Abstract

We demonstrate that chirped light is effective in shrinking or expanding a class of nonspreading electron eigenstate wave packets in Rydberg atoms.

© 1997 Optical Society of America

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References

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  1. C.K. Law and J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)
    [Crossref] [PubMed]
  2. E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
    [Crossref]
  3. C. P. Slichter, Principles of Magnetic Resonance, (Springer-Verlag1978)
  4. Y.S. Bai, A.G. Yodh, and T.W. Mossberg, Phys. Rev. Lett. 55, 1277 (1985)
    [Crossref] [PubMed]
  5. See the overview in M. Shapiro and P. Brumer, Int. Rev. Phys. Chem. 13, 187 (1994)
    [Crossref]
  6. R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
    [Crossref]
  7. R. M. Whitnell, K. R. Wilson, and S. Mukamel, J. Phys. Chem. 97, 2320 (1993)
    [Crossref]
  8. P. Gross and H. Rabitz, J. Chem. Phys. 105, 1299 (1996)
    [Crossref]
  9. J. Oreg, F. T. Hioe, and J. H. Eberly, Phys. Rev. A 29, 690 (1984)
    [Crossref]
  10. U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
    [Crossref]
  11. S.E. Harris, Phys. Today 50, 36 (1997)
    [Crossref]
  12. I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
    [Crossref] [PubMed]
  13. M. Kalinski and J. H. Eberly, Phys. Rev. A 52, 4285 (1995)
    [Crossref] [PubMed]
  14. D. Farrelly and T. Uzer, Phys. Rev. Lett. 74, 1720 (1995)
    [Crossref] [PubMed]
  15. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
    [Crossref] [PubMed]
  16. For earlier references and a video of core-scattering dynamics of angularly confined Rydberg wave packets, see J. A. West and C. R. Stroud, Optics Expr. 1, 31 (1997)
    [Crossref]
  17. M. Kalinski, E. A. Shapiro, and J. H. Eberly (in preparation)
  18. M.J. Feit, J.A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982)
    [Crossref]
  19. C. H. Cheng, C. Y. Lee, and T. F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994)
    [Crossref] [PubMed]
  20. M. R. W. Bellermann, P. M. Koch, and D. Richards, Phys. Rev. Lett. 78, 3840 (1997)
    [Crossref]
  21. C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
    [Crossref] [PubMed]

1997 (4)

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

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

For earlier references and a video of core-scattering dynamics of angularly confined Rydberg wave packets, see J. A. West and C. R. Stroud, Optics Expr. 1, 31 (1997)
[Crossref]

M. R. W. Bellermann, P. M. Koch, and D. Richards, Phys. Rev. Lett. 78, 3840 (1997)
[Crossref]

1996 (3)

C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
[Crossref] [PubMed]

C.K. Law and J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)
[Crossref] [PubMed]

P. Gross and H. Rabitz, J. Chem. Phys. 105, 1299 (1996)
[Crossref]

1995 (3)

M. Kalinski and J. H. Eberly, Phys. Rev. A 52, 4285 (1995)
[Crossref] [PubMed]

D. Farrelly and T. Uzer, Phys. Rev. Lett. 74, 1720 (1995)
[Crossref] [PubMed]

J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
[Crossref] [PubMed]

1994 (3)

I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
[Crossref] [PubMed]

C. H. Cheng, C. Y. Lee, and T. F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994)
[Crossref] [PubMed]

See the overview in M. Shapiro and P. Brumer, Int. Rev. Phys. Chem. 13, 187 (1994)
[Crossref]

1993 (1)

R. M. Whitnell, K. R. Wilson, and S. Mukamel, J. Phys. Chem. 97, 2320 (1993)
[Crossref]

1989 (1)

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

1988 (1)

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

1985 (1)

Y.S. Bai, A.G. Yodh, and T.W. Mossberg, Phys. Rev. Lett. 55, 1277 (1985)
[Crossref] [PubMed]

1984 (1)

J. Oreg, F. T. Hioe, and J. H. Eberly, Phys. Rev. A 29, 690 (1984)
[Crossref]

1982 (1)

M.J. Feit, J.A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982)
[Crossref]

Bai, Y.S.

Y.S. Bai, A.G. Yodh, and T.W. Mossberg, Phys. Rev. Lett. 55, 1277 (1985)
[Crossref] [PubMed]

Becker, M.

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Bellermann, M. R. W.

M. R. W. Bellermann, P. M. Koch, and D. Richards, Phys. Rev. Lett. 78, 3840 (1997)
[Crossref]

Bergmann, K.

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Bialynicki-Birula, I.

I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
[Crossref] [PubMed]

Brumer, P.

See the overview in M. Shapiro and P. Brumer, Int. Rev. Phys. Chem. 13, 187 (1994)
[Crossref]

Brune, M.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Buchleitner, A.

