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Topological Quantum Computing Quantum Simulation

The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice

arXiv
Authors: J. P. Kestner, Bin Wang, Jay D. Sau, S. Das Sarma

Year

2010

Paper ID

10478

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model. Fermion number conservation provides an unusual constraint that sumi \(Szi\)2 is conserved, leading to a novel topological liquid phase in one dimension which can be thought of as the gapless analog of the Haldane gapped phase of a spin-one Heisenberg chain. The properties of this phase are calculated numerically via the infinite time-evolving block decimation method and analytically via a mapping to a one-mode Luttinger liquid with hidden spin information.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1011.2490 [2] arXiv https://arxiv.org/abs/1011.2490 [3] Publisher https://arxiv.org/abs/1011.2490

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