Abstract

The optical analog of the stimulated Raman adiabatic passage via a continuum is experimentally demonstrated for photonic tunneling in femtosecond laser written waveguides. The results clearly show that the mechanism of light transfer relies on destructive interference and on the existence of a photonic dark state.

© 2009 Optical Society of America

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  1. K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
    [CrossRef]
  2. A. E. Miroshnichenko and Y. S. Kivshar, Phys. Rev. E 72, 056611 (2005).
    [CrossRef]
  3. E. Paspalakis, Opt. Commun. 258, 30 (2006).
    [CrossRef]
  4. S. Longhi, Phys. Rev. E 73, 026607 (2006).
    [CrossRef]
  5. P. Ginzburg and M. Orenstein, Opt. Express 14, 11312 (2006).
    [CrossRef] [PubMed]
  6. S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
    [CrossRef]
  7. G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
    [CrossRef]
  8. Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
    [CrossRef] [PubMed]
  9. C. E. Carroll and F. T. Hioe, Phys. Rev. Lett. 68, 3523 (1992).
    [CrossRef] [PubMed]
  10. E. Paspalakis, M. Protopapas, and P. L. Knight, J. Phys. B 31, 775 (1998).
    [CrossRef]
  11. R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
    [CrossRef]
  12. T. Peters, L. P. Yatsenko, and T. Halfmann, Phys. Rev. Lett. 95, 103601 (2005).
    [CrossRef] [PubMed]
  13. S. Longhi, Phys. Rev. A 78, 013815 (2008).
    [CrossRef]
  14. S. Longhi, Phys. Rev. A 79, 023811 (2009).
    [CrossRef]
  15. S. Longhi, J. Mod. Opt. 56, 729 (2009).
    [CrossRef]
  16. S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
    [CrossRef]
  17. F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
    [CrossRef] [PubMed]
  18. A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
    [CrossRef]
  19. F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
    [CrossRef] [PubMed]

2009

S. Longhi, Phys. Rev. A 79, 023811 (2009).
[CrossRef]

S. Longhi, J. Mod. Opt. 56, 729 (2009).
[CrossRef]

2008

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

S. Longhi, Phys. Rev. A 78, 013815 (2008).
[CrossRef]

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

2007

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
[CrossRef]

2006

P. Ginzburg and M. Orenstein, Opt. Express 14, 11312 (2006).
[CrossRef] [PubMed]

E. Paspalakis, Opt. Commun. 258, 30 (2006).
[CrossRef]

S. Longhi, Phys. Rev. E 73, 026607 (2006).
[CrossRef]

2005

A. E. Miroshnichenko and Y. S. Kivshar, Phys. Rev. E 72, 056611 (2005).
[CrossRef]

T. Peters, L. P. Yatsenko, and T. Halfmann, Phys. Rev. Lett. 95, 103601 (2005).
[CrossRef] [PubMed]

2004

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
[CrossRef]

2000

R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
[CrossRef]

1998

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

E. Paspalakis, M. Protopapas, and P. L. Knight, J. Phys. B 31, 775 (1998).
[CrossRef]

1992

C. E. Carroll and F. T. Hioe, Phys. Rev. Lett. 68, 3523 (1992).
[CrossRef] [PubMed]

Bergmann, K.

R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
[CrossRef]

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

Burghoff, J.

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
[CrossRef]

Carroll, C. E.

C. E. Carroll and F. T. Hioe, Phys. Rev. Lett. 68, 3523 (1992).
[CrossRef] [PubMed]

Christodoulides, D. N.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Coppa, A.

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

Doering, S.

Dreisow, F.

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

Fahr, S.

Fernandez, T. T.

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

Foglietti, V.

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

Ginzburg, P.

Halfmann, T.

T. Peters, L. P. Yatsenko, and T. Halfmann, Phys. Rev. Lett. 95, 103601 (2005).
[CrossRef] [PubMed]

Hartung, H.

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

Heinrich, M.

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

Hioe, F. T.

C. E. Carroll and F. T. Hioe, Phys. Rev. Lett. 68, 3523 (1992).
[CrossRef] [PubMed]

Kivshar, Y. S.

A. E. Miroshnichenko and Y. S. Kivshar, Phys. Rev. E 72, 056611 (2005).
[CrossRef]

Knight, P. L.

E. Paspalakis, M. Protopapas, and P. L. Knight, J. Phys. B 31, 775 (1998).
[CrossRef]

Lahini, Y.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Laporta, P.

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
[CrossRef]

Lederer, F.

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

Longhi, S.

S. Longhi, Phys. Rev. A 79, 023811 (2009).
[CrossRef]

S. Longhi, J. Mod. Opt. 56, 729 (2009).
[CrossRef]

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

S. Longhi, Phys. Rev. A 78, 013815 (2008).
[CrossRef]

S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
[CrossRef]

S. Longhi, Phys. Rev. E 73, 026607 (2006).
[CrossRef]

Miroshnichenko, A. E.

A. E. Miroshnichenko and Y. S. Kivshar, Phys. Rev. E 72, 056611 (2005).
[CrossRef]

Morandotti, R.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Nolte, S.

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
[CrossRef]

Orenstein, M.

Ornigotti, M.

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
[CrossRef]

Paspalakis, E.

E. Paspalakis, Opt. Commun. 258, 30 (2006).
[CrossRef]

E. Paspalakis, M. Protopapas, and P. L. Knight, J. Phys. B 31, 775 (1998).
[CrossRef]

Pertsch, T.

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

Peters, T.

