Abstract

Using the history dependence of a dipolar glass hosted in a compositionally disordered lithium-enriched potassium tantalate niobate (KTN:Li) crystal, we demonstrate scale-free optical propagation at tunable temperatures. The operating equilibration temperature is determined by previous crystal spiralling in the temperature/cooling-rate phase space.

© 2012 Optical Society of America

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  1. O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
    [CrossRef]
  2. E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
    [CrossRef]
  3. G. A. Samara, J. Phys. Condens. Matter 15, R367 (2003).
    [CrossRef]
  4. A. Bokov, J. Mater. Sci. 41, 31 (2006).
    [CrossRef]
  5. J. Parravicini, F. Di Mei, C. Conti, A. J. Agranat, and E. DelRe, Opt. Express 19, 24109 (2011).
    [CrossRef]
  6. V. Folli, E. DelRe, and C. Conti, Phys. Rev. Lett. 108, 033901 (2012).
    [CrossRef]
  7. The model breaks down for scales at which the space charge saturates. This is a sample-dependent limit associated with the acceptor density NA and the static εr. In typical KTN:Li samples, NA≃2·1018  cm−3, so that even in the critical regime with εr∼105, the model breaks down for beam widths l∼0.1  μm.
  8. C. Conti, A. J. Agranat, and E. DelRe, Phys. Rev. A 84, 043809 (2011).
    [CrossRef]
  9. F. Jona and G. Shirane, Ferroelectric Crystals (Dover, 1993).
  10. E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
    [CrossRef]
  11. W. Kleemann and R. Lindner, Ferroelectrics 199, 1 (1997).
    [CrossRef]
  12. L. Leuzzi and T. M. Nieuwenhuizen, Thermodynamics of the Glassy State (Taylor & Francis, 2008).
  13. S. Mossa and F. Sciortino, Phys. Rev. Lett. 92, 045504 (2004).
    [CrossRef]
  14. J. Parravicini, A. J. Agranat, C. Conti, and E. DelRe have prepared a manuscript to be called, “Kovacs and inverse Kovacs effect in the optical scale-free regime.”
  15. B. Crosignani, E. DelRe, P. Di Porto, and A. Degasperis, Opt. Lett. 23, 912 (1998).
    [CrossRef]
  16. B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
    [CrossRef]
  17. P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
    [CrossRef]
  18. A. Gumennik, Y. Kurzweil-Segev, and A. J. Agranat, Opt. Mater. Express 1, 332 (2011).
    [CrossRef]
  19. The final equilibration temperature is held through small-amplitude rapid adjustments that are omitted in the S and R curves.
  20. E. DelRe, A. Ciattoni, and E. Palange, Phys. Rev. E 73, 017601 (2006).
    [CrossRef]

2012 (1)

V. Folli, E. DelRe, and C. Conti, Phys. Rev. Lett. 108, 033901 (2012).
[CrossRef]

2011 (4)

C. Conti, A. J. Agranat, and E. DelRe, Phys. Rev. A 84, 043809 (2011).
[CrossRef]

E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
[CrossRef]

A. Gumennik, Y. Kurzweil-Segev, and A. J. Agranat, Opt. Mater. Express 1, 332 (2011).
[CrossRef]

J. Parravicini, F. Di Mei, C. Conti, A. J. Agranat, and E. DelRe, Opt. Express 19, 24109 (2011).
[CrossRef]

2009 (1)

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

2006 (2)

A. Bokov, J. Mater. Sci. 41, 31 (2006).
[CrossRef]

E. DelRe, A. Ciattoni, and E. Palange, Phys. Rev. E 73, 017601 (2006).
[CrossRef]

2004 (2)

S. Mossa and F. Sciortino, Phys. Rev. Lett. 92, 045504 (2004).
[CrossRef]

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

2003 (1)

G. A. Samara, J. Phys. Condens. Matter 15, R367 (2003).
[CrossRef]

1999 (2)

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

1998 (1)

1997 (1)

W. Kleemann and R. Lindner, Ferroelectrics 199, 1 (1997).
[CrossRef]

Agranat, A. J.

