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Topological phases in spin-orbit coupled dipolar lattice bosons
Quantum Gases · Submitted 16 May 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the dipolar interaction can broaden the range of parameters of spin-orbit coupling and transverse field for exhibiting the topological phase.
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The abstract, sentence by sentence
We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. The magnetic dipolar interactions between atoms give rise to the inter-site interactions. In the Mott-insulating regime, this system can be described by the quantum XYZ spin model with the Dzyaloshinskii-Moriya interactions in a transverse field. We focus on investigating the effect of dipolar interactions on the topological phase. The topological phase can be shown when spin-orbit coupling incorporates with the repulsive dipolar interaction. We find that the dipolar interaction can broaden the range of parameters of spin-orbit coupling and transverse field for exhibiting the topological phase. The sum of spin correlations between the two nearest neighbouring atoms can be used to indicate the topological phase. This may be useful for detecting topological phases in experiments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. | contribution 0.98 | 0.86 | 0.04 | asserted 0.72 |
| s1 | The magnetic dipolar interactions between atoms give rise to the inter-site interactions. | background 0.91 | 0.13 | 0.02 | asserted 1.00 |
| s2 | In the Mott-insulating regime, this system can be described by the quantum XYZ spin model with the Dzyaloshinskii-Moriya interactions in a transverse field. | method 0.93 | 0.45 | 0.05 | asserted 0.72 |
| s3 | We focus on investigating the effect of dipolar interactions on the topological phase. | contribution 0.99 | 0.69 | 0.05 | unclear 0.59 |
| s4 | The topological phase can be shown when spin-orbit coupling incorporates with the repulsive dipolar interaction. | result 0.97 | 0.49 | 0.21 | asserted 0.94 |
| s5 | We find that the dipolar interaction can broaden the range of parameters of spin-orbit coupling and transverse field for exhibiting the topological phase. | result 1.00 | 0.94 | 0.62 | asserted 1.00 |
| s6 | The sum of spin correlations between the two nearest neighbouring atoms can be used to indicate the topological phase. | result 0.49 | 0.67 | 0.08 | asserted 0.64 |
| s7 | This may be useful for detecting topological phases in experiments. | interpretation 0.95 | 0.21 | 0.07 | hedged possibility 1.00 |
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Original abstract
We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. The magnetic dipolar interactions between atoms give rise to the inter-site interactions. In the Mott-insulating regime, this system can be described by the quantum XYZ spin model with the Dzyaloshinskii-Moriya interactions in a transverse field. We focus on investigating the effect of dipolar interactions on the topological phase. The topological phase can be shown when spin-orbit coupling incorporates with the repulsive dipolar interaction. We find that the dipolar interaction can broaden the range of parameters of spin-orbit coupling and transverse field for exhibiting the topological phase. The sum of spin correlations between the two nearest neighbouring atoms can be used to indicate the topological phase. This may be useful for detecting topological phases in experiments.
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By using the second-order perturbation theory, the effective Hamiltonian, describes the tunnel and spin-orbit couplings, is written as [ref] [equation] where $λ=2J^2/U_ab$ and $Δ=ϵ^b-ϵ^a$.
The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model · Mott-insulating regime · 0.87
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