Abstract

We demonstrate a waveplate for a pseudo-spin-1/2 Bose–Einstein condensate (BEC) using a two-photon Raman interaction. The angle of the waveplate is set by the relative phase of the optical fields, and the retardance is controlled by the pulse area. The waveplate allows us to image maps of the Stokes parameters of a BEC and thereby measure its relative ground-state phase. We demonstrate the waveplate by measuring the Stokes parameters of a coreless vortex.

© 2014 Optical Society of America

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  1. J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
    [CrossRef]
  2. Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
    [CrossRef]
  3. K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 77, 041601 (2008).
    [CrossRef]
  4. L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).
  5. J. Choi, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 108, 035301 (2012).
    [CrossRef]
  6. J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
    [CrossRef]
  7. M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
    [CrossRef]
  8. P. Meystre, Atom Optics (Springer, 2001).
  9. A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009).
    [CrossRef]
  10. R. A. Beth, Phys. Rev. 50, 115 (1936).
    [CrossRef]
  11. A. H. S. Holbourn, Nature 137, 31 (1936).
    [CrossRef]
  12. U. Fano, Phys. Rev. 93, 121 (1954).
    [CrossRef]
  13. H. G. Jerrard, Opt. Laser Technol. 14, 309 (1982).
    [CrossRef]
  14. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).
  15. K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 78, 053412 (2008).
    [CrossRef]
  16. B. W. Shore, The Theory of Coherent Atomic Excitations (Wiley, 1990), Vol. 2.
  17. E. Brion, L. H. Pedersen, and K. Mølmer, J. Phys. A: Math Theor. 40, 1033 (2007).
    [CrossRef]
  18. M. P. Fewell, Opt. Commun. 253, 125 (2005).
    [CrossRef]
  19. K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
    [CrossRef]
  20. A. M. Beckley, T. G. Brown, and M. A. Alonso, Opt. Express 18, 10777 (2010).
    [CrossRef]
  21. G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
    [CrossRef]
  22. I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
    [CrossRef]
  23. A. Hansen, J. T. Schultz, and N. P. Bigelow, in The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement Meeting, OSA Technical Digest (Optical Society of America, 2013), paper M6.64.

2014 (1)

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

2013 (1)

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

2012 (1)

J. Choi, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 108, 035301 (2012).
[CrossRef]

2011 (3)

J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
[CrossRef]

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
[CrossRef]

I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
[CrossRef]

2010 (1)

2009 (4)

K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
[CrossRef]

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009).
[CrossRef]

2008 (2)

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 77, 041601 (2008).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 78, 053412 (2008).
[CrossRef]

2007 (1)

E. Brion, L. H. Pedersen, and K. Mølmer, J. Phys. A: Math Theor. 40, 1033 (2007).
[CrossRef]

2005 (1)

M. P. Fewell, Opt. Commun. 253, 125 (2005).
[CrossRef]

1982 (1)

H. G. Jerrard, Opt. Laser Technol. 14, 309 (1982).
[CrossRef]

1954 (1)

U. Fano, Phys. Rev. 93, 121 (1954).
[CrossRef]

1936 (2)

R. A. Beth, Phys. Rev. 50, 115 (1936).
[CrossRef]

A. H. S. Holbourn, Nature 137, 31 (1936).
[CrossRef]

Alfano, R. R.

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
[CrossRef]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

Alonso, M. A.

Beckley, A. M.

Beth, R. A.

R. A. Beth, Phys. Rev. 50, 115 (1936).
[CrossRef]

Bigelow, N. P.

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 78, 053412 (2008).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 77, 041601 (2008).
[CrossRef]

A. Hansen, J. T. Schultz, and N. P. Bigelow, in The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement Meeting, OSA Technical Digest (Optical Society of America, 2013), paper M6.64.

Brion, E.

E. Brion, L. H. Pedersen, and K. Mølmer, J. Phys. A: Math Theor. 40, 1033 (2007).
[CrossRef]

Brown, T. G.

Choi, J.

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

J. Choi, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 108, 035301 (2012).
[CrossRef]

Compton, R. L.

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

Cronin, A. D.

A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009).
[CrossRef]

Da Paz, I. G.

I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
[CrossRef]

Dalibard, J.

J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
[CrossRef]

de Faria, J. G. P.

I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
[CrossRef]

Deutsch, B. M.

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

Fano, U.

U. Fano, Phys. Rev. 93, 121 (1954).
[CrossRef]

Fewell, M. P.

M. P. Fewell, Opt. Commun. 253, 125 (2005).
[CrossRef]

Gerbier, F.

J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
[CrossRef]

Hall, D. S.

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

Hansen, A.

K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
[CrossRef]

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

A. Hansen, J. T. Schultz, and N. P. Bigelow, in The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement Meeting, OSA Technical Digest (Optical Society of America, 2013), paper M6.64.

Holbourn, A. H. S.

