Synthetic Spin-Orbit Coupling in Two-Level Cold Atoms
ZHANG Qi1,2** , GONG Jiang-Bin3,4 , OH Choo-Hiap2,5
1 International Joint Research Laboratory for Quantum Functional Materials of Henan Province and School of Physics and Engineering, Zhengzhou University, Zhengzhou 4500012 Centre of Quantum Technologies and Department of Physics, National University of Singapore, 117543, Singapore3 Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, 117542, Singapore4 NUS Graduate School for Integrative Sciences and Engineering, Singapore 117597, Singapore5 Institute of Advanced Studies, Nanyang Technological University, Singapore 639798, Singapore
Abstract :We theoretically and computationally show the simplest realization of SOC using two-level cold atoms interacting with only one laser beam. The underlying mechanism is based on the non-adiabatic nature of laser-atom interaction, with the Rabi frequency being not much larger than the kinetic energy of the atom. We use Zitterbewegung oscillation to further illustrate the effects of the synthesized SOC on the quantum dynamics of the two-level cold atoms. We expect our proposal to be of experimental interest in the quantum simulation of SOC-related physics.
收稿日期: 2013-03-22
出版日期: 2013-11-21
:
03.75.-b
32.80.Qk
(Coherent control of atomic interactions with photons)
71.70.Ej
(Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect)
[1] Lamata L, Leon J, Schatz T and Solano E 2007 Phys. Rev. Lett. 98 253005 [2] Gerritsma R et al 2010 Nature 463 68 [3] Novoselov K S et al 2004 Science 306 666 [4] Larson J and Levin S 2009 Phys. Rev. Lett. 103 013602 [5] Zhang X and Liu Z 2008 Phys. Rev. Lett. 101 264303 Dreisow F et al 2010 Phys. Rev. Lett. 105 143902 [6] Juzeliunas G et al 2008 Phys. Rev. A 77 011802(R) [7] Vaishnav J Y and Clark C W 2008 Phys. Rev. Lett. 100 153002 [8] Merkl M et al 2008 Europhys. Lett. 83 54002 [9] Wang C et al 2010 Phys. Rev. Lett. 105 160403 [10] Struck J et al 2012 Phys. Rev. Lett. 108 225304 [11] Hauke P et al 2012 Phys. Rev. Lett. 109 145301 [12] Lin Y J, Jimenez-Garcia K and Spielman I B 2011 Nature 471 83 [13] Wang P et al 2012 Phys. Rev. Lett. 109 095301 [14] Cheuk L W et al 2012 Phys. Rev. Lett. 109 095302 [15] Shortly after this manuscript was posted on 2012 arXiv:1208.3005, Refs. [13, 14] were published [16] Liu X J, Borunda M F, Liu X and Sinova J 2009 Phys. Rev. Lett. 102 046402 [17] Gong J B and Brumer P 2002 Phys. Rev. Lett. 88 203001 [18] Yang Z Y, An Y Y and Wang J X 2007 Acta Phys. Sin. 56 6420 (in Chinese) [19] Chen M L and Wang S J 2006 Acta Phys. Sin. 55 4638 (in Chinese) [20] Ma X G et al 2006 Acta Phys. Sin. 55 3393 (in Chinese) Liu N H and Xu X W 2010 Chin. Phys. B 19 014210 [21] Zhao L Y and Guo H 2005 Acta Phys. Sin. 54 4723 (in Chinese) Li G X and Tan R 2005 Acta Phys. Sin. 54 2059 (in Chinese) Yang Y P et al 2003 Acta Phys. Sin. 52 853 (in Chinese) [22] Schr?dinger E et al 1930 Physikmath. Kl. 24 418 [23] Krekora P, Su Q and Grobe R 2004 Phys. Rev. Lett. 93 043004 [24] Wilkens M, Schumacher E and Meystre P 1991 Phys. Rev. A 44 3130 Ren W and Carmichael H J 1995 Phys. Rev. A 51 752 Larson J, Salo J and Stenholm S 2005 Phys. Rev. A 72 013814 [25] Ruseckas J, Juzeliunas G, Ohberg P and Fleischhauer M 2005 Phys. Rev. Lett. 95 010404 [26] Porsev S G, Derevianko A and Fortson E N 2004 Phys. Rev. A 69 021403 [27] Zhang Q, Gong J B and Oh C H 2010 Phys. Rev. A 81 023608 [28] Zhang Q Gong J B and Oh C H 2011 Europhys. Lett. 96 10004 [29] Juzeliunas G et al 2008 Phys. Rev. Lett. 100 200405 [30] Zhang Q Gong J B and Oh C H 2009 Phys. Rev. A 79 043632
[1]
. [J]. 中国物理快报, 2014, 31(03): 30301-030301.
