Numerical simulation of rubidium atom dipole blockade properties

Abstract

Abstract: The influences of principle quantum number and laser power on dipole blockade effect are analyzed by calculating dipole blockade effect of Rydberg state rubidium atoms with kinetic Monte Carlo method. The dipole blockade effect is enhanced with increasing of the principle quantum number and laser power. When the laser power is high enough, atoms excited to Rydberg state tend to be saturated. Results show that the dipole blockade effect of Rydberg atoms can be controlled by selecting Rydberg states of rubidium atomic energy level and adjusting laser power. It has important applications in producing quantum bits and quantum information processing.

Key words: quantum optics; dipole blockade; Monte Carlo method; Rydberg state

CLC Number:

O562.4

References

[1]Chen Shi, Lv Hongjun, Xie Guangjun.Design and simulation of quantum circuits of B92 QKD protocol[J].（量子电子学报）, 2016, 33(01):51-55(in Chinese).
[2]Chen Yuehua, Wu Xi, Li Gang, et al.Preparation of three-dimentional multi-particle entangled state via the dipole blockade mechanism[J].（量子光子学报）, 2012, 18(2):147-151(in Chinese).
[3]Hu Yuan, Ye Zhiqing.Two-way quantum teleportation via GHZ quadriparticle entangled state[J].（量子电子学报）, 2014, 31(3):285-290(in Chinese).
[4] Tian Xuedong, Liu Yimou, Cui Cuili, et al.Population transfer and quantum entanglement implemented in cold atoms involving two Rydberg states via an adiabatic passage [J]. Phys. Rev. A, 2015, 92: 063411.
[5] Saffman M, Walker T G, M?lmer K.Quantum information with Rydberg atoms [J]. Rev. Mod. Phys., 2010, 82: 2313.
[6] Müller M, Lesanovsky I, Weimer H, et al.Rydberg Gate Based on Electromagnetically Induced Transparency [J]. Phys. Rev. Lett., 2009, 102: 170502.
[7] Saffman M, M?lmer K.Efficient Multiparticle Entanglement via Asymmetric Rydberg Blockade [J]. Phys. Rev. Lett., 2009, 102: 240502.
[8]Wang Haifeng, Zhao Yingjie.Entanglement evolution and transfer in Landau-Zener model[J].（量子电子学报）, 2015, 32(6):691-698(in Chinese).
[9] Weimer H, L?w R, Pfau T, Büchler H P Quantum Critical Behavior in Strongly Interacting Rydberg Gases [J].Phys. Rev. Lett. 2008, 101: 250601.
[10] Ates C, Pohl T, Pattard T, et al.Many-body theory of excitation dynamics in an ultracold Rydberg gas [J]. Phys. Rev. A, 2007, 76: 013413.
[11] Barredo D, Ravets S, Labuhn H, et al.Demonstration of a Strong Rydberg Blockade in Three-Atom Systems with Anisotropic Interactions [J]. Phys. Rev. Lett., 2014, 112: 183002.
[12] Dudin Y O, Li L, Bariani F, et al.Observation of coherent many-body Rabi oscillations [J]. Nature Phys., 2012, 8: 790.
[13]Han Xiaoxuan, Zhao Jianming, Li Changyong, et al.Potentials of long range cesium Rydberg molecule[J].Acta Phys. Sin., 2015, 64(13):133202-
[14] Urban E, Johnson T A, Henage T, et al.Observation of Rydberg blockade between two atoms [J]. Nature Phys., 2009, 5: 110.
[15] Jing Qian, Xing Dongzhao, Lu Zhou, et al.Anisotropic deformation of the Rydberg-blockade sphere in few-atom systems [J]. Phys. Rev. A, 2013, 88: 033422.
[16] Chotia A, Viteau M, Vogt T, et al.Kinetic Monte Carlo modeling of dipole blockade in Rydberg excitation experiment [J]. New J. Phys., 2008, 10: 045031.
[17] Vogt T, Viteau M, Zhao J M, et al.Dipole Blockade at F?rster Resonances in High Resolution Laser Excitation of Rydberg States of Cesium Atoms [J]. Phys. Rev. Lett., 2006, 97: 083003.
[18] Béguin L, Vernier A, Chicireanu R, et al.Direct Measurement of the Van der Waals Interaction between Two Rydberg Atoms [J]. Phys. Rev. Lett., 2013, 110: 263201.
[19] Zimmerman M L, Littman M G, Kash M M, et al.Stark structure of the Rydberg states of alkali-metal atoms [J]. Phys. Rev. A 1979, 20: 2251.
[20] Li W H, Mourachko I, Noel M W, et al.Millimeter-wave spectroscopy of cold Rb Rydberg atoms in a magneto-optical trap: Quantum defects of the ns, np, and nd series [J]. Phys. Rev. A 2003, 67: 052502.
[21] Han J N, Jamil Y, Norum D V L, et al.Rb nf quantum defects from millimeter-wave spectroscopy of cold 85Rb Rydberg atoms [J]. Phys. Rev. A, 2006, 74: 054502.
[22] Tong D, Farooqi S M, Stanojevic J, et al.Local Blockade of Rydberg Excitation in an Ultracold Gas [J]. Phys. Rev. Lett., 2004, 93: 063001.
[23] Singer K, Reetz-Lamour M, Amthor T, et al.Suppression of Excitation and Spectral Broadening Induced by Interactions in a Cold Gas of Rydberg Atoms [J]. Phys. Rev. Lett., 2004, 93: 163001.
[24] Beterov I I, Ryabtsev I I, Tretyakov D B, et al.Quasiclassical calculations of blackbody-radiation-induced depopulation rates and effective lifetimes of Rydberg nS, nP, and nD alkali-metal atoms with n≥80 [J]. Phys. Rev. A, 2009, 79: 052504.
[25]Cong Honglu, Ren Xuezao, Liao Xu.Quantum properties of two phonton Jaynes-Cummings model without rotating wave approximation[J].（光学学报）, 2015, 35(7):0727002(in Chinese).
[26] Petrosyan D, H?ning M, Fleischhauer M.Spatial correlations of Rydberg excitations in optically driven atomic ensembles [J]. Phys. Rev. A, 2013, 87: 053414.