E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
[CrossRef]

J. Parravicini, F. Di Mei, C. Conti, A. J. Agranat, and E. DelRe, Opt. Express 19, 24109 (2011).
[CrossRef]

A. Gumennik, Y. Kurzweil-Segev, and A. J. Agranat, Opt. Mater. Express 1, 332 (2011).
[CrossRef]

C. Conti, A. J. Agranat, and E. DelRe, Phys. Rev. A 84, 043809 (2011).
[CrossRef]

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

J. Parravicini, A. J. Agranat, C. Conti, and E. DelRe have prepared a manuscript to be called, “Kovacs and inverse Kovacs effect in the optical scale-free regime.”

Ben Ishai, P.

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

Bokov, A.

A. Bokov, J. Mater. Sci. 41, 31 (2006).
[CrossRef]

Ciattoni, A.

E. DelRe, A. Ciattoni, and E. Palange, Phys. Rev. E 73, 017601 (2006).
[CrossRef]

Conti, C.

V. Folli, E. DelRe, and C. Conti, Phys. Rev. Lett. 108, 033901 (2012).
[CrossRef]

J. Parravicini, F. Di Mei, C. Conti, A. J. Agranat, and E. DelRe, Opt. Express 19, 24109 (2011).
[CrossRef]

E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
[CrossRef]

C. Conti, A. J. Agranat, and E. DelRe, Phys. Rev. A 84, 043809 (2011).
[CrossRef]

J. Parravicini, A. J. Agranat, C. Conti, and E. DelRe have prepared a manuscript to be called, “Kovacs and inverse Kovacs effect in the optical scale-free regime.”

Crosignani, B.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

B. Crosignani, E. DelRe, P. Di Porto, and A. Degasperis, Opt. Lett. 23, 912 (1998).
[CrossRef]

Davidson, N.

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

De Olivera, C. E. M.

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

Degasperis, A.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

B. Crosignani, E. DelRe, P. Di Porto, and A. Degasperis, Opt. Lett. 23, 912 (1998).
[CrossRef]

Della Pergola, R.

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

DelRe, E.

V. Folli, E. DelRe, and C. Conti, Phys. Rev. Lett. 108, 033901 (2012).
[CrossRef]

J. Parravicini, F. Di Mei, C. Conti, A. J. Agranat, and E. DelRe, Opt. Express 19, 24109 (2011).
[CrossRef]

E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
[CrossRef]

C. Conti, A. J. Agranat, and E. DelRe, Phys. Rev. A 84, 043809 (2011).
[CrossRef]

E. DelRe, A. Ciattoni, and E. Palange, Phys. Rev. E 73, 017601 (2006).
[CrossRef]

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

B. Crosignani, E. DelRe, P. Di Porto, and A. Degasperis, Opt. Lett. 23, 912 (1998).
[CrossRef]

J. Parravicini, A. J. Agranat, C. Conti, and E. DelRe have prepared a manuscript to be called, “Kovacs and inverse Kovacs effect in the optical scale-free regime.”

Di Mei, F.

Di Porto, P.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

B. Crosignani, E. DelRe, P. Di Porto, and A. Degasperis, Opt. Lett. 23, 912 (1998).
[CrossRef]

Feldman, Y.

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

Firstenberg, O.

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

Folli, V.

V. Folli, E. DelRe, and C. Conti, Phys. Rev. Lett. 108, 033901 (2012).
[CrossRef]

Gumennik, A.

Jona, F.

F. Jona and G. Shirane, Ferroelectric Crystals (Dover, 1993).

Kleemann, W.

W. Kleemann and R. Lindner, Ferroelectrics 199, 1 (1997).
[CrossRef]

Kurzweil-Segev, Y.

Leuzzi, L.

L. Leuzzi and T. M. Nieuwenhuizen, Thermodynamics of the Glassy State (Taylor & Francis, 2008).

Lindner, R.

W. Kleemann and R. Lindner, Ferroelectrics 199, 1 (1997).
[CrossRef]

London, P.

