In this paper we discuss our recent work on the creation of massively entangled states of millions to trillions of thermal atomic spins. We consider the particular entangled states that are also spin-squeezed states.
Department of Physics and Astronomy, Institute of Optics and Laboratory for Laser Energetics, The University of Rochester, Rochester, NY 14627, U.S.A.
References
1. M.A. Rashid, J. Math. Phys., 19, 1391, 1978; 19, 1397, 1978; D.F. Walls, P. Zoller, Phys. Rev. Lett., 47, 709, 1981; K. Wodkiewicz, J. Eberly, J. Opt. Soc. Am. B, 2, 458, 1985; M. Kitagawa, M. Ueda, Phys. Rev. Lett., 67, 1852, 1991; M. Kitagawa, M. Ueda, Phys. Rev. A, 47, 5138, 1993
3. G. Santarelli, Ph. Laurent, P. Lemonde, A. Clairon, A.G. Mann, S. Chang, A.N. Lutin, C. Salomon, Phys. Rev. Lett., 82, 4619, 1999
4. see for example L. Mandel, E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press, Cambridge (England) 1995
5. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinge, Nature, 390, 575, 1997; D. Boschi, S. Branca, F. De Martini, L. Hardy, S. Popescu, Phys. Rev. Lett., 80, 1121, 1998; A. Furusawa, J.L. Sorensen, S.L. Braunstein, C.A. Fuchs, H.J. Kimble, E.S. Polzik, Science, 282, 706, 1998
7. B. Julsgaard, A. Kozhekin, E. Polzik, Nature, 413, 400, 2001
8. A. Kuzmich, L. Mandel, J. Janis, Y.E. Young, R. Ejnisman, N.P. Bigelow, Phys. Rev. A, 60, 2346, 1999
9. A. Kuzmich, N.P. Bigelow, L. Mandel, Europhys. Lett., 42, 481, 1998
10. A. Kuzmich, L. Mandel, N.P. Bigelow, Phys. Rev. Lett., 85, 1594, 2000
11. J. Klauder, Ann. Phys. (N.Y.), 11, 123, 60; J.M. Radcliffe, J. Phys. A, 4, 313, 1971; F.T. Arecchi, E. Courtens, R. Gilmore, H. Thomas, Phys. Rev. A, 6, 2211, 1972
12. M. Kitagawa, Y. Yamamoto, Phys. Rev. A, 34, 3974, 1986
14. Y. Takahashi, K. Honda, N. Tanaka, K. Toyoda, K. Ishikawa, T. Yabuzaki, Phys. Rev. A, 60, 4974, 1999
15. A. Kuzmich, K. Molmer, E.S. Polzik, Phys. Rev. Lett., 79, 4782, 1997; J. Hald, J.L. Sorensen, C. Schori, E.S. Polzik, Phys. Rev. Lett., 83, 1319, 1999
16. H. Saito, M. Ueda, Phys. Rev. Lett., 79, 3869, 1997
17. S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. Lett., 87, 037902, 2001; D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett., 81, 3108, 1998; D. Jaksch, H.-J. Briegel, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett., 82, 1975, 1999
18. L.M. Duan, G. Giedke, J.I. Cirac, P. Zoller, Phys. Rev. Lett., 84, 2722, 2000; S. Braunstein, H.J. Kimble, Phys. Rev. A, 61, 042302, 2000