Abstract

We propose a controllable double-well magneto-optic trap (MOT) for neutral atoms that uses a circular current-carrying wire and a biased magnetic field. One can cause the proposed double-well trap to evolve continually into a single-well trap by reducing the current in the wire or increasing the bias field. We estimate that in a weak intensity approximation a cold atomic sample with a temperature of 300K and a number of 106 atoms can be stored in each MOT. One can control the number of trapped atoms by changing the current in the wire.

© 2005 Optical Society of America

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  1. E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
    [CrossRef] [PubMed]
  2. J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
    [CrossRef]
  3. W. Süptiz, G. Wokurka, F. Strauch, D. Kohns, and W. Ertmer, Opt. Lett. 19, 1571 (1994).
    [CrossRef]
  4. G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
    [CrossRef]
  5. M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
    [CrossRef]
  6. F. Gori, Opt. Commun. 107, 335 (1994).
    [CrossRef]
  7. Y. Li, J. Mod. Opt. 50, 1957 (2003).
    [CrossRef]
  8. T. Bergeman, G. Erez, and H. J. Metcalf, Phys. Rev. A 35, 1535 (1987).
    [CrossRef] [PubMed]
  9. C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
    [CrossRef] [PubMed]
  10. P. D. Lett, W. D. Phillips, S. L. Rolston, C. E. Tanner, R. N. Watts, and C. I. Westbrook, J. Opt. Soc. Am. B 6, 2084 (1989).
    [CrossRef]
  11. R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
    [CrossRef]
  12. J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
    [CrossRef]
  13. J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
    [CrossRef]

2004 (1)

M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
[CrossRef]

2003 (1)

Y. Li, J. Mod. Opt. 50, 1957 (2003).
[CrossRef]

2002 (1)

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

2001 (1)

G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
[CrossRef]

2000 (1)

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

1999 (2)

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

1994 (2)

1990 (1)

C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
[CrossRef] [PubMed]

1989 (1)

1987 (2)

T. Bergeman, G. Erez, and H. J. Metcalf, Phys. Rev. A 35, 1535 (1987).
[CrossRef] [PubMed]

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Bagnato, V. S.

G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
[CrossRef]

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Bergeman, T.

T. Bergeman, G. Erez, and H. J. Metcalf, Phys. Rev. A 35, 1535 (1987).
[CrossRef] [PubMed]

Bigelow, N. P.

M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
[CrossRef]

Cable, A.

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Chu, S.

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Drndic, M.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

Erez, G.

T. Bergeman, G. Erez, and H. J. Metcalf, Phys. Rev. A 35, 1535 (1987).
[CrossRef] [PubMed]

Ertmer, W.

Fortagh, J.

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

Garcia, W.

G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
[CrossRef]

Gori, F.

F. Gori, Opt. Commun. 107, 335 (1994).
[CrossRef]

Grisenti, R. E.

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

Gunther, A.

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

Holmes, M. E.

M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
[CrossRef]

Johnson, K. S.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

Julienne, P. S.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Kohns, D.

Kraft, S.

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

Lett, P. D.

Li, Y.

Y. Li, J. Mod. Opt. 50, 1957 (2003).
[CrossRef]

Manson, J. R.

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

Marcassa, L. G.

G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
[CrossRef]

Metcalf, H. J.

T. Bergeman, G. Erez, and H. J. Metcalf, Phys. Rev. A 35, 1535 (1987).
[CrossRef] [PubMed]

Monroe, C.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
[CrossRef] [PubMed]

Olshanii, M.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

Ott, H.

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

Phillips, W. D.

Prentiss, M.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Pritchard, D.

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Quinto-Su, P. A.

M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
[CrossRef]

Raab, E.

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Robinson, H.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
[CrossRef] [PubMed]

Rolston, S. L.

Savas, T. A.

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

Schollkopf, W.

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

Smith, H. I.

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

Strauch, F.

Süptiz, W.

Swann, W.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
[CrossRef] [PubMed]

Tanner, C. E.

