Topologically protected long-range coherent energy transfer

Yujing Wang; Jun Ren; Weixuan Zhang; Lu He; Xiangdong Zhang

doi:10.1364/PRJ.403279

Journals >Photonics Research >Volume 8 >Issue 11 >Page B39 > Article

Photonics Research
Vol. 8, Issue 11, B39 (2020)

Topologically protected long-range coherent energy transfer

Yujing Wang¹, Jun Ren², Weixuan Zhang¹, Lu He¹, and Xiangdong Zhang^1、*

Author Affiliations

¹Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education, School of Physics, Beijing Institute of Technology, Beijing 100081, China

²College of Physics and Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang 050024, China

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DOI: 10.1364/PRJ.403279 Cite this Article Set citation alerts

Yujing Wang, Jun Ren, Weixuan Zhang, Lu He, Xiangdong Zhang. Topologically protected long-range coherent energy transfer[J]. Photonics Research, 2020, 8(11): B39 Copy Citation Text

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Abstract

The realization of robust coherent energy transfer with a long range from a donor to an acceptor has many important applications in the field of quantum optics. However, it is hard to be realized using conventional schemes. Here, we demonstrate theoretically that robust energy transfer can be achieved using a photonic crystal platform, which includes the topologically protected edge state and zero-dimensional topological corner cavities. When the donor and the acceptor are put into a pair of separated topological cavities, the energy transfer between them can be fulfilled with the assistance of the topologically protected interface state. Such an energy transfer is robust against various kinds of defects, and can also occur over very long distances, which is very beneficial for biological detections, sensors, quantum information science, and so on.

\partial_{t} ρ = \frac{i}{ℏ} [ρ, H] + \frac{γ_{D} + 2 γ_{0}}{2} (2 σ_{D} ρ σ_{D}^{†} - σ_{D}^{†} σ_{D} ρ - ρ σ_{D}^{†} σ_{D}) + \frac{γ_{A} + 2 κ}{2} (2 σ_{A} ρ σ_{A}^{†} - σ_{A}^{†} σ_{A} ρ - ρ σ_{A}^{†} σ_{A}) + \frac{γ_{12}}{2} (2 σ_{D} ρ σ_{A}^{†} - σ_{D}^{†} σ_{A} ρ - ρ σ_{D}^{†} σ_{A}) + \frac{γ_{21}}{2} (2 σ_{A} ρ σ_{D}^{†} - σ_{A}^{†} σ_{D} ρ - ρ σ_{A}^{†} σ_{D}),

(1)

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γ_{D} = \frac{2 ω_{0}^{2}}{ε_{0} c^{2} ℏ} Im [{\vec{μ}}_{D}^{*} \cdot \overset{\leftrightarrow}{G} ({\vec{r}}_{D}, {\vec{r}}_{D}, ω) \cdot {\vec{μ}}_{D}],

(2)

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γ_{12} = \frac{2 ω_{0}^{2}}{ε_{0} c^{2} ℏ} Im [{\vec{μ}}_{A}^{*} \cdot \overset{\leftrightarrow}{G} ({\vec{r}}_{A}, {\vec{r}}_{D}, ω) \cdot {\vec{μ}}_{D}] .

(3)

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H = \sum_{i = D, A} ℏ (ω_{0} + δ_{i}) σ_{i}^{†} σ_{i} + g_{12} (σ_{D}^{†} σ_{A} + σ_{A}^{†} σ_{D}),

(4)

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g_{12} = \frac{ω_{0}^{2}}{ε_{0} ℏ c^{2}} Re [{\vec{μ}}_{A}^{*} \cdot {\overset{\leftrightarrow}{G}}^{s} ({\vec{r}}_{A}, {\vec{r}}_{D}, ω) \cdot {\vec{μ}}_{D}] .

(5)

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{\vec{n}}_{A} \cdot {\overset{\leftrightarrow}{G}}^{s} ({\vec{r}}_{A}, {\vec{r}}_{D}, ω) \cdot {\vec{n}}_{D} = - {\vec{n}}_{A} \cdot {\vec{E}}_{s} ({\vec{r}}_{A}) |_{{\vec{r}}_{D}},

(6)

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G_{z z}^{s} ({\vec{r}}_{A}, {\vec{r}}_{D}, ω) = - {\vec{E}}^{s} ({\vec{r}}_{A}) |_{{\vec{r}}_{D}} .

(7)

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η = 2 \int_{0}^{\infty} κ P_{A} (t) d t,

(8)

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t_{f} = \int_{0}^{\infty} t P_{A} (t) d t / \int_{0}^{\infty} P_{A} (t) d t .

(9)

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Yujing Wang, Jun Ren, Weixuan Zhang, Lu He, Xiangdong Zhang. Topologically protected long-range coherent energy transfer[J]. Photonics Research, 2020, 8(11): B39

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