Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field

doi:10.1088/1674-1056/27/4/043202

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 43202-043202.doi: 10.1088/1674-1056/27/4/043202

• ATOMIC AND MOLECULAR PHYSICS • 上一篇下一篇

Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field

Jie Hu(胡洁), Yu Chen(陈宇), Yi-Xiu Bai(白伊秀), Pei-Song He(何培松), Qing Sun(孙青), An-Chun Ji(纪安春)

1. Department of Physics, Capital Normal University, Beijing 100048, China;
2. School of Science, Beijing Technology and Business University, Beijing 100048, China

收稿日期:2017-10-14 修回日期:2017-12-30 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Jie Hu E-mail:jie.hu@cnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 21503138, 11247324, 61405003, 11604225, 11404225, and 11474205) and the Fund from Beijing Education Committees, China (Grant No. KM201710028004).

Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field

Jie Hu(胡洁)¹, Yu Chen(陈宇)¹, Yi-Xiu Bai(白伊秀)¹, Pei-Song He(何培松)², Qing Sun(孙青)¹, An-Chun Ji(纪安春)¹

1. Department of Physics, Capital Normal University, Beijing 100048, China;
2. School of Science, Beijing Technology and Business University, Beijing 100048, China

Received:2017-10-14 Revised:2017-12-30 Online:2018-04-05 Published:2018-04-05
Contact: Jie Hu E-mail:jie.hu@cnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 21503138, 11247324, 61405003, 11604225, 11404225, and 11474205) and the Fund from Beijing Education Committees, China (Grant No. KM201710028004).

摘要/Abstract

摘要： We study the ground state energy of an atom interacting with an oscillating optical field with electric dipole and quadrupole coupling. Under the rotating wave approximation, we derive the effective atomic Hamiltonians of the dipole/quadrupole coupling term within the perturbation theory up to the second order. Based on the effective Hamiltonians, we analyze the atomic ground-state energy corrections of these two processes in detail. As an application, we find that for alkali-like atoms, the energy correction from the quadrupole coupling is negligible small in comparison with that from the dipole coupling, which justifies the so-called dipole approximation used in literatures. Some special cases where the quadrupole interaction may have considerable energy corrections are also discussed. Our results would be beneficial for the study of atom-light interaction beyond dipole approximation.

关键词: cold atom physics, quantum optics, atom-light interaction, electric quadrupole

Abstract: We study the ground state energy of an atom interacting with an oscillating optical field with electric dipole and quadrupole coupling. Under the rotating wave approximation, we derive the effective atomic Hamiltonians of the dipole/quadrupole coupling term within the perturbation theory up to the second order. Based on the effective Hamiltonians, we analyze the atomic ground-state energy corrections of these two processes in detail. As an application, we find that for alkali-like atoms, the energy correction from the quadrupole coupling is negligible small in comparison with that from the dipole coupling, which justifies the so-called dipole approximation used in literatures. Some special cases where the quadrupole interaction may have considerable energy corrections are also discussed. Our results would be beneficial for the study of atom-light interaction beyond dipole approximation.

Key words: cold atom physics, quantum optics, atom-light interaction, electric quadrupole

中图分类号: (Other topics in atomic properties and interactions of atoms with photons)

32.90.+a

42.50.-p (Quantum optics)

胡洁, 陈宇, 白伊秀, 何培松, 孙青, 纪安春. Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field[J]. 中国物理B, 2018, 27(4): 43202-043202.

Jie Hu(胡洁), Yu Chen(陈宇), Yi-Xiu Bai(白伊秀), Pei-Song He(何培松), Qing Sun(孙青), An-Chun Ji(纪安春). Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field[J]. Chin. Phys. B, 2018, 27(4): 43202-043202.

参考文献 26

[1]	Cohen-Tannoudji C, Dupont-Roc J and Grynberg G 1998 Atom-Photon Interactions (Weinheim:Wiley-VCH Verlag GmbH)
[2]	Griffiths D J 1998 Introduction to Electrodynamics, 3rd edn. (Englewood:Prentice Hall)
[3]	Cowan R D 1981 The Theory of Atomic Structure and Spectra (California:University of California Press)
[4]	Foot C J 2004 Atomic Physics (Oxford:Oxford University Press)
[5]	Madison K W, Wang Y Q, Rey A M, et al. 2013 Annual Review of Cold Atoms and Molecules (Singapore:World Scientific)
[6]	Bloch I, Dalibard J, and Nascimbéne S 2012 Nat. Phys. 8 267
[7]	Bloch I 2008 Science 319 1202
[8]	Rousseau V 2010 Phys. Rev. Lett. 104 167201
[9]	Shuman E S, Barry J F and DeMille D 2010 Nature 467 820
[10]	Wineland D J and Dehmelt H 1975 Bull. Am. Phys. Soc. 20 637
[11]	Hänsch T W and Shawlow A L 1975 Opt. Commun. 13 68
[12]	Wineland D J, Drullinger R E and Walls F L 1978 Phys. Rev. Lett. 40 1639
[13]	Zhai H 2017 Lecture Notes on Cold Atom Physics
[14]	McCarthy D and Seidelmann P K 2009 TIME from Earth Rotation to Atomic Physics (Weinheim:Wiley-VCH.)
[15]	Ludlow A D, Boyd M M, Ye J, Peik E and Schmidt P O 2015 Rev. Mod. Phys. 87 637
[16]	Taichenachev A V, Yudin V I, Ovsiannikov V D, Palćhikov V G and Oates C W 2008 Phys. Rev. Lett. 101 193601
[17]	Katori H, Takamoto M, Palćhikov V G and Ovsiannikov V D 2003 Phys. Rev. Lett. 91 173005
[18]	Jackson J D 1998 Classical Electrodynamics, 3rd edn. (New York:John Wiley and Sons, Inc.)
[19]	Goldman N, Juzeliunas G, Ohberg P and Spielman I B 2014 Rep. Prog. Phys. 77 126401
[20]	Happer W and Mathur B 1967 Phys. Rev. 163 12
[21]	Cohen-Tannoudji C and Dupont-Roc J 1972 Phys. Rev. A 5 968
[22]	Deutsch I H and Jessen P S 1998 Phys. Rev. A 57 1972
[23]	Grimm R, Weidemüller M and Ovchinnikov Y B 2000 Adv. At. Mol. Opt. Phys. 42 95
[24]	Cui X, Biao L, Ho T L, Lev B L and Zhai H 2013 Phys. Rev. A 88 011601
[25]	Shankar R 1994 Principles of Quantum mechanics, 2nd edn. (New York and London:Plenum Press)
[26]	Natarajan V 2015 Modern Atomic Physics (CRC Press)

Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field

Corrections to atomic ground state energy due to interaction between atomic electric quadrupole and optical field

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