Details
| Original language | English |
|---|---|
| Article number | 085138 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 84 |
| Issue number | 8 |
| Publication status | Published - 30 Aug 2011 |
Abstract
The entanglement spectrum provides crucial information about correlated quantum systems. We show that the study of the blocklike nature of the reduced density matrix in number sectors and the partition dependence of the spectrum in finite systems leads to interesting unexpected insights, which we illustrate for the case of a one-dimensional extended Hubbard model. We show that block symmetry provides an intuitive understanding of the spectral double degeneracy of the Haldane insulator, which is remarkably maintained at low on-site interaction, where triple or higher site occupation is significant and particle-hole symmetry is broken. Moreover, surprisingly, the partition dependence of the spectral degeneracy in the Haldane insulator, and of a partial degeneracy in the Mott insulator, is directly linked to the, in principle unrelated, density-density correlations, and presents an intriguing periodic behavior in superfluid and supersolid phases.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B - Condensed Matter and Materials Physics, Vol. 84, No. 8, 085138, 30.08.2011.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Entanglement spectrum of one-dimensional extended Bose-Hubbard models
AU - Deng, Xiaolong
AU - Santos, Luis
PY - 2011/8/30
Y1 - 2011/8/30
N2 - The entanglement spectrum provides crucial information about correlated quantum systems. We show that the study of the blocklike nature of the reduced density matrix in number sectors and the partition dependence of the spectrum in finite systems leads to interesting unexpected insights, which we illustrate for the case of a one-dimensional extended Hubbard model. We show that block symmetry provides an intuitive understanding of the spectral double degeneracy of the Haldane insulator, which is remarkably maintained at low on-site interaction, where triple or higher site occupation is significant and particle-hole symmetry is broken. Moreover, surprisingly, the partition dependence of the spectral degeneracy in the Haldane insulator, and of a partial degeneracy in the Mott insulator, is directly linked to the, in principle unrelated, density-density correlations, and presents an intriguing periodic behavior in superfluid and supersolid phases.
AB - The entanglement spectrum provides crucial information about correlated quantum systems. We show that the study of the blocklike nature of the reduced density matrix in number sectors and the partition dependence of the spectrum in finite systems leads to interesting unexpected insights, which we illustrate for the case of a one-dimensional extended Hubbard model. We show that block symmetry provides an intuitive understanding of the spectral double degeneracy of the Haldane insulator, which is remarkably maintained at low on-site interaction, where triple or higher site occupation is significant and particle-hole symmetry is broken. Moreover, surprisingly, the partition dependence of the spectral degeneracy in the Haldane insulator, and of a partial degeneracy in the Mott insulator, is directly linked to the, in principle unrelated, density-density correlations, and presents an intriguing periodic behavior in superfluid and supersolid phases.
UR - http://www.scopus.com/inward/record.url?scp=80052494270&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.84.085138
DO - 10.1103/PhysRevB.84.085138
M3 - Article
AN - SCOPUS:80052494270
VL - 84
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 1098-0121
IS - 8
M1 - 085138
ER -