month = {Sun Dec 31 00:00:00 EST 2006}
}