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85015775531
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note
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c.
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20
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0000781489
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See, e.g., D.S. Hall, M.R. Matthews, J.R. Ensher, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 81, 1539 (1998); M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, M.J. Holland, J.E. Williams, C.E. Wieman, and E.A. Cornell, ibid. 83, 3358 (1999).
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21
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0000198915
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See, e.g., D.S. Hall, M.R. Matthews, J.R. Ensher, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 81, 1539 (1998); M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, M.J. Holland, J.E. Williams, C.E. Wieman, and E.A. Cornell, ibid. 83, 3358 (1999).
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Cornell, E.A.8
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0032472613
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4243733266
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28
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85015758127
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note
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In fact, we utilize the two-dimensional version of Eq. (24) to which the optical potential (16) is added.
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29
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14944338601
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M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999); K.W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, ibid. 84, 806 (2000); S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, ibid. 83, 5198 (1999); J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, and W.D. Phillips, Science 287, 97 (2000).
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Matthews, M.R.1
Anderson, B.P.2
Haljan, P.C.3
Hall, D.S.4
Wieman, C.E.5
Cornell, E.A.6
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30
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0347318638
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M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999); K.W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, ibid. 84, 806 (2000); S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, ibid. 83, 5198 (1999); J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, and W.D. Phillips, Science 287, 97 (2000).
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Madison, K.W.1
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31
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0000198918
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M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999); K.W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, ibid. 84, 806 (2000); S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, ibid. 83, 5198 (1999); J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, and W.D. Phillips, Science 287, 97 (2000).
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Phys. Rev. Lett.
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, pp. 5198
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Burger, S.1
Bongs, K.2
Dettmer, S.3
Ertmer, W.4
Sengstock, K.5
Sanpera, A.6
Shlyapnikov, G.V.7
Lewenstein, M.8
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32
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0034614716
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M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999); K.W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, ibid. 84, 806 (2000); S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, ibid. 83, 5198 (1999); J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, and W.D. Phillips, Science 287, 97 (2000).
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(2000)
Science
, vol.287
, pp. 97
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Denschlag, J.1
Simsarian, J.E.2
Feder, D.L.3
Clark, C.W.4
Collins, L.A.5
Cubizolles, J.6
Deng, L.7
Hagley, E.W.8
Helmerson, K.9
Reinhardt, W.P.10
Rolston, S.L.11
Schneider, B.I.12
Phillips, W.D.13
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36
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85015787793
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note
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z in the present case).
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38
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85015722634
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private communication
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M.G. Boshier (private communication).
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Boshier, M.G.1
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39
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85015772652
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note
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Since submitting this paper we have found that two-dimensional atom trapping using the techniques of Sec. V has been achieved experimentally: Yves Colombe, Hélène Perrin, Brigitte Mercier, Elena Knyazchyan and Vincent Lorent (private communication).
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