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Hidden Order in 1D Bose Insulators
Open accessAbstract
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.
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Cites
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Cited by
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339
Quantum simulations with ultracold atoms in optical lattices
Gross, C., & Bloch, I. (2017) · Science · doi:10.1126/science.aal3837 · Cited by 1,527
Entanglement spectrum of a topological phase in one dimension
Pollmann, F., Turner, A. M., Berg, E., & Oshikawa, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.064439 · Cited by 1,341
Self-citationOne dimensional bosons: From condensed matter systems to ultracold gases
Cazalilla, M. A., Citro, R., Giamarchi, T., Orignac, E., & Rigol, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1405 · Cited by 1,107
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Metadata
- Authors
- Dalla Torre, E. G., Berg, E., & Altman, E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-12-27
- Volume
- 97
- Issue
- 26
- Pages
- 260401-260401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2123275934
- Cited by
- 246
- References
- 1
- FWCI
- 3.65
- Type
- journal article
- Language
- en
- Open access
- green
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- Dalla Torre, E. G., Berg, E., & Altman, E. (2006). Hidden Order in 1D Bose Insulators. Physical Review Letters. https://doi.org/10.1103/physrevlett.97.260401
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
