Angle-Dependent Magic Optical Trap for the 6<i>S</i>_1/2↔<i>n</i><i>P</i>_3/2 Rydberg Transition of Cesium Atoms

• الحاوية / القاعدة: Photonics
• المؤلفون الرئيسيون: Jiandong Bai, Xin Wang, Xiaokai Hou, Wenyuan Liu, Junmin Wang
• التنسيق: مقال
• اللغة: الإنجليزية
• منشور في: MDPI AG 2022-04-01
• الموضوعات: Rydberg atoms; dynamic polarizability; optical dipole trap; magic trapping; polarization angle
• الوصول للمادة أونلاين: https://www.mdpi.com/2304-6732/9/5/303
• تدمد: 2304-6732

The existence of an anisotropic tensor part of atomic states with an angular momentum greater than 1/2 causes their dynamic polarizabilities to be very sensitive to the polarization direction of the laser field. Therefore, the magic wavelength of the transition between two atomic states also depends on the polarization angle between the quantized axis and the polarization vector. We perform a calculation of the magic conditions of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mn>6</mn><mi>S</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>↔</mo><msub><mrow><mi>n</mi><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></semantics></math></inline-formula> (<i>n</i> = 50–90) Rydberg transition of cesium atoms by introducing an auxiliary electric diople transition connected to the target Rydberg state and a low-excited state. The magic condition is determined by the intersection of dynamic polarizabilities of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow><mn>6</mn><mi>S</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub></semantics></math></inline-formula> ground state and the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow><mi>n</mi><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></semantics></math></inline-formula> Rydberg state. The dynamic polarizability is calculated by using the sum-over-states method. Furthermore, we analyze the dependence of magic detuning on the polarization angle for a linearly polarized trapping laser and establish the relationship between magic detuning and a principal quantum number of the Rydberg state at the magic angle. The magic optical dipole trap can confine the ground-state and Rydberg-state atoms simultaneously, and the differential light shift in the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mn>6</mn><mi>S</mi></mrow><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>↔</mo><msub><mrow><mi>n</mi><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></mrow></semantics></math></inline-formula> transition can be canceled under the magic condition. It is of great significance for the application of long-lifetime high-repetition-rate accurate manipulation of Rydberg atoms on high-fidelity entanglement and quantum logic gate operation.