Abstract

We investigate waveguiding of ultraslow light pulses in an atomic Bose–Einstein condensate. We show that under the conditions of off-resonant electromagnetically induced transparency, waveguiding with a few ultraslow modes can be realized. The number of modes that can be supported by the condensate can be controlled by means of experimentally accessible parameters. Propagation constants and the mode conditions are determined analytically using a Wentzel–Kramers–Brillouin analysis. Mode profiles are found numerically.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
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2005

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef] [PubMed]

J. Cheng, S. Han, and Y. Yan, Phys. Rev. A 72, 021801(R) (2005).
[CrossRef]

M. Vengalattore and M. Prentiss, Phys. Rev. Lett. 95, 243601 (2005).
[CrossRef] [PubMed]

2002

L.-M. Duan, J. I. Cirac, and P. Zoller, Phys. Rev. A 66, 023818 (2002).
[CrossRef]

2001

Ö. Müstecapliõglu and L. You, Opt. Lett. 193, 301 (2001).

Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science 293, 663 (2001).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

2000

G. Morigi and G. Agarwal, Phys. Rev. A 62, 013801 (2000).
[CrossRef]

1999

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

1998

M. Naraschewski and D. M. Stamper-Kurn, Phys. Rev. A 58, 2423 (1998).
[CrossRef]

1997

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

1971

Agarwal, G.

G. Morigi and G. Agarwal, Phys. Rev. A 62, 013801 (2000).
[CrossRef]

André, A.

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef] [PubMed]

Bajcsy, M.

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef] [PubMed]

Behroozi, C. H.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Budde, M.

Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science 293, 663 (2001).
[CrossRef] [PubMed]

Cheng, J.

J. Cheng, S. Han, and Y. Yan, Phys. Rev. A 72, 021801(R) (2005).
[CrossRef]

Cirac, J. I.

L.-M. Duan, J. I. Cirac, and P. Zoller, Phys. Rev. A 66, 023818 (2002).
[CrossRef]

Duan, L.-M.

L.-M. Duan, J. I. Cirac, and P. Zoller, Phys. Rev. A 66, 023818 (2002).
[CrossRef]

Dutton, Z.

Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science 293, 663 (2001).
[CrossRef] [PubMed]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

Gloge, D.

Han, S.

J. Cheng, S. Han, and Y. Yan, Phys. Rev. A 72, 021801(R) (2005).
[CrossRef]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Hau, L. V.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science 293, 663 (2001).
[CrossRef] [PubMed]

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

Liu, C.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Lukin, M. D.

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

Mair, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

Morigi, G.

G. Morigi and G. Agarwal, Phys. Rev. A 62, 013801 (2000).
[CrossRef]

Müstecaplio~glu, Ö.

Ö. Müstecapliõglu and L. You, Opt. Lett. 193, 301 (2001).

Naraschewski, M.

M. Naraschewski and D. M. Stamper-Kurn, Phys. Rev. A 58, 2423 (1998).
[CrossRef]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

Prentiss, M.

M. Vengalattore and M. Prentiss, Phys. Rev. Lett. 95, 243601 (2005).
[CrossRef] [PubMed]

Slowe, C.

Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science 293, 663 (2001).
[CrossRef] [PubMed]

Stamper-Kurn, D. M.

M. Naraschewski and D. M. Stamper-Kurn, Phys. Rev. A 58, 2423 (1998).
[CrossRef]

Vengalattore, M.

M. Vengalattore and M. Prentiss, Phys. Rev. Lett. 95, 243601 (2005).
[CrossRef] [PubMed]

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

Yan, Y.

J. Cheng, S. Han, and Y. Yan, Phys. Rev. A 72, 021801(R) (2005).
[CrossRef]

You, L.

Ö. Müstecapliõglu and L. You, Opt. Lett. 193, 301 (2001).

Zibrov, A. S.

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef] [PubMed]

Zoller, P.

L.-M. Duan, J. I. Cirac, and P. Zoller, Phys. Rev. A 66, 023818 (2002).
[CrossRef]

Appl. Opt.

Nature

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature 397, 594 (1999).
[CrossRef]

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Opt. Lett.

Ö. Müstecapliõglu and L. You, Opt. Lett. 193, 301 (2001).

Phys. Rev. A

G. Morigi and G. Agarwal, Phys. Rev. A 62, 013801 (2000).
[CrossRef]

J. Cheng, S. Han, and Y. Yan, Phys. Rev. A 72, 021801(R) (2005).
[CrossRef]

L.-M. Duan, J. I. Cirac, and P. Zoller, Phys. Rev. A 66, 023818 (2002).
[CrossRef]

M. Naraschewski and D. M. Stamper-Kurn, Phys. Rev. A 58, 2423 (1998).
[CrossRef]

Phys. Rev. Lett.

M. Vengalattore and M. Prentiss, Phys. Rev. Lett. 95, 243601 (2005).
[CrossRef] [PubMed]

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783786 (2001).
[CrossRef]

Phys. Today

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Science

Z. Dutton, M. Budde, C. Slowe, and L. V. Hau, Science 293, 663 (2001).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Dependence of the group velocity on K = ( l + 2 m + 1 ) at T = 42 nK ( T c = 424 nK ) . Parameters are given in the text. For the single-mode condition group velocity is 30.8 m s .

Fig. 2
Fig. 2

Temperature dependence of V is plotted from T = 42 to 398.7 nK ( T c = 424 nK ) . V is related to K via K V 2 .

Fig. 3
Fig. 3

Radial profiles of transverse modes LP 00 (solid curve) and LP 10 (dotted curve) confined in a BEC of Na 23 atoms with parameters given in the text.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

χ 1 = μ 2 ϵ 0 i ( i Δ + Γ 2 2 ) [ ( Γ 2 2 i Δ ) ( Γ 3 2 i Δ ) + Ω c 2 4 ] ,
n ( r ) = { n 1 [ 1 A ( r R ) 2 ] 1 2 , r R 1 , r R } ,
[ d 2 d r 2 + 1 r d d r + k 0 2 n 2 ( r ) β 2 l 2 r 2 ] ψ ( r ) = 0 .
r 1 r 2 [ k 0 2 n 2 ( r ) β l m 2 l 2 r 2 ] 1 2 d r = ( m + 1 2 ) π ,
β l m = n 1 k 0 ( 1 2 A n 1 k 0 R K ) 1 2 ,
1 v g = d β d ω = ω c ( n l m n 1 n 1 ω + n l m ω ) + n l m c .
v g = c 1 + ω n l m n 1 n 1 ω .

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