J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
[Crossref] [PubMed]

Bucksbaum, P. H.

C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
[Crossref] [PubMed]

Cheng, C. H.

C. H. Cheng, C. Y. Lee, and T. F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994)
[Crossref] [PubMed]

Conover, C. W. S.

C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
[Crossref] [PubMed]

Delande, D.

J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
[Crossref] [PubMed]

Eberly, J. H.

M. Kalinski and J. H. Eberly, Phys. Rev. A 52, 4285 (1995)
[Crossref] [PubMed]

I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
[Crossref] [PubMed]

J. Oreg, F. T. Hioe, and J. H. Eberly, Phys. Rev. A 29, 690 (1984)
[Crossref]

M. Kalinski, E. A. Shapiro, and J. H. Eberly (in preparation)

Eberly, J.H.

C.K. Law and J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)
[Crossref] [PubMed]

Farrelly, D.

D. Farrelly and T. Uzer, Phys. Rev. Lett. 74, 1720 (1995)
[Crossref] [PubMed]

Feit, M.J.

M.J. Feit, J.A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982)
[Crossref]

Fleck, J.A.

M.J. Feit, J.A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982)
[Crossref]

Gallagher, T. F.

C. H. Cheng, C. Y. Lee, and T. F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994)
[Crossref] [PubMed]

Gaspard, P.

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

Gaubatz, U.

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Gross, P.

P. Gross and H. Rabitz, J. Chem. Phys. 105, 1299 (1996)
[Crossref]

Hagley, E.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Haroche, S.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Harris, S.E.

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

Hioe, F. T.

J. Oreg, F. T. Hioe, and J. H. Eberly, Phys. Rev. A 29, 690 (1984)
[Crossref]

Kalinski, M.

M. Kalinski and J. H. Eberly, Phys. Rev. A 52, 4285 (1995)
[Crossref] [PubMed]

I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
[Crossref] [PubMed]

M. Kalinski, E. A. Shapiro, and J. H. Eberly (in preparation)

Koch, P. M.

M. R. W. Bellermann, P. M. Koch, and D. Richards, Phys. Rev. Lett. 78, 3840 (1997)
[Crossref]

Kosloff, R.

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

Külz, M.

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Law, C.K.

C.K. Law and J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)
[Crossref] [PubMed]

Lee, C. Y.

C. H. Cheng, C. Y. Lee, and T. F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994)
[Crossref] [PubMed]

Maitre, X.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Mossberg, T.W.

Y.S. Bai, A.G. Yodh, and T.W. Mossberg, Phys. Rev. Lett. 55, 1277 (1985)
[Crossref] [PubMed]

Mukamel, S.

R. M. Whitnell, K. R. Wilson, and S. Mukamel, J. Phys. Chem. 97, 2320 (1993)
[Crossref]

Nogues, G.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Oreg, J.

J. Oreg, F. T. Hioe, and J. H. Eberly, Phys. Rev. A 29, 690 (1984)
[Crossref]

Rabitz, H.

P. Gross and H. Rabitz, J. Chem. Phys. 105, 1299 (1996)
[Crossref]

Raimond, J. M.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Raman, C.

C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
[Crossref] [PubMed]

Rice, S. A.

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

Richards, D.

M. R. W. Bellermann, P. M. Koch, and D. Richards, Phys. Rev. Lett. 78, 3840 (1997)
[Crossref]

Rudecki, P.

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Schiemann, S.

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Shapiro, E. A.

M. Kalinski, E. A. Shapiro, and J. H. Eberly (in preparation)

Shapiro, M.

See the overview in M. Shapiro and P. Brumer, Int. Rev. Phys. Chem. 13, 187 (1994)
[Crossref]

Slichter, C. P.

C. P. Slichter, Principles of Magnetic Resonance, (Springer-Verlag1978)

Steiger, A.

M.J. Feit, J.A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982)
[Crossref]

Stroud, C. R.

For earlier references and a video of core-scattering dynamics of angularly confined Rydberg wave packets, see J. A. West and C. R. Stroud, Optics Expr. 1, 31 (1997)
[Crossref]

Sukenik, C. I.

C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
[Crossref] [PubMed]

Tannor, D. J.

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

Tersigni, S.

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

Uzer, T.

D. Farrelly and T. Uzer, Phys. Rev. Lett. 74, 1720 (1995)
[Crossref] [PubMed]

West, J. A.

For earlier references and a video of core-scattering dynamics of angularly confined Rydberg wave packets, see J. A. West and C. R. Stroud, Optics Expr. 1, 31 (1997)
[Crossref]

Whitnell, R. M.

R. M. Whitnell, K. R. Wilson, and S. Mukamel, J. Phys. Chem. 97, 2320 (1993)
[Crossref]

Wilson, K. R.

