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Journals >Chinese Optics Letters >Volume 22 >Issue 10 >Page 101202 > Article

Chinese Optics Letters
Vol. 22, Issue 10, 101202 (2024)

Simultaneous detection of position and temperature of micromagnet using a quantum microscope | Editors' Pick

Zhenrong Shi¹, Zhonghao Li¹, Huanfei Wen¹, Hao Guo¹..., Zongmin Ma², Jun Tang^2,* and Jun Liu^1,**|Show fewer author(s)

Author Affiliations

¹School of Instrument and Electronics, North University of China, Taiyuan 030051, China

²School of Semiconductors and Physics, North University of China, Taiyuan 030051, China

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DOI: 10.3788/COL202422.101202 Cite this Article Set citation alerts

Zhenrong Shi, Zhonghao Li, Huanfei Wen, Hao Guo, Zongmin Ma, Jun Tang, Jun Liu, "Simultaneous detection of position and temperature of micromagnet using a quantum microscope," Chin. Opt. Lett. 22, 101202 (2024) Copy Citation Text

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Abstract

Micromagnets, as a promising technology for microscale manipulation and detection, have been the subject of extensive study. However, providing real-time, noninvasive feedback on the position and temperature of micromagnets in complex operational environments continues to pose a significant challenge. This paper presents a quantum imaging device utilizing diamond nitrogen-vacancy (NV) centers capable of providing simultaneous feedback on both the position and temperature of a micromagnet. The device achieves a temporal resolution of 2 s and a spatial resolution of 1.3 µm. Through flux localization analysis, we have determined a positioning accuracy within 50 µm and a temperature accuracy within 0.4 K.

Keywords

diamond nitrogen-vacancy centers micromagnet position simultaneous detection temperature

f = D + β_{T} δ_{T} \pm γ B_{NV} .

(1)

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{\begin{matrix} u_{1} = \frac{1}{\sqrt{3}} (- \sqrt{2}, 0, 1); & u_{2} = \frac{1}{\sqrt{3}} (0, \sqrt{2}, 1) \\ u_{3} = \frac{1}{\sqrt{3}} (\sqrt{2}, 0, 1); & u_{4} = \frac{1}{\sqrt{3}} (0, - \sqrt{2}, 1) \end{matrix} .

(2)

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{\begin{matrix} B_{X} = \frac{\sqrt{6}}{4} (B_{2} - B_{1}) i \\ B_{Y} = \frac{\sqrt{6}}{4} (B_{3} - B_{4}) j \\ B_{Z} = \frac{\sqrt{3}}{4} (B_{1} + B_{2} + B_{3} + B_{4}) k \end{matrix} .

(3)

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{\begin{matrix} δ_{1} = \frac{1}{2} (f_{1}^{+} - f_{1}^{-}); & δ_{2} = \frac{1}{2} (f_{2}^{+} - f_{2}^{-}) \\ δ_{3} = \frac{1}{2} (f_{3}^{+} - f_{3}^{-}); & δ_{4} = \frac{1}{2} (f_{4}^{+} - f_{4}^{-}) \end{matrix} .

(4)

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T = \frac{1}{4} (δ_{1} + δ_{2} + δ_{3} + δ_{4}) .

(5)

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e = (e_{x}, e_{y}, e_{z}) .

(6)

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{\begin{matrix} x_{k} = x_{0} + \frac{L}{n} (2 k - 1 - N) e_{x} \\ y_{k} = y_{0} + \frac{L}{n} (2 k - 1 - N) e_{y} \\ z_{k} = z_{0} + \frac{L}{n} (2 k - 1 - N) e_{z} \end{matrix} .

(7)

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B_{k} = [\begin{matrix} B_{k - x} \\ B_{k - y} \\ B_{k - z} \end{matrix}] = \frac{μ_{0} R^{3} L M}{2 n r^{5}} \cdot A .

(8)

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r = \sqrt{{(x - x_{k})}^{2} + {(y - y_{k})}^{2} + {(z - z_{k})}^{2}},

(9)

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A = [\begin{array}{l} \begin{matrix} {\begin{cases} e_{x} [2 {(x - x_{k})}^{2} - {(y - y_{k})}^{2} - {(z - z_{k})}^{2}] \\ + 3 e_{y} (x - x_{k}) (y - y_{k}) + 3 e_{z} (x - x_{k}) (z - z_{k}) \end{cases}} \end{matrix} \\ \begin{matrix} {\begin{cases} e_{y} [2 {(y - y_{k})}^{2} - {(x - x_{k})}^{2} - {(z - z_{k})}^{2}] \\ + 3 e_{x} (x - x_{k}) (y - y_{k}) + 3 e_{z} (x - x_{k}) (z - z_{k}) \end{cases}} \end{matrix} \\ \begin{matrix} {\begin{cases} e_{z} [2 {(z - z_{k})}^{2} - {(y - y_{k})}^{2} - {(x - x_{k})}^{2}] \\ + 3 e_{z} (x - x_{k}) (z - z_{k}) + 3 e_{y} (y - y_{k}) (z - z_{k}) \end{cases}} \end{matrix} \end{array}] .

(10)

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[\begin{matrix} B_{k - x} \\ B_{k - y} \\ B_{k - z} \end{matrix}] = [\begin{matrix} f_{1} (x_{k}, y_{k}, z_{k}, e_{x}, e_{y}, e_{z}) \\ f_{2} (x_{k}, y_{k}, z_{k}, e_{x}, e_{y}, e_{z}) \\ f_{3} (x_{k}, y_{k}, z_{k}, e_{x}, e_{y}, e_{z}) \end{matrix}] .

(11)

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{\begin{matrix} e_{x} = \frac{x_{Q 1} - x_{Q 2}}{‖ Q_{1} Q_{2} ‖} = \sin θ \cdot \cos φ \\ e_{y} = \frac{y_{Q 1} - y_{Q 2}}{‖ Q_{1} Q_{2} ‖} = \sin θ \cdot \sin φ \\ e_{z} = \cos θ \\ x_{0} = \frac{x_{Q 1} - x_{Q 2}}{2}; y_{0} = \frac{y_{Q 1} - y_{Q 2}}{2} \end{matrix},

(12)

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[\begin{matrix} B_{k - x} \\ B_{k - y} \\ B_{k - z} \end{matrix}] = [\begin{matrix} F_{1} (z_{k}) \\ F_{2} (z_{k}) \\ F_{3} (z_{k}) \end{matrix}] .

(13)

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B = [\begin{matrix} B_{x} \\ B_{y} \\ B_{z} \end{matrix}] = [\begin{matrix} \sum_{i = 1}^{k} F_{1} (z_{k}) \\ \sum_{i = 1}^{k} F_{2} (z_{k}) \\ \sum_{i = 1}^{k} F_{3} (z_{k}) \end{matrix}] .

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Zhenrong Shi, Zhonghao Li, Huanfei Wen, Hao Guo, Zongmin Ma, Jun Tang, Jun Liu, "Simultaneous detection of position and temperature of micromagnet using a quantum microscope," Chin. Opt. Lett. 22, 101202 (2024)

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