T. Peters, L. P. Yatsenko, and T. Halfmann, Phys. Rev. Lett. 95, 103601 (2005).
[CrossRef] [PubMed]

Pozzi, F.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Protopapas, M.

E. Paspalakis, M. Protopapas, and P. L. Knight, J. Phys. B 31, 775 (1998).
[CrossRef]

Shore, B. W.

R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
[CrossRef]

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

Silberberg, Y.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Sorel, M.

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

Szameit, A.

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

Theuer, H.

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

Tuennermann, A.

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, Opt. Express 16, 3474 (2008).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
[CrossRef]

Tünnermann, A.

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

Unanyan, R. G.

R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
[CrossRef]

Valle, G. D.

S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
[CrossRef]

Valle, G. Della

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

Vitanov, N. V.

R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
[CrossRef]

Will, M.

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
[CrossRef]

Yatsenko, L. P.

T. Peters, L. P. Yatsenko, and T. Halfmann, Phys. Rev. Lett. 95, 103601 (2005).
[CrossRef] [PubMed]

Appl. Phys. Lett.

G. Della Valle, M. Ornigotti, T. T. Fernandez, P. Laporta, S. Longhi, A. Coppa, and V. Foglietti, Appl. Phys. Lett. 92, 011106 (2008).
[CrossRef]

A. Szameit, F. Dreisow, H. Hartung, S. Nolte, A. Tuennermann, and F. Lederer, Appl. Phys. Lett. 90, 241113 (2007).
[CrossRef]

J. Mod. Opt.

S. Longhi, J. Mod. Opt. 56, 729 (2009).
[CrossRef]

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, J. Mod. Opt. 51, 2533 (2004).
[CrossRef]

J. Phys. B

E. Paspalakis, M. Protopapas, and P. L. Knight, J. Phys. B 31, 775 (1998).
[CrossRef]

Opt. Commun.

E. Paspalakis, Opt. Commun. 258, 30 (2006).
[CrossRef]

Opt. Express

Phys. Rev. A

R. G. Unanyan, N. V. Vitanov, B. W. Shore, and K. Bergmann, Phys. Rev. A 61, 043408 (2000).
[CrossRef]

S. Longhi, Phys. Rev. A 78, 013815 (2008).
[CrossRef]

S. Longhi, Phys. Rev. A 79, 023811 (2009).
[CrossRef]

Phys. Rev. B

S. Longhi, G. D. Valle, M. Ornigotti, and P. Laporta, Phys. Rev. B 76, 201101 (2007).
[CrossRef]

Phys. Rev. E

A. E. Miroshnichenko and Y. S. Kivshar, Phys. Rev. E 72, 056611 (2005).
[CrossRef]

S. Longhi, Phys. Rev. E 73, 026607 (2006).
[CrossRef]

Phys. Rev. Lett.

F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 101, 143602 (2008).
[CrossRef] [PubMed]

T. Peters, L. P. Yatsenko, and T. Halfmann, Phys. Rev. Lett. 95, 103601 (2005).
[CrossRef] [PubMed]

Y. Lahini, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 101, 193901 (2008).
[CrossRef] [PubMed]

C. E. Carroll and F. T. Hioe, Phys. Rev. Lett. 68, 3523 (1992).
[CrossRef] [PubMed]

Rev. Mod. Phys.

K. Bergmann, H. Theuer, and B. W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Sketch of waveguide arrangement, showing two waveguides W 1 and W 2 (solid curved rod) side coupled to a common array A. (b) Quantum-mechanical analog of the photonic system. (c) Microscopy image of manufactured waveguide systems (output facets). From left to right: m = 0 , 1, and 2 with two output channels.

Fig. 2
Fig. 2

Light transfer between two side waveguides W 1 and W 2 coupled to a common guide of array A ( m = 0 ) . (a)–(c) Counterintuitive (STIRAP) regime, W 1 is illuminated: (a) fluorescence image, (b) output near field, (c) numerically computed evolution of | c 1 | 2 and | c 2 | 2 . (d)–(f) Intuitive (non-STIRAP) regime, W 2 is illuminated: (d) numerically computed evolution of | c 1 | 2 and | c 2 | 2 , (e) fluorescence image, (f) output near field. The circles indicate the excitation waveguide at input plane.

Fig. 3
Fig. 3

Same as Fig. 2 but for m = 1 . In this case the photonic structure does not have a nondecaying (trapped) state.

Fig. 4
Fig. 4

Same as Fig. 2 but for m = 2 , two output channels, and counterintuitive (STIRAP) regime. The curvature of the bent waveguides is α = 3 × 10 6 mm 1 ; the apices of W 1 and W 2 , 3 are at 60 and 15 mm from the input plane, respectively; the minimal spacing between the waveguides and A is d min = 11 μ m .

Equations (4)

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

i c ̇ 1 = Δ 11 c 1 Δ 12 c 2 ,     i c ̇ 2 = Δ 21 c 1 Δ 22 c 2 ,
Δ 11 = κ 1 2 ( z ) 2 κ ,     Δ 22 = κ 2 2 ( z ) 2 κ ,     Δ 12 = Δ 21 = i m κ 1 ( z ) κ 2 ( z ) 2 κ .
c 1 = i m κ 2 ( z ) κ 1 2 ( z ) + κ 2 2 ( z ) ,     c 2 = κ 1 ( z ) κ 1 2 ( z ) + κ 2 2 ( z ) ,
c 1 = 2 κ 2 ( z ) κ 1 2 ( z ) + 4 κ 2 2 ( z ) ,     c 2 = c 3 = κ 1 ( z ) κ 1 2 ( z ) + 4 κ 2 2 ( z ) .

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