R. M. Whitnell, K. R. Wilson, and S. Mukamel, J. Phys. Chem. 97, 2320 (1993)
[Crossref]

Wunderlich, C.

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

Yodh, A.G.

Y.S. Bai, A.G. Yodh, and T.W. Mossberg, Phys. Rev. Lett. 55, 1277 (1985)
[Crossref] [PubMed]

Zakrzewski, J.

J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
[Crossref] [PubMed]

Chem. Phys. (1)

R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989)
[Crossref]

Chem. Phys. Lett. (1)

U. Gaubatz, P. Rudecki, M. Becker, S. Schiemann, M. Külz, and K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
[Crossref]

Int. Rev. Phys. Chem. (1)

See the overview in M. Shapiro and P. Brumer, Int. Rev. Phys. Chem. 13, 187 (1994)
[Crossref]

J. Chem. Phys. (1)

P. Gross and H. Rabitz, J. Chem. Phys. 105, 1299 (1996)
[Crossref]

J. Comput. Phys. (1)

M.J. Feit, J.A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982)
[Crossref]

J. Phys. Chem. (1)

R. M. Whitnell, K. R. Wilson, and S. Mukamel, J. Phys. Chem. 97, 2320 (1993)
[Crossref]

Optics Expr. (1)

For earlier references and a video of core-scattering dynamics of angularly confined Rydberg wave packets, see J. A. West and C. R. Stroud, Optics Expr. 1, 31 (1997)
[Crossref]

Phys. Rev. A (2)

J. Oreg, F. T. Hioe, and J. H. Eberly, Phys. Rev. A 29, 690 (1984)
[Crossref]

M. Kalinski and J. H. Eberly, Phys. Rev. A 52, 4285 (1995)
[Crossref] [PubMed]

Phys. Rev. Lett. (9)

D. Farrelly and T. Uzer, Phys. Rev. Lett. 74, 1720 (1995)
[Crossref] [PubMed]

J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
[Crossref] [PubMed]

C. H. Cheng, C. Y. Lee, and T. F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994)
[Crossref] [PubMed]

M. R. W. Bellermann, P. M. Koch, and D. Richards, Phys. Rev. Lett. 78, 3840 (1997)
[Crossref]

C. Raman, C. W. S. Conover, C. I. Sukenik, and P. H. Bucksbaum, Phys. Rev. Lett. 76, 2436 (1996)
[Crossref] [PubMed]

Y.S. Bai, A.G. Yodh, and T.W. Mossberg, Phys. Rev. Lett. 55, 1277 (1985)
[Crossref] [PubMed]

C.K. Law and J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)
[Crossref] [PubMed]

E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 79, 1 (1997)
[Crossref]

I. Bialynicki-Birula, M. Kalinski, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
[Crossref] [PubMed]

Phys. Today (1)

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

Other (2)

C. P. Slichter, Principles of Magnetic Resonance, (Springer-Verlag1978)

M. Kalinski, E. A. Shapiro, and J. H. Eberly (in preparation)

Supplementary Material (1)

» Media 1: MOV (2746 KB)     

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Figures (3)

Fig. 1.
Fig. 1.

Trojan Packet for the CP field frequency ω = 1=243 (n 0 = 24) and the field strength ε = 0.016=244

Fig. 2.
Fig. 2.

Energy spectrum of the hamiltonian (1) as a function of the scaled electric field εsc = εω -4/3 for ω = 1/203. Black lines show numerical results from (1). Each red line shows an analytic Trojan energy level predicted by the nonlinear pendular approach [13]. By following the black lines closely coincident with the red lines, one sees the level jumps required at various anti-crossings.

Fig. 3.
Fig. 3.

The initial wave packet (left) and the final packet (right) at the end of the compression process plotted in x - y real space coordinates. These are also the first and last frames of a 2.7MB linked QuickTime movie. The plotted zone covers a region 1500 × 1500 a. u. in size. The initial state was chosen to be the Gaussian packet Trojan state for ω 0 = 1/243 and ε = 0.016/243. Then ω(t) was changed linearly to the final value 1/183 during a time equal to 60 original cycles while the amplitude of the field was kept steady.

Equations (8)

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

H R = p 2 2 1 r + εx ω L z
ω = 1 n 0 3 .
E ( t ) = ε [ x ̂ cos ( ω 0 t + μ t 2 ) + y ̂ sin ( ω 0 t + μ t 2 ) ] ,
𝛨 = 3 2 1 r 0 2 2 ϕ 2 + ε r 0 cos ϕ i Δ ϕ ,
dt 3 ε ω 2 3 .
d ω ˜ 6 π ε sc .
dt π 2 ( ε r 0 ) 2 ,
d ω ˜ π 2 ε sc 2 n 0 4 .

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