Abstract

Bright squeezed vacuum, a macroscopic nonclassical state of light, can be obtained at the output of a strongly pumped nonseeded traveling-wave optical parametric amplifier (OPA). By constructing the OPA of two consecutive crystals separated by a large distance, we make the squeezed vacuum spatially single-mode without a significant decrease in the brightness or squeezing.

© 2014 Optical Society of America

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  1. M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
    [CrossRef]
  2. I. N. Agafonov, M. V. Chekhova, and G. Leuchs, Phys. Rev. A 82, 011801 (2010).
    [CrossRef]
  3. T. Sh. Iskhakov, A. M. Perez, K. Yu. Spasibko, M. V. Chekhova, and G. Leuchs, Opt. Lett. 37, 1919 (2012).
    [CrossRef]
  4. P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
    [CrossRef]
  5. A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
    [CrossRef]
  6. M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
    [CrossRef]
  7. P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
    [CrossRef]
  8. F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
    [CrossRef]
  9. O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
    [CrossRef]
  10. A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
    [CrossRef]
  11. D. N. Klyshko, J. Exp. Theor. Phys. 78, 848 (1994).
  12. A. M. Perez, P. Sharapova, O. V. Tikhonova, and M. V. Chekhova (in preparation).
  13. A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
    [CrossRef]
  14. W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
    [CrossRef]
  15. E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
    [CrossRef]
  16. E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
    [CrossRef]

2013 (1)

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

2012 (1)

2011 (1)

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

2010 (1)

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, Phys. Rev. A 82, 011801 (2010).
[CrossRef]

2008 (1)

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

2007 (2)

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

2006 (2)

O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
[CrossRef]

2004 (2)

E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
[CrossRef]

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
[CrossRef]

1998 (1)

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

1997 (1)

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

1994 (1)

D. N. Klyshko, J. Exp. Theor. Phys. 78, 848 (1994).

1987 (1)

P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
[CrossRef]

Agafonov, I. N.

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, Phys. Rev. A 82, 011801 (2010).
[CrossRef]

Allevi, A.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

Andreoni, A.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
[CrossRef]

Bache, M.

E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
[CrossRef]

Banaszek, K.

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Bondani, M.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
[CrossRef]

Brambilla, E.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
[CrossRef]

Burlakov, A. V.

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

Caspani, L.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

Cassemiro, K. N.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

Cavanna, A.

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

Chekhova, M. V.

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

T. Sh. Iskhakov, A. M. Perez, K. Yu. Spasibko, M. V. Chekhova, and G. Leuchs, Opt. Lett. 37, 1919 (2012).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, Phys. Rev. A 82, 011801 (2010).
[CrossRef]

O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
[CrossRef]

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

A. M. Perez, P. Sharapova, O. V. Tikhonova, and M. V. Chekhova (in preparation).

Christ, A.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

Eckstein, A.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

Efremov, M. A.

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

Fedorov, M. V.

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

Gatti, A.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
[CrossRef]

Grangier, P.

P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
[CrossRef]

Iskhakov, T. Sh.

T. Sh. Iskhakov, A. M. Perez, K. Yu. Spasibko, M. V. Chekhova, and G. Leuchs, Opt. Lett. 37, 1919 (2012).
[CrossRef]

O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
[CrossRef]

Ivanova, O. A.

O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
[CrossRef]

Jedrkiewicz, O.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

Just, F.

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

Klyshko, D. N.

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

D. N. Klyshko, J. Exp. Theor. Phys. 78, 848 (1994).

Kulik, S. P.

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

Laiho, K.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

LaPorta, A.

P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
[CrossRef]

Leuchs, G.

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

T. Sh. Iskhakov, A. M. Perez, K. Yu. Spasibko, M. V. Chekhova, and G. Leuchs, Opt. Lett. 37, 1919 (2012).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, Phys. Rev. A 82, 011801 (2010).
[CrossRef]

Lugiato, L. A.

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
[CrossRef]

Lvovsky, A. I.

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Moreva, E. V.

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

Paleari, F.

Paris, M. G. A.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

Penin, A. N.

O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
[CrossRef]

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

Perez, A. M.

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

T. Sh. Iskhakov, A. M. Perez, K. Yu. Spasibko, M. V. Chekhova, and G. Leuchs, Opt. Lett. 37, 1919 (2012).
[CrossRef]

A. M. Perez, P. Sharapova, O. V. Tikhonova, and M. V. Chekhova (in preparation).

Radzewicz, C.

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Rarity, J. G.

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

Sharapova, P.

A. M. Perez, P. Sharapova, O. V. Tikhonova, and M. V. Chekhova (in preparation).

Shih, Y. H.