[2]
. [J]. 中国物理快报, 2012, 29(9): 90303-090303.
[3]
CHEN Liang;;SHE Lei;LI Jiao-Mei;GAO Ke-Lin;. Kinetic Energy of Trapped Ions Cooled by Buffer Gas [J]. 中国物理快报, 2010, 27(6): 63201-063201.
[4]
LIU Hong;HE Dai-Hai;LOU Sen-Yue;HE Xian-Tu. Bright Soliton Solutions in Degenerate Femi Gas near Feshbach Resonance [J]. 中国物理快报, 2009, 26(12): 120308-120308.
[5]
LI Hong;WANG D. N.. Dark Soliton of a Growing Bose--Einstein Condensate in an External Trap [J]. 中国物理快报, 2008, 25(11): 3864-3866.
[6]
YAN Hui;;YANG Guo-Qing;;WANG Jin;ZHAN Ming-Sheng;. Directly Trapping Atoms in a U-Shaped Magneto-Optical Trap Using a Mini Atom Chip [J]. 中国物理快报, 2008, 25(9): 3219-3222.
[7]
KE Min;YAN Bo;LI Xiao-Lin;WANG Yu-Zhu. Guiding Neutral Atoms with Two Current-Carrying Wires and a Vertical Bias Field on the Atom Chip [J]. 中国物理快报, 2008, 25(3): 907-910.
[8]
ZHANG Ai-Xia;XUE Ju-Kui. Dynamics of Bright/Dark Solitons in Bose--Einstein Condensates with Time-Dependent Scattering Length and External Potential [J]. 中国物理快报, 2008, 25(1): 39-41.
[9]
WU Xiang-Yao;ZHANG Bai-Jun;LI Hai-Bo;LU Jing-Bin;LIU Xiao-Jing;WANG Li;ZHANG Chun-Li;LIU Bing;FAN Xi-Hui;GUO Yi-Qing. Quantum Theory of Electronic Double-Slit Diffraction [J]. 中国物理快报, 2007, 24(10): 2741-2744.
[10]
WU Xiang-Yao;YANG Jing-Hai;LIU Xiao-Jing;WANG Li;LIU Bing;FAN Xi-Hui;GUO Yi-Qing. A New Approach of Quantum Mechanics for Neutron Single-Slit Diffraction [J]. 中国物理快报, 2007, 24(7): 1813-1816.
[11]
DUAN Wen-Shan; CHEN Jian-Hong; YANG Hong-Juan;SHI Yu-Ren; WANG Hong-Yan. Nonlinear Wave in a Disc-Shaped Bose--Einstein Condensate [J]. 中国物理快报, 2006, 23(8): 2000-2003.
[12]
LI Xiao-Lin;KE Min;TANG Jiu-Yao;ZHOU Shu-Yu;ZHOU Shan-Yu;WANG Yu-Zhu;. Trapping of Neutral 87 Rb Atoms on an Atomchip [J]. 中国物理快报, 2005, 22(10): 2525-2529.
[13]
ZHANG Jie-Fang;YANG Qin. Soliton Solutions in Bose--Einstein Condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential [J]. 中国物理快报, 2005, 22(8): 1855-1857.
[14]
WANG Qi-Sheng;DU Si-De;ZHOU Lu-Wei;CHEN Xiao-Shuang;BAO Liang-Hua. Detuning Effects in the One-Photon Mazer [J]. 中国物理快报, 2004, 21(9): 1749-1752.
[15]
HE Xiao-Ling;DU Si-De;ZHOU Lu-Wei;WANG Qi-Sheng;CHEN Hao. Tunnelling of Two-Level Atoms in Two-Photon Mazer: Atomic Coherence Effect and Statistics of Cavity Fields [J]. 中国物理快报, 2004, 21(1): 18-21.