Abstract

An electron floating on liquid helium is proposed to be trapped (by a microelectrode set below the liquid helium) in a high-finesse terahertz (THz) cavity. The two lowest levels of the vertical motion of the electron act as a two-level “atom,” which could resonantly interact with the THz cavity, and thus the famous Jaynes–Cummings model (JCM) and driven JCM could be implemented. The numerical results show that, for the typical parameters of the cavity and electrons on the surface of liquid helium, strong coupling between the artificial atom and the THz cavity could be obtained.

© 2010 Optical Society of America

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  1. E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  6. G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
    [CrossRef]
  7. M. Zhang, H. Y. Jia, and L. F. Wei, Phys. Rev. A 80, 055801(2009).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  11. E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003).
    [CrossRef] [PubMed]
  12. K. J. Vahala, Nature 424, 839 (2003).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  14. P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
    [CrossRef] [PubMed]
  15. J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999).
    [CrossRef]

2009

M. Zhang, H. Y. Jia, and L. F. Wei, Phys. Rev. A 80, 055801(2009).
[CrossRef]

2008

S. Mostame and R. Schützhold, Phys. Rev. Lett. 101, 220501 (2008).
[CrossRef] [PubMed]

2005

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

2004

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

2003

E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003).
[CrossRef] [PubMed]

K. J. Vahala, Nature 424, 839 (2003).
[CrossRef] [PubMed]

M. I. Dykman, P. M. Platzman, and P. Seddighrad, Phys. Rev. B 67, 155402 (2003).
[CrossRef]

D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
[CrossRef]

2002

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

2001

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

2000

M. M. Nieto, Phys. Rev. A 61, 034901 (2000).
[CrossRef]

1999

P. M. Platzman and M. I. Dykman, Science 284, 1967 (1999).
[CrossRef] [PubMed]

J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999).
[CrossRef]

1994

S. M. Dutra, P. L. Knight, and H. Moya-Cessa, Phys. Rev. A 49, 1993 (1994).
[CrossRef] [PubMed]

Agarwal, G. S.

E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003).
[CrossRef] [PubMed]

Antonov, V.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

Bailey, W.

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Blatt, R.

D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
[CrossRef]

Brune, M.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

Collin, E.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Doherty, A. C.

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

Dutra, S. M.

S. M. Dutra, P. L. Knight, and H. Moya-Cessa, Phys. Rev. A 49, 1993 (1994).
[CrossRef] [PubMed]

Dykman, M. I.

M. I. Dykman, P. M. Platzman, and P. Seddighrad, Phys. Rev. B 67, 155402 (2003).
[CrossRef]

P. M. Platzman and M. I. Dykman, Science 284, 1967 (1999).
[CrossRef] [PubMed]

Fozooni, P.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Frayne, P. G.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Glasson, P.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Haroche, S.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

Harrabi, K.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Jia, H. Y.

M. Zhang, H. Y. Jia, and L. F. Wei, Phys. Rev. A 80, 055801(2009).
[CrossRef]

Kimble, H. J.

J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999).
[CrossRef]

Knight, P. L.

S. M. Dutra, P. L. Knight, and H. Moya-Cessa, Phys. Rev. A 49, 1993 (1994).
[CrossRef] [PubMed]

Lea, M. J.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Leibfried, D.

D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
[CrossRef]

Mabuchi, H.

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

Maunz, P.

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Monroe, C.

D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
[CrossRef]

Mostame, S.

S. Mostame and R. Schützhold, Phys. Rev. Lett. 101, 220501 (2008).
[CrossRef] [PubMed]

Moya-Cessa, H.

S. M. Dutra, P. L. Knight, and H. Moya-Cessa, Phys. Rev. A 49, 1993 (1994).
[CrossRef] [PubMed]

Nieto, M. M.

M. M. Nieto, Phys. Rev. A 61, 034901 (2000).
[CrossRef]

Papageorgiou, G.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

Pinkse, P. W. H.

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Platzman, P. M.

M. I. Dykman, P. M. Platzman, and P. Seddighrad, Phys. Rev. B 67, 155402 (2003).
[CrossRef]

P. M. Platzman and M. I. Dykman, Science 284, 1967 (1999).
[CrossRef] [PubMed]

Puppe, T.

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Raimond, J. M.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

Rees, D. G.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

Rempe, G.

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Schuster, I.

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Schützhold, R.

S. Mostame and R. Schützhold, Phys. Rev. Lett. 101, 220501 (2008).
[CrossRef] [PubMed]

Seddighrad, P.

M. I. Dykman, P. M. Platzman, and P. Seddighrad, Phys. Rev. B 67, 155402 (2003).
[CrossRef]

Solano, E.

E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003).
[CrossRef] [PubMed]

Syassen, N.

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Vahala, K. J.