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

Mossa, S.

S. Mossa and F. Sciortino, Phys. Rev. Lett. 92, 045504 (2004).
[CrossRef]

Nieuwenhuizen, T. M.

L. Leuzzi and T. M. Nieuwenhuizen, Thermodynamics of the Glassy State (Taylor & Francis, 2008).

Palange, E.

E. DelRe, A. Ciattoni, and E. Palange, Phys. Rev. E 73, 017601 (2006).
[CrossRef]

Parravicini, J.

J. Parravicini, F. Di Mei, C. Conti, A. J. Agranat, and E. DelRe, Opt. Express 19, 24109 (2011).
[CrossRef]

J. Parravicini, A. J. Agranat, C. Conti, and E. DelRe have prepared a manuscript to be called, “Kovacs and inverse Kovacs effect in the optical scale-free regime.”

Ron, A.

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

Ryabov, Y.

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

Samara, G. A.

G. A. Samara, J. Phys. Condens. Matter 15, R367 (2003).
[CrossRef]

Sciortino, F.

S. Mossa and F. Sciortino, Phys. Rev. Lett. 92, 045504 (2004).
[CrossRef]

Segev, M.

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

Shirane, G.

F. Jona and G. Shirane, Ferroelectric Crystals (Dover, 1993).

Snuker, M.

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

Spinozzi, E.

E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
[CrossRef]

Tamburrini, M.

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

Ferroelectrics (1)

W. Kleemann and R. Lindner, Ferroelectrics 199, 1 (1997).
[CrossRef]

J. Mater. Sci. (1)

A. Bokov, J. Mater. Sci. 41, 31 (2006).
[CrossRef]

J. Phys. Condens. Matter (1)

G. A. Samara, J. Phys. Condens. Matter 15, R367 (2003).
[CrossRef]

Nat. Photon. (1)

E. DelRe, E. Spinozzi, A. J. Agranat, and C. Conti, Nat. Photon. 5, 39 (2011).
[CrossRef]

Nat. Phys. (1)

O. Firstenberg, P. London, M. Snuker, A. Ron, and N. Davidson, Nat. Phys. 5, 665 (2009).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Opt. Mater. Express (1)

Phys. Rev. A (1)

C. Conti, A. J. Agranat, and E. DelRe, Phys. Rev. A 84, 043809 (2011).
[CrossRef]

Phys. Rev. B (1)

P. Ben Ishai, C. E. M. De Olivera, Y. Ryabov, Y. Feldman, and A. J. Agranat, Phys. Rev. B 70, 132104 (2004).
[CrossRef]

Phys. Rev. E (1)

E. DelRe, A. Ciattoni, and E. Palange, Phys. Rev. E 73, 017601 (2006).
[CrossRef]

Phys. Rev. Lett. (4)

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, Phys. Rev. Lett. 82, 1664 (1999).
[CrossRef]

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. J. Agranat, Phys. Rev. Lett. 83, 1954 (1999).
[CrossRef]

V. Folli, E. DelRe, and C. Conti, Phys. Rev. Lett. 108, 033901 (2012).
[CrossRef]

S. Mossa and F. Sciortino, Phys. Rev. Lett. 92, 045504 (2004).
[CrossRef]

Other (5)

J. Parravicini, A. J. Agranat, C. Conti, and E. DelRe have prepared a manuscript to be called, “Kovacs and inverse Kovacs effect in the optical scale-free regime.”

L. Leuzzi and T. M. Nieuwenhuizen, Thermodynamics of the Glassy State (Taylor & Francis, 2008).

The model breaks down for scales at which the space charge saturates. This is a sample-dependent limit associated with the acceptor density NA and the static εr. In typical KTN:Li samples, NA≃2·1018  cm−3, so that even in the critical regime with εr∼105, the model breaks down for beam widths l∼0.1  μm.

F. Jona and G. Shirane, Ferroelectric Crystals (Dover, 1993).

The final equilibration temperature is held through small-amplitude rapid adjustments that are omitted in the S and R curves.

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