Telles, G. D.

G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
[CrossRef]

Thywissen, J. H.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

Toennies, J. P.

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

Tscherneck, M.

M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
[CrossRef]

Watts, R. N.

Weiner, J.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Westbrook, C. I.

Westervelt, R. M.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

Wieman, C.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
[CrossRef] [PubMed]

Wokurka, G.

Zabow, G.

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

Zilio, S.

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

Zimmermann, C.

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

Eur. Phys. J. D (1)

J. H. Thywissen, M. Olshanii, G. Zabow, M. Drndic, K. S. Johnson, R. M. Westervelt, and M. Prentiss, Eur. Phys. J. D 7, 361 (1999).
[CrossRef]

J. Mod. Opt. (1)

Y. Li, J. Mod. Opt. 50, 1957 (2003).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

F. Gori, Opt. Commun. 107, 335 (1994).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (5)

G. D. Telles, W. Garcia, L. G. Marcassa, and V. S. Bagnato, Phys. Rev. A 63, 033406 (2001).
[CrossRef]

M. E. Holmes, M. Tscherneck, P. A. Quinto-Su, and N. P. Bigelow, Phys. Rev. A 69, 063408 (2004).
[CrossRef]

R. E. Grisenti, W. Schollkopf, J. P. Toennies, J. R. Manson, T. A. Savas, and H. I. Smith, Phys. Rev. A 61, 033608 (2000).
[CrossRef]

T. Bergeman, G. Erez, and H. J. Metcalf, Phys. Rev. A 35, 1535 (1987).
[CrossRef] [PubMed]

J. Fortagh, H. Ott, S. Kraft, A. Gunther, and C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002).
[CrossRef]

Phys. Rev. Lett. (2)

C. Monroe, W. Swann, H. Robinson, and C. Wieman, Phys. Rev. Lett. 65, 1571 (1990).
[CrossRef] [PubMed]

E. Raab, M. Prentiss, A. Cable, S. Chu, and D. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Schematic of a double-well MOT for neutral atoms as described in the text.

Fig. 2
Fig. 2

(a) Magnetic field contours from the wire layout of a double-well MOT as shown in Fig. 1 on the x 0 z plane for I = 10 A , where the zero B-field values are represented by the white zone and the interval of contours is 1.0 G . (b) Relationship between current I in the wire and the well’s central position, Z 0 .

Fig. 3
Fig. 3

Spatial distributions of magnetic fields (solid curves) and their gradients (dashed–dotted curves) of each well for I = 30 A , R = 6 mm , and B z 0 = 6 G .

Fig. 4
Fig. 4

Relationship between the number of atoms in each MOT and the current in the wire for R = 3 , 6, 8 mm and B z 0 = 6 G .

Equations (7)

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B Z = { μ 0 I 2 π [ ( R + ρ ) 2 + z 2 ] 1 2 [ R 2 ρ 2 z 2 ( R ρ ) 2 + z 2 E ( k 2 ) + K ( k 2 ) ] B Z 0 } z ,
B ρ = μ 0 I z 2 π ρ [ ( R + ρ ) 2 + z 2 ] 1 2 [ R 2 + ρ 2 z 2 ( R ρ ) 2 + z 2 E ( k 2 ) K ( k 2 ) ] ρ ,
z 0 = ± [ ( μ 0 I R 2 2 B Z 0 ) 2 3 R 2 ] 1 2 ,
N = ( 1 6 ) ( V 2 3 σ ) v c 4 ( m 2 k B T 0 ) 2 ,
B μ 0 I 2 R ( 3 z R 2 + 15 z 3 2 R 4 ) z + μ 0 I 2 R ( 3 z R 2 15 z 3 4 R 4 ) ρ .
N = N 0 { 1 2 + ( a R ) [ 1 exp ( b I ) ] } ,
k B T = Γ 4 1 + 2 q ( I I s ) + ( 2 δ Γ ) 2 2 δ Γ ,

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