Abstract
We show that entangled entanglement can be obtained from a multimode Raman laser. In this system, all lasing modes constitute a quantum-beat. Equivalently, one collective mode is operated well above threshold and exhibits the sub-Poissonian statistics, while other orthonormal collective modes are excluded from the interacting system and stay in vacuum states. This determines entanglement between any two sub-collections, in each of which exists entanglement between any two sub-sub-collections, and so on, if present. This scheme is accessible based on the recent experimental progress in Raman lasers.
Similar content being viewed by others
References
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
C.H. Bennett, D.P. Divincenzo, Nature 404, 247 (2000)
T. Aoki, A. Furusawa, Nature 431, 430 (2004)
S.L. Braunstein, P. van Loock, Rev. Mod. Phys. 77, 513 (2005)
B. Yurke, J.S. Denker, Phys. Rev. A 29, 1419 (1984)
V. Bužek, S.L. Braunstein, M. Hillery, D. Bruß, Phys. Rev. A 56, 3446 (1997)
T. Pellizzari, Phys. Rev. Lett. 79, 5242 (1997)
J.I. Cirac, P. Zoller, H.J. Kimble, H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997)
P. van Loock, S.L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000)
A. Ekert, R. Jozsa, Rev. Mod. Phys. 68, 733 (1996)
P. Kok, W.J. Munro, K. Nemoto, T.C. Ralph, J.P. Dowling, G.J. Milburn, Rev. Mod. Phys. 79, 135 (2007)
D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)
G. Krenn, A. Zeilinger, Phys. Rev. A 54, 1793 (1996)
P. Walther, K.J. Resch, Č. Brukner, A. Zeilinger, Phys. Rev. Lett. 97, 020501 (2006)
J. Mckeever, A. Boca, A.D. Boozer, J.R. Buck, H.J. Kimble, Nature 425, 268 (2003)
M.O. Scully, Phys. Rev. Lett. 55, 2802 (1985)
M.O. Scully, M.S. Zubairy, Phys. Rev. A 35, 752 (1987)
J.A. Bergou, M. Orszag, M.O. Scully, Phys. Rev. A 38, 754 (1988)
M.P. Winters, J.L. Hall, P.E. Toschek, Phys. Rev. Lett. 65, 3116 (1990)
I. Steiner, P.E. Toschek, Phys. Rev. Lett. 74, 4639 (1995)
M.O. Scully, K. Wodkiewicz, M.S. Zubairy, J. Bergou, N. Lu, J. Meyer-ter-Vehn, Phys. Rev. Lett. 60, 1832 (1988)
N. Lu, F.X. Zhao, J. Bergou, Phys. Rev. A 39, 5189 (1989)
N. Lu, S.Y. Zhu, Phys. Rev. A 41, 2865 (1990)
H. Xiong, M.O. Scully, M.S. Zubairy, Phys. Rev. Lett. 94, 023601 (2005)
H.T. Tan, S.Y. Zhu, M.S. Zubairy, Phys. Rev. A 72, 022305 (2005)
S. Qamar, H. Xiong, M.S. Zubairy, Phys. Rev. A 75, 062305 (2007)
M. Ikram, G.X. Li, M.S. Zubairy, Phys. Rev. A 76, 042317 (2007)
S. Qamar, F. Ghafoor, M. Hillery, M.S. Zubairy, Phys. Rev. A 77, 062308 (2008)
S. Tesfa, J. Phys. B At. Mol. Opt. Phys. 40, 2373 (2007)
S. Tesfa, J. Phys. B At. Mol. Opt. Phys. 41, 055503 (2008)
S. Tesfa, J. Phys. B At. Mol. Opt. Phys. 41, 145501 (2008)
W.X. Shi, X.M. Hu, F. Wang, J. Phys. B At. Mol. Opt. Phys. 42, 165506 (2009)
X.Y. Zhao, Y.H. Ma, L. Zhou, Opt. Commun. 282, 1593 (2009)
X.M. Hu, J.H. Zou, Phys. Rev. A 78, 045801 (2008)
X.X. Li, X.M. Hu, Phys. Rev. A 80, 023815 (2009)
M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997)
X.M. Hu, J.S. Peng, Opt. Commun. 154, 152 (1998)
P.D. Drummond, C.W. Gardiner, J. Phys. A 13, 2353 (1980)
P.D. Drummond, D.F. Walls, Phys. Rev. A 23, 2563 (1981)
M. Sargent III, M.O. Scully, W.E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, MA, 1974)
J.S. Peng, G.X. Li, Introduction to Modern Quantum Optics (World Scientific, Singapore, 1998)
W.H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973)
H. Ritsch, Quantum Opt. 2, 189 (1990)
D.F. Walls, M.J. Collett, A.S. Lane, Phys. Rev. A 42, 4366 (1990)
H.M. Wiseman, G.J. Milburn, Phys. Rev. A 44, 7815 (1991)
U. Herzog, Opt. Commun. 85, 275 (1991).
A.M. Khazanov, G.A. Koganov, E.P. Gordov, Phys. Rev. A 42, 3065 (1990)
H. Ritsch, P. Zoller, C.W. Gardiner, D.F. Walls, Phys. Rev. A 44, 3361 (1991)
H. Ritsch, M.A.M. Marte, P. Zoller, Europhys. Lett. 19, 7 (1992)
K.M. Gheri, D.F. Walls, Phys. Rev. Lett. 68, 3428 (1992)
L.M. Duan, G. Giedke, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 84, 2722 (2000)
M.K. Olsen, A.S. Bradley, Phys. Rev. A 74, 063809 (2006)
P. van Loock, A. Furusawa, Phys. Rev. A 67, 052315 (2003)
M. Jain, H. Xia, G.Y. Yin, A.J. Merriam, S.E. Harris, Phys. Rev. Lett. 77, 4326 (1996)
D.A. Braje, V. Balic, S. Goda, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 93, 183601 (2004)
P. Kolchin, S. Du, C. Belthangady, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 97, 113602 (2006)
S. Du, P. Kolchin, C. Belthangady, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 100, 183603 (2008)
M.C. Stowe, A. Pe’er, J. Ye, Phys. Rev. Lett. 100, 203001 (2008)
B.Q. Ou, L.M. Liang, C.Z. Li, Opt. Commun. 282, 2870 (2009)
L.V. Hau, S.E. Harris, Z. Dutton, C.H. Behroozi, Nature 397, 594 (1999)
C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, Nature 409, 490 (2001)
H. Kang, Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003)
Y. Chen, C. Wang, S. Wang, I.A. Yu, Phys. Rev. Lett. 96, 043603 (2006)
J. Kitching, L. Hollberg, Phys. Rev. A 59, 4685 (1999)
O.S. Mishina, A.S. Sheremet, N.V. Larionov, D.V. Kupriyanov, Opt. Spectrosc. 108, 313 (2010)
E.A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, L. Windholz, Phys. Rev. A 59, 2302 (1999)
B.J. Dalton, P.L. Knight, Opt. Commun. 42, 411 (1982)
M. Fleischhauer, M.D. Lukin, D.E. Nikonov, M.O. Scully, Opt. Commun. 110, 351 (1994)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, X.X., Hu, X.M. Entangled entanglement in Raman lasers. Eur. Phys. J. D 62, 245–253 (2011). https://doi.org/10.1140/epjd/e2010-09661-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2010-09661-x