A. H. S. Holbourn, Nature 137, 31 (1936).
[CrossRef]

Jerrard, H. G.

H. G. Jerrard, Opt. Laser Technol. 14, 309 (1982).
[CrossRef]

Jiménez-Garca, K.

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

Juzeliunas, G.

J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
[CrossRef]

Kandel, S.

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

Kang, S.

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

Kwon, W. J.

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

J. Choi, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 108, 035301 (2012).
[CrossRef]

Leslie, L. S.

K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
[CrossRef]

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 78, 053412 (2008).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 77, 041601 (2008).
[CrossRef]

Lin, Y.-J.

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

Meystre, P.

P. Meystre, Atom Optics (Springer, 2001).

Milione, G.

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
[CrossRef]

Mølmer, K.

E. Brion, L. H. Pedersen, and K. Mølmer, J. Phys. A: Math Theor. 40, 1033 (2007).
[CrossRef]

Möttönen, M.

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

Nemes, M. C.

I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
[CrossRef]

Nolan, D. A.

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
[CrossRef]

Öhberg, P.

J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
[CrossRef]

Pedersen, L. H.

E. Brion, L. H. Pedersen, and K. Mølmer, J. Phys. A: Math Theor. 40, 1033 (2007).
[CrossRef]

Porto, J. V.

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

Pritchard, D. E.

A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009).
[CrossRef]

Ray, M. W.

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

Ruokokoski, E.

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

Saldanha, P. L.

I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
[CrossRef]

Schmiedmayer, J.

A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009).
[CrossRef]

Schultz, J. T.

A. Hansen, J. T. Schultz, and N. P. Bigelow, in The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement Meeting, OSA Technical Digest (Optical Society of America, 2013), paper M6.64.

Seo, S. W.

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

Shin, Y.

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

J. Choi, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 108, 035301 (2012).
[CrossRef]

Shore, B. W.

B. W. Shore, The Theory of Coherent Atomic Excitations (Wiley, 1990), Vol. 2.

Spielman, I. B.

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

Sztul, H. I.

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
[CrossRef]

Wright, K. C.

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 78, 053412 (2008).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 77, 041601 (2008).
[CrossRef]

J. Phys. A: Math Theor. (1)

E. Brion, L. H. Pedersen, and K. Mølmer, J. Phys. A: Math Theor. 40, 1033 (2007).
[CrossRef]

Nature (3)

A. H. S. Holbourn, Nature 137, 31 (1936).
[CrossRef]

Y.-J. Lin, R. L. Compton, K. Jiménez-Garca, J. V. Porto, and I. B. Spielman, Nature 462, 628 (2009).
[CrossRef]

M. W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, and D. S. Hall, Nature 505, 657 (2014).
[CrossRef]

New J. Phys. (1)

I. G. Da Paz, P. L. Saldanha, M. C. Nemes, and J. G. P. de Faria, New J. Phys. 13, 125005 (2011).
[CrossRef]

Opt. Commun. (1)

M. P. Fewell, Opt. Commun. 253, 125 (2005).
[CrossRef]

Opt. Express (1)

Opt. Laser Technol. (1)

H. G. Jerrard, Opt. Laser Technol. 14, 309 (1982).
[CrossRef]

Phys. Rev. (2)

U. Fano, Phys. Rev. 93, 121 (1954).
[CrossRef]

R. A. Beth, Phys. Rev. 50, 115 (1936).
[CrossRef]

Phys. Rev. A (2)

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 78, 053412 (2008).
[CrossRef]

K. C. Wright, L. S. Leslie, and N. P. Bigelow, Phys. Rev. A 77, 041601 (2008).
[CrossRef]

Phys. Rev. Lett. (5)

L. S. Leslie, A. Hansen, K. C. Wright, B. M. Deutsch, and N. P. Bigelow, Phys. Rev. Lett. 103, 250401 (2009).

J. Choi, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 108, 035301 (2012).
[CrossRef]

J. Choi, S. Kang, S. W. Seo, W. J. Kwon, and Y. Shin, Phys. Rev. Lett. 111, 245301 (2013).
[CrossRef]

K. C. Wright, L. S. Leslie, A. Hansen, and N. P. Bigelow, Phys. Rev. Lett. 102, 030405 (2009).
[CrossRef]

G. Milione, H. I. Sztul, D. A. Nolan, and R. R. Alfano, Phys. Rev. Lett. 107, 053601 (2011).
[CrossRef]

Rev. Mod. Phys. (2)

J. Dalibard, F. Gerbier, G. Juzeliūnas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011).
[CrossRef]

A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009).
[CrossRef]

Other (4)

P. Meystre, Atom Optics (Springer, 2001).

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

B. W. Shore, The Theory of Coherent Atomic Excitations (Wiley, 1990), Vol. 2.

A. Hansen, J. T. Schultz, and N. P. Bigelow, in The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement Meeting, OSA Technical Digest (Optical Society of America, 2013), paper M6.64.

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