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

Silberhorn, C.

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

Slusher, R. E.

P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
[CrossRef]

Spasibko, K. Yu.

Straupe, S. S.

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

Strekalov, D. V.

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

Tapster, P. R.

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

Tikhonova, O. V.

A. M. Perez, P. Sharapova, O. V. Tikhonova, and M. V. Chekhova (in preparation).

Volkov, P. A.

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

Wasilewski, W.

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
[CrossRef]

Yurke, B.

P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
[CrossRef]

Zambra, G.

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

F. Paleari, A. Andreoni, G. Zambra, and M. Bondani, Opt. Express 12, 2816 (2004).
[CrossRef]

J. Exp. Theor. Phys. (1)

D. N. Klyshko, J. Exp. Theor. Phys. 78, 848 (1994).

J. Mod. Opt. (1)

P. R. Tapster and J. G. Rarity, J. Mod. Opt. 45, 595 (1998).
[CrossRef]

Laser Phys. Lett. (1)

A. M. Perez, F. Just, A. Cavanna, M. V. Chekhova, and G. Leuchs, Laser Phys. Lett. 10, 125201 (2013).
[CrossRef]

New J. Phys. (1)

A. Christ, K. Laiho, A. Eckstein, K. N. Cassemiro, and C. Silberhorn, New J. Phys. 13, 033027 (2011).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. A (6)

M. Bondani, A. Allevi, G. Zambra, M. G. A. Paris, and A. Andreoni, Phys. Rev. A 76, 013833 (2007).
[CrossRef]

I. N. Agafonov, M. V. Chekhova, and G. Leuchs, Phys. Rev. A 82, 011801 (2010).
[CrossRef]

W. Wasilewski, A. I. Lvovsky, K. Banaszek, and C. Radzewicz, Phys. Rev. A 73, 063819 (2006).
[CrossRef]

E. Brambilla, A. Gatti, M. Bache, and L. A. Lugiato, Phys. Rev. A 69, 023802 (2004).
[CrossRef]

E. Brambilla, L. Caspani, O. Jedrkiewicz, L. A. Lugiato, and A. Gatti, Phys. Rev. A 77, 053807 (2008).
[CrossRef]

A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov, Phys. Rev. A 56, 3214 (1997).
[CrossRef]

Phys. Rev. Lett. (2)

P. Grangier, R. E. Slusher, B. Yurke, and A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987).
[CrossRef]

M. V. Fedorov, M. A. Efremov, P. A. Volkov, E. V. Moreva, S. S. Straupe, and S. P. Kulik, Phys. Rev. Lett. 99, 063901 (2007).
[CrossRef]

Quantum Electron. (1)

O. A. Ivanova, T. Sh. Iskhakov, A. N. Penin, and M. V. Chekhova, Quantum Electron. 36, 951 (2006).
[CrossRef]

Other (1)

A. M. Perez, P. Sharapova, O. V. Tikhonova, and M. V. Chekhova (in preparation).

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Figures (5)

Fig. 1.
Fig. 1.

Idea of the experiment.

Fig. 2.
Fig. 2.

Experimental setup. BSV from two BBO crystals, after the elimination of the pump with a dichroic mirror DM, is collected into the input slit of a monochromator filtering out 1.25 longitudinal modes. Further, g(2)(0) is measured to find out the number of transverse modes. Neutral-density filters (NDF) prevent the saturation of the detectors or a CCD (placed at the position of the dashed line).

Fig. 3.
Fig. 3.

PDC intensity (a) and the second-order CF (b) versus the distance between the crystals. The insets show 2D angular spectra of PDC recorded for different distances between the crystals.

Fig. 4.
Fig. 4.

Calculated intensity in the signal channel (a) and the second-order CF (b) versus the distance between the crystals. The lines are guides to the eye.

Fig. 5.
Fig. 5.

NRF (a) and CF (b) measured without the frequency filtering versus the distance between the crystals. Dotted straight line: the shot-noise level.

Equations (7)

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

H=dk⃗sωs(aksaks+12)+dk⃗iωi(akiaki+12)+(iΓdk⃗sdk⃗iF(k⃗s,k⃗i)aksaki+h.c.),
HnliΓdθsdθiF(θs,θi)aθsaθi+h.c.,
F(θs,θi)exp{σ2kp2(θs+θi)28}sinc{Lckp(θsθi)216}×cos{(Lc+Lnp)kp(θsθi)216δkL2np}.
F(θs,θi)=nλnun(θs)vn(θi),
An=dθsun(θs)aθs,Bn=dθivn(θi)aθi.
dAndt=ΓλnBniωsAn,dBndt=ΓλnAniωiBn.
g(2)=Ns2Ns2,

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