Quantum scattering in quasi-one-dimensional cylindrical confinement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 4, 2005, Pages

  Kim, J I ^a   Schmiedmayer, J ^a   Schmelcher, P ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BINDING ENERGIES; QUASI-ONE-DIMENSIONAL CYLINDRICAL CONFINEMENT;

ELECTRON ENERGY LEVELS; GREEN'S FUNCTION; PHASE SHIFT; SCATTERING;

QUANTUM THEORY;

EID: 28844503201     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.042711     Document Type: Article

References (51)

1. International Technology Roadmap for Semiconductors (ITRS) Annual Reports 2005 (available at http://public.itrs.net).
2. See, e.g., Ref., section called "Emerging Research Devices".
3. J. D. Weinstein and K. G. Libbrecht, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.4004 52, 4004 (1995).
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. J. Reichel, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s003400200861 75, 469 (2002).
6. E. A. Hinds and I. G. Hughes, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/32/18/201 32, R119 (1999).
7. J. Fortágh, H. Ott, S. Kraft, A. Günther, and C. Zimmermann, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s00340-003-1107-9 76, 157 (2003).
8. Y.-J. Wang, D. Z. Anderson, V. M. Bright, E. A. Cornell, Q. Diot, T. Kishimoto, M. Prentiss, R. A. Saravanan, S. R. Segal, and S. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.090405 94, 090405 (2005).
9. R. Grimm, M. Weidemüller, and Y. B. Ovchinnikov, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 42, 95 (2000).
10. M. K. Oberthaler and T. Pfau, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/6/201 15, R233 (2003).
11. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, U.K., 1997).
12. D. K. Ferry and S. M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, U.K., 1997).
13. C. S. Chu and R. S. Sorbello, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.5941 40, 5941 (1989).
14. P. F. Bagwell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.10354 41, 10354 (1990).
15. S. A. Gurvitz and Y. B. Levinson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.10578 47, 10578 (1993).
16. J. H. Bardarson, I. Magnusdottir, G. Gudmundsdottir, C. S. Tang, A. Manolescu and V. Gudmundsson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70. 245308 70, 245308 (2004).
17. K. M. Indlekofer, J. Knoch, and J. Appenzeller, e-print cond-mat/0504746.
18. Z. Tesanovic, M. V. Jaric, and S. Maekawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.2760 57, 2760 (1986).
19. S.-I. Tomonaga, Prog. Theor. Phys. PTPKAV 0033-068X 10.1088/0022-3719/14/ 19/010 5, 544 (1950).
20. J. M. Luttinger, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704046 4, 1154 (1963).
21. J. Voit, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/58/9/002 57, 977 (1994).
22. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.050404 87, 050404 (2001).
23. A. Görlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 130402 87, 130402 (2001).
24. S. Dettmer, D. Hellweg, P. Ryytty, J. J. Arlt, W. Ertmer, K. Sengstock, D. S Petrov, G. V. Shlyapnikov, H. Kreutzmann, L. Santos, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.160406 87, 160406 (2001).
25. L. Tonks, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.50.955 50, 955 (1936).
26. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
27. A. Lenard, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1705029 7, 1268 (1966).
28. B. L. Tolra, K. M. O'Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.190401 92, 190401 (2004).
29. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004).
30. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
31. H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250402 91, 250402 (2003).
32. H. Moritz, T. Stöferle, K. Genter, M. Köhl and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.210401 94, 210401 (2005).
33. A. Boström and P. Olsson, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.329736 52, 1187 (1981).
34. S. Olsson, Q. J. Mech. Appl. Math. QJMMAV 0033-5614 47, 583 (1994).
35. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
36. M. G. Moore, T. Bergeman, and M. Olshanii, J. Phys. IV JPICEI 1155-4339 10.1051/jp4:2004116003 116, 69 (2004).
37. B. E. Granger and D. Blume, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.133202 92, 133202 (2004).
38. T. Bergeman, M. G. Moore, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.163201 91, 163201 (2003).
39. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2551 84, 2551 (2000).
40. D. S. Petrov and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.012706 64, 012706 (2001).
41. D. S. Petrov, D. M. Gangardt, and G. V. Shlyapnikov, J. Phys. IV JPICEI 1155-4339 116, 5 (2004).
42. V. Peano, M. Thorwart, C. Mora, and R. Egger, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/192 7, 192 (2005).
43. A wave-packet single-band effective-mass approximation should be assumed (see, e.g.,).
44. K. Huang, Statistical Mechanics (Wiley, New York, 1987).
45. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
46. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
47. N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions (Oxford University Press, Oxford, 1965).
48. J. H. Eberly, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1970982 33, 771 (1965).
49. H. Suno, B. D. Esry, and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.053202 90, 053202 (2003).
50. K. Kanjilal and D. Blume, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.042709 70, 042709 (2004).
51. M. D. Girardeau and M. Olshanii, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023608 70, 023608 (2004).