Abstract
Multiparticle entangled states generated via interaction between narrowband light and an ensemble of identical two-level atoms are considered. Depending on the initial photon statistics, correlation between atoms and photons can give rise to entangled states of these systems. It is found that the state of any pair of atoms interacting with weak single-mode squeezed light is inseparable and robust against decay. Optical schemes for preparing entangled states of atomic ensembles by projective measurement are described.
Similar content being viewed by others
References
B. Julsgaard, A. Kozhekin, and E. S. Polzik, Nature 413, 400 (2001).
C. Monroe, D. M. Meekhof, B. E. King, et al., Phys. Rev. Lett. 75, 4714 (1995).
E. Hagley, X. Maître, G. Nogues, et al., Phys. Rev. Lett. 79, 1 (1997).
G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, Phys. Rev. Lett. 82, 1060 (1999).
A. V. Burlakov, M. V. Chekhova, and O. A. Karabutova, Phys. Rev. A 60, 4209 (1999); A. V. Burlakov and M. V. Chekhova, Pis’ma Zh. Éksp. Teor. Fiz. 75, 505 (2002) [JETP Lett. 75, 432 (2002)]; A. V. Burlakov, L. A. Krivitskii, S. P. Kulik, et al., Opt. Spektrosk. 94, 743 (2003) [Opt. Spectrosc. 94, 684 (2003)]; Yu. I. Bogdanov, L. A. Krivitskii, and S. P. Kulik, Pis’ma Zh. Éksp. Teor. Fiz. 78, 804 (2003) [JETP Lett. 78, 352 (2003)]; L. A. Krivitskii, S. P. Kulik, A. N. Penin, and M. V. Chekhova, Zh. Éksp. Teor. Fiz. 124, 943 (2003) [JETP 97, 846 (2003)].
W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A 62, 062314 (2000).
M. Eibl, N. Kiesel, M. Bourennane, et al., Phys. Rev. Lett. 92, 077901 (2004).
F. Verstraete, J. Dehaene, B. De Moor, and H. Verschelde, Phys. Rev. A 65, 052112 (2002).
A. Peres, Phys. Rev. Lett. 77, 1413 (1996); M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
A. M. Basharov, Pis’ma Zh. Éksp. Teor. Fiz. 75, 151 (2002) [JETP Lett. 75, 123 (2002)]; Zh. Éksp. Teor. Fiz. 121, 1249 (2002) [JETP 94, 1070 (2002)].
M. Plesch, J. Novotny, Z. Dzurakova, and V. Buzek, J. Phys. A: Math. Gen. 37, 1843 (2004).
W. Dür, Phys. Rev. A 63, 020303 (2001).
J. K. Stockton, J. M. Geremia, A. C. Doherty, and H. Mabuchi, Phys. Rev. A 67, 022112 (2003).
V. Buzek and M. Hillery, Phys. Rev. A 54, 1844 (1996); M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, Phys. Rev. A 59, 156 (1999).
J. Joo, Y.-J. Park, J. Lee, and J. Jang, quant-ph/0204003.
V. N. Gorbachev, A. I. Trubilko, A. A. Rodichkina, and A. I. Zhiliba, Phys. Lett. A 314, 267 (2003).
E. Knill, R. Laflamme, and G. J. Milburn, Nature 409, 46 (2001).
R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001).
R. Dicke, Phys. Rev. 93, 99 (1954).
A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Cooperative Phenomena in Optics (Nauka, Moscow, 1988) [in Russian].
H. Hammer, quant-ph/0407094.
A. Olaya-Castro, N. F. Johnson, and L. Quiroga, Phys. Rev. A 70, 020301 (2004).
N. Gisin and S. Popescu, Phys. Rev. Lett. 83, 432 (1999).
A. M. Basharov, Method of Unitary Transformation in Nonlinear Optics (Mosk. Inzh.-Fiz. Inst., Moscow, 1990) [in Russian]; Zh. Éksp. Teor. Fiz. 102, 1126 (1992) [Sov. Phys. JETP 75, 611 (1992)].
D. V. Kupriyanov, I. M. Sokolov, and A. V. Slavgorodskii, Phys. Rev. A 63, 063811 (2001); 68, 043815 (2003).
V. N. Gorbachev, A. I. Zhiliba, A. A. Rodichkina, and A. I. Trubilko, Phys. Lett. A 323, 339 (2004).
H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. 86, 910 (2001); R. Raussendorf, D. E. Browne, and H. J. Briegel, quant-ph/0301052.
A. M. Basharov and É. A. Manykin, Opt. Spektrosk. 96, 91 (2004) [Opt. Spectrosc. 96, 81 (2004)].
S. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Row, Peterson, Evanston, Ill, 1961; Inostrannaya Literatura, Moscow, 1963).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 128, No. 1, 2005, pp. 42–53.
Original Russian Text Copyright © 2005 by Gorbachev, Trubilko.
Rights and permissions
About this article
Cite this article
Gorbachev, V.N., Trubilko, A.I. Multiparticle entanglement via resonant interaction between light and atomic ensembles. J. Exp. Theor. Phys. 101, 33–43 (2005). https://doi.org/10.1134/1.2010659
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.2010659