Electrostatic Trap Suitable for Construction of Lattices with Opened Optical Access

Shengqiang Li; Mengzhi Zhang; Liangliang Yang

doi:10.3788/AOS201737.1202001

Journals >Acta Optica Sinica >Volume 37 >Issue 12 >Page 1202001 > Article

Acta Optica Sinica
Vol. 37, Issue 12, 1202001 (2017)

Electrostatic Trap Suitable for Construction of Lattices with Opened Optical Access

Shengqiang Li^*, Mengzhi Zhang, and Liangliang Yang

Author Affiliations

School of New Energy and Electronic Engineering, Yancheng Teachers University, Yancheng, Jiangsu 224007, China

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DOI: 10.3788/AOS201737.1202001 Cite this Article Set citation alerts

Shengqiang Li, Mengzhi Zhang, Liangliang Yang. Electrostatic Trap Suitable for Construction of Lattices with Opened Optical Access[J]. Acta Optica Sinica, 2017, 37(12): 1202001 Copy Citation Text

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Fig. 1. (a) Schematic for trapping molecules using three charged spherical electrodes; (b) schematic of the image method

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Analytical solutions and numerical solutions of contour distributions of trapping field at YOZ, XOZ and XOY planes. (a)(d) YOZ plane; (b)(e) XOZ plane; (c)(f) XOY plane

Fig. 2. Analytical solutions and numerical solutions of contour distributions of trapping field at YOZ, XOZ and XOY planes. (a)(d) YOZ plane; (b)(e) XOZ plane; (c)(f) XOY plane

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Fig. 3. Relationship between position of trap center and voltage U2

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Fig. 4. Electric field distributions in Z direction and Stark potential for ND3 molecules in state (|J,K,M>=|1,1,-1>). (a) Loading; (b) trapping

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Fig. 5. Relationship between loading efficiency and loading time under different velocities of incident molecular beam

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Fig. 6. Relationship between loading efficiency and center velocity of incident molecular beam

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Fig. 7. Velocity distributions of incident molecular beam before loading process and the trapped cold molecules. (a) VX; (b) VY; (c) VZ

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Fig. 8. Schematic for trapping molecules on a chip with three charged spherical electrodes

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Fig. 9. Contour distributions of trapping field. (a) YOZ plane; (b) XOZ plane; (c) XOY plane

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Fig. 10. Schematic for trapping molecules on a chip with a series of three charged spherical electrodes (one-dimensional electrostatic lattice)

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Fig. 11. Contour distributions of trapping field at two different locations [marked with dashed box in Fig. 9(a)]. (a)(d) XOZ plane; (b)(e) XOY plane; (c)(f) YOZ plane

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Fig. 12. Schematic for electrostatic trapping of cold molecules on a chip with a series of three charged spherical electrodes (two-dimensional electrostatic lattice)

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Fig. 13. Top view of two-dimensional electrostatic lattice

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Fig. 14. Contour distributions of electric field in three different locations (marked with dashed box in Fig. 13) . (a) XOZ plane; (b) XOY plane; (c) YOZ plane

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Charge	Expression	Coordinate
Q₁	q+ $\begin{matrix} \frac{r}{2 d} \end{matrix}$ q+ $\begin{matrix} \frac{r}{\sqrt[]{2} d} \end{matrix}$ q'	$\begin{matrix} (\begin{matrix} 0, & - d, & 0 \end{matrix}) \end{matrix}$
Q₂	q+ $\begin{matrix} \frac{r}{2 d} \end{matrix}$ q+ $\begin{matrix} \frac{r}{\sqrt[]{2} d} \end{matrix}$ q'	$\begin{matrix} (\begin{matrix} 0, & d, & 0 \end{matrix}) \end{matrix}$
Q₃	- $\begin{matrix} \frac{r}{2 d} \end{matrix}$ q	$\begin{matrix} (\begin{matrix} 0, & d - r^{2} / (2 d), & 0 \end{matrix}) \end{matrix}$
Q₄	- $\begin{matrix} \frac{r}{2 d} \end{matrix}$ q	$\begin{matrix} (\begin{matrix} 0, & - d + r^{2} / (2 d), & 0 \end{matrix}) \end{matrix}$
Q₅	$\begin{matrix} \frac{r^{2} q}{2 d \sqrt[]{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}} \end{matrix}$	$\begin{matrix} [0, - \frac{r^{2} (d - \frac{r^{2}}{2 d})}{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}, - d + \frac{r^{2} d}{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}] \end{matrix}$
Q₆	- $\begin{matrix} \frac{r}{\sqrt[]{2} d} \end{matrix} \begin{matrix} (q + \frac{r}{2 d} q + \frac{r}{\sqrt[]{2} d} q') \end{matrix}$	$\begin{matrix} (0, - \frac{r^{2}}{2 d}, - d + \frac{r^{2}}{2 d}) \end{matrix}$
Q₇	$\begin{matrix} \frac{r^{2} q}{2 d \sqrt[]{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}} \end{matrix}$	$\begin{matrix} [0, \frac{r^{2} (d - \frac{r^{2}}{2 d})}{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}, - d + \frac{r^{2} d}{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}] \end{matrix}$
Q₈	- $\begin{matrix} \frac{r}{\sqrt[]{2} d} \end{matrix} \begin{matrix} (q + \frac{r}{2 d} q + \frac{r}{\sqrt[]{2} d} q') \end{matrix}$	$\begin{matrix} (0, \frac{r^{2}}{2 d}, - d + \frac{r^{2}}{2 d}) \end{matrix}$
Q₉	q'+ $\begin{matrix} \frac{2 r}{\sqrt[]{2} d} \end{matrix} \begin{matrix} (q + \frac{r}{2 d} q + \frac{r}{\sqrt[]{2} d} q') \end{matrix}$ - $\begin{matrix} \frac{r^{2} q}{d \sqrt[]{{(d - \frac{r^{2}}{2 d})}^{2} + d^{2}}} \end{matrix}$
Q₁₀	- $\begin{matrix} \frac{r}{\sqrt[]{2} d} \end{matrix}$ q'	$\begin{matrix} (0, - d + \frac{r^{2}}{2 d}, - \frac{r^{2}}{2 d}) \end{matrix}$
Q₁₁	- $\begin{matrix} \frac{r}{\sqrt[]{2} d} \end{matrix}$ q'	$\begin{matrix} (0, d - \frac{r^{2}}{2 d}, - \frac{r^{2}}{2 d}) \end{matrix}$

Table 1. Charges and coordinates

Shengqiang Li, Mengzhi Zhang, Liangliang Yang. Electrostatic Trap Suitable for Construction of Lattices with Opened Optical Access[J]. Acta Optica Sinica, 2017, 37(12): 1202001

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