K. J. Vahala, Nature 424, 839 (2003).
[CrossRef] [PubMed]

Vernooy, D. W.

J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999).
[CrossRef]

Walther, H.

E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003).
[CrossRef] [PubMed]

Wei, L. F.

M. Zhang, H. Y. Jia, and L. F. Wei, Phys. Rev. A 80, 055801(2009).
[CrossRef]

Wineland, D.

D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
[CrossRef]

Ye, J.

J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999).
[CrossRef]

Zhang, M.

M. Zhang, H. Y. Jia, and L. F. Wei, Phys. Rev. A 80, 055801(2009).
[CrossRef]

Appl. Phys. Lett.

G. Papageorgiou, P. Glasson, K. Harrabi, V. Antonov, E. Collin, P. Fozooni, P. G. Frayne, M. J. Lea, and D. G. Rees, Appl. Phys. Lett. 86, 153106 (2005).
[CrossRef]

Nature

K. J. Vahala, Nature 424, 839 (2003).
[CrossRef] [PubMed]

P. Maunz, T. Puppe, I. Schuster, N. Syassen, P. W. H. Pinkse, and G. Rempe, Nature 428, 50 (2004).
[CrossRef] [PubMed]

Phys. Rev. A

M. Zhang, H. Y. Jia, and L. F. Wei, Phys. Rev. A 80, 055801(2009).
[CrossRef]

S. M. Dutra, P. L. Knight, and H. Moya-Cessa, Phys. Rev. A 49, 1993 (1994).
[CrossRef] [PubMed]

M. M. Nieto, Phys. Rev. A 61, 034901 (2000).
[CrossRef]

Phys. Rev. B

M. I. Dykman, P. M. Platzman, and P. Seddighrad, Phys. Rev. B 67, 155402 (2003).
[CrossRef]

Phys. Rev. Lett.

E. Collin, W. Bailey, P. Fozooni, P. G. Frayne, P. Glasson, K. Harrabi, M. J. Lea, and G. Papageorgiou, Phys. Rev. Lett. 89, 245301 (2002).
[CrossRef] [PubMed]

S. Mostame and R. Schützhold, Phys. Rev. Lett. 101, 220501 (2008).
[CrossRef] [PubMed]

J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999).
[CrossRef]

E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003).
[CrossRef] [PubMed]

Rev. Mod. Phys.

J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
[CrossRef]

D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
[CrossRef]

Science

P. M. Platzman and M. I. Dykman, Science 284, 1967 (1999).
[CrossRef] [PubMed]

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

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Figures (1)

Fig. 1
Fig. 1

Sketch of a surface-state electron confined in a high-finesse cavity by a microelectrode (Q) submerged by the depth h beneath the liquid helium surface.

Equations (13)

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

H ^ e = ν ( a ^ x a ^ x + a ^ y a ^ y + 1 ) + ω a 2 σ ^ z ,
E c ( x ) = ω c 2 ϵ 0 V ε z ( b ^ + b ^ ) cos ( k c x + ϕ c ) .
H ^ = H ^ 0 + e z E c ( x ) ,
H ^ = H ^ 0 + Ω c ( b ^ + b ^ ) σ ^ x + Ω ˜ c ( b ^ + b ^ ) σ ^ z ,
H ^ JC = Ω c ( b ^ σ ^ + b ^ σ ^ + ) ,
| m | g cos ( Ω m 1 t ) | m | g i sin ( Ω m 1 t ) | m 1 | e , | m | e cos ( Ω m t ) | m | e i sin ( Ω m t ) | m + 1 | g ,
Ω m = { Ω c m + 1 for m 0 0 for m < 0
H ^ D = H ^ + Ω l σ ^ x ( e i ω l t i ϕ l + e i ω l t + i ϕ l ) + Ω ˜ l σ ^ z ( e i ω l t i ϕ l + e i ω l t + i ϕ l ) ,
H ^ DJC = Ω c ( b ^ σ ^ + b ^ σ ^ + ) + Ω l ( e i ϕ l σ ^ + e i ϕ l σ ^ + ) ,
U ^ ( t ) = e ( i t / ) D ( r ) H ^ JC D ( r ) = D ( r ) e ( i t / ) H ^ JC D ( r ) .
H ^ DJC = Ω c 2 [ b ^ ( τ ^ z τ ^ + + τ ^ ) + b ^ ( τ ^ z + τ ^ + τ ^ ) ] + Ω l τ ^ z ,
H ^ eff = Ω c 2 ( b ^ + b ^ ) τ ^ z = Ω c 2 ( b ^ σ ^ + b ^ σ ^ + ) + Ω c 2 ( b ^ σ ^ + + b ^ σ ^ ) ,
| φ = 1 2 ( | α | + + | α | ) = 1 2 [ ( | α + | α ) | g + ( | α | α ) | e ] ,

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