Controlled collisions of a single atom and an ion guided by movable trapping potentials

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 3, 2007, Pages

  Idziaszek, Zbigniew ^a,b   Calarco, Tommaso ^c,d   Zoller, Peter ^e  

^a CNR   (Italy)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

^c ECT   (Italy)

^d HARVARD UNIVERSITY   (United States)

^e UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

DEFECTS; ELECTRIC DIPOLE MOMENTS; ONE DIMENSIONAL; QUANTUM THEORY; SCATTERING PARAMETERS; SPECTROSCOPIC ANALYSIS;

ION CHARGE; QUANTUM-DEFECT THEORY; SHORT-RANGE PARAMETERS;

ELECTRON TRAPS;

EID: 34548861220     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.033409     Document Type: Article

References (28)

1. N. Schlosser, G. Reymond, I. E. Protsenko, and P. Grangier, Nature (London) NATUAS 0028-0836 10.1038/35082512 411, 1024 (2001).
2. Y. Miroshnychenko, W. Alt, I. Dotsenko, L. Förster, M. Khudaverdyan, D. Meschede, D. Schrader, and A. Rauschenbeutel, Nature (London) NATUAS 0028-0836 10.1038/442151a 442, 151 (2006).
3. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
4. R. Folman, P. Krüger, J. Schmiedmayer, J. Denschlag, and C. Henkel, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 10.1007/s003400200861 48, 263 (2002)
5. R. Dumke, M. Volk, T. Müther, F. B. J. Buchkremer, G. Birkl, and W. Ertmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.097903 89, 097903 (2002).
6. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.281 75, 281 (2003).
7. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02008 425, 937 (2003).
8. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
9. R. Stock, I. H. Deutsch, and E. L. Bolda Phys, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.183201 91, 183201 (2003).
10. For atomic states with a permanent quadrupole moment, the long-range part of the potential comes from the interaction of ion charge with the atom quadrupole moment.
11. E. Vogt and G. H. Wannier, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.1190 95, 1190 (1954).
12. T. F. O'Malley, L. Spruch, and L. Rosenberg, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703735 2, 491 (1961).
13. R. M. Spector, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704224 5, 1185 (1964).
14. D. J. Tannor, Introduction to Quantum Mechanics: A Time-Dependent Perspective (University Science Books, New York, 2006).
15. 1D solutions 10 11 are valid at all distances for k→0 (E→ ω).
16. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, 3rd ed. (Butterworth-Heinemann, Oxford, 2003).
17. C. Zener, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1932.0165 137, 696 (1932).
18. A. Auerbach and S. Kivelson, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(85)90377-3 257, 799 (1985).
19. c.m. and relative motions can be decoupled in the lowest order when the size of the molecule is much smaller than the harmonic oscillator lengths li and la.
20. At least for the internal states with the total angular momentum J=1 2.
21. Z. Idziaszek, T. Calarco, and P. Zoller (unpublished).
22. D. Blume and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043613 65, 043613 (2002).
23. E. L. Bolda, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013403 66, 013403 (2002).
24. Z. Idziaszek and T. Calarco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.013201 96, 013201 (2006).
25. T. Bergeman, M. G. Moore, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.163201 91, 163201 (2003).
26. Z. Idziaszek and T. Calarco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022712 74, 022712 (2006).
27. B. E. Granger and D. Blume, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.133202 92, 133202 (2004).
28. M. Abramowitz and I. E. Stegun, Handbook of Mathematical Functions, 10th ed. (Department of Commerce, Washington, DC, 1972).