Magic wavelength for the hydrogen 1S-2S transition: Contribution of the continuum and the reduced-mass correction

被引:10
作者
Adhikari, C. M. [1 ]
Kawasaki, A. [2 ,3 ]
Jentschura, U. D. [1 ]
机构
[1] Missouri Univ Sci & Technol, Dept Phys, Rolla, MO 65409 USA
[2] MIT, MIT Harvard Ctr Ultracold Atoms, Dept Phys, Cambridge, MA 02139 USA
[3] MIT, Elect Res Lab, Cambridge, MA 02139 USA
基金
美国国家科学基金会;
关键词
ORDER BINDING CORRECTIONS; UNIFIED TREATMENT; GREEN-FUNCTIONS; LAMB SHIFT; ATOM;
D O I
10.1103/PhysRevA.94.032510
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Recently, we studied the magic wavelength for the atomic hydrogen 1S-2S transition [A. Kawasaki, Phys. Rev. A 92, 042507 (2015)]. An explicit summation over virtual atomic states of the discrete part of the hydrogen spectrum was performed to evaluate the atomic polarizability. In this paper, we supplement the contribution of the continuum part of the spectrum and add the reduced-mass correction. The magic wavelength, at which the lowest-order ac Stark shifts of the 1S and 2S states are equal, is found to be 514.6 nm. The ac Stark shift at the magic wavelength is -221.6 Hz/(kW/cm(2)), and the slope of the ac Stark shift at the magic wavelength under a change of the driving laser frequency is -0.2157 Hz/[GHz (kW/cm(2))].
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页数:4
相关论文
共 26 条
[1]  
[Anonymous], 1953, HIGHER TRANSCENDENTA
[2]  
Bateman H, 1953, HIGHER TRANSCENDENTA, VII
[3]  
Bederson B., 2000, ADV ATOM MOL OPT PHY, V42, P95
[4]   Ultracold quantum gases in optical lattices [J].
Bloch, I .
NATURE PHYSICS, 2005, 1 (01) :23-30
[5]   ON THE THEORY OF ELASTIC COLLISIONS BETWEEN ELECTRONS AND HYDROGEN ATOMS [J].
CASTILLEJO, L ;
PERCIVAL, IC ;
SEATON, MJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 254 (1277) :259-272
[6]   Calculation of the one- and two-loop lamb shift for arbitrary excited hydrogenic states [J].
Czarnecki, A ;
Jentschura, UD ;
Pachucki, K .
PHYSICAL REVIEW LETTERS, 2005, 95 (18)
[7]   Bethe logarithms for Ps-, H-, and heliumlike atoms [J].
Drake, GWF ;
Goldman, SP .
CANADIAN JOURNAL OF PHYSICS, 1999, 77 (11) :835-845
[8]  
Edmonds AR., 1974, Angular momentum in quantum mechanics
[9]   Relativistic and radiative corrections to the Mollow spectrum [J].
Evers, J ;
Jentschura, UD ;
Keitel, CH .
PHYSICAL REVIEW A, 2004, 70 (06) :062111-1
[10]   RETARDATION IN ELASTIC SCATTERING OF PHOTONS BY ATOMIC HYDROGEN [J].
GAVRILA, M ;
COSTESCU, A .
PHYSICAL REVIEW A, 1970, 2 (05) :1752-&