Abstract
A kind of new continuous variable three-mode coherent-entangled state (CV-CES) is proposed in Fock space by the technique of integration within an ordered product (IWOP), which exhibits both the properties of coherent state and entangled state, and spans a complete and orthonormal representation. The conjugate state of CV-CES is derived by Fourier transformation. Moreover, the simple experimental protocol of generating a CV-CES is proposed by beam-splitters. As applications of this CV-CES, a three-mode entangled state and a three-mode squeezing-Fresnel operator are constructed.
Similar content being viewed by others
References
Glauber, R.J.: Phys. Rev. 130, 2529 (1963)
Glauber, R.J.: Phys. Rev. 131, 2766 (1963)
Cahill, K.E., Glauber, R.J.: Phys. Rev. 177, 1857 (1969)
Cahill, K.E., Glauber, R.J.: Phys. Rev. 177, 1882 (1969)
Klauder, J.R., Skargerstam, B.S.: Coherent States. World Scientific, Singapore (1985)
Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)
Fan, H.Y., Zaidi, R., Klauder, J.R.: Phys. Rev. D 35, 1831 (1987)
Fan, H.Y.: Phys. Lett. A 294, 253 (2002)
Xu, S.M., Xu, X.L., Li, H.Q.: Mod. Phys. Lett. B 22, 1673 (2008)
Xu, S.M., Xu, X.L., Li, H.Q.: Acta Phys. Sin. 57, 7430 (2008)
Xu, S.M., Xu, X.L., Li, H.Q., Wang, J.S.: Sci. China Ser. G, Phys. Mech. Astron. 52, 1027 (2009)
Li, H.Q., Xu, S.M., Xu, X.L., Wang, J.S.: Sci. China Ser. G, Phys. Mech. Astron. 52, 1813 (2009)
Fan, H.Y., Hu, L.Y.: Int. J. Mod. Phys. A 24, 2689 (2009)
Fan, H.Y., Hu, L.Y.: J. Phys. A, Math. Gen. 37, 10993 (2004)
Li, H.Q., Xu, S.M., Xu, X.L., Jiang, J.J.: Acta Phys. Sin. 58, 3806 (2009)
Fan, H.Y., Wang, W.Q.: Commun. Theor. Phys. 46, 975 (2006)
Wünsche, A.: J. Opt. B, Quantum Semiclass. Opt. 1, R11 (1999)
Walls, D.F., Milburn, G.J.: Quantum Optics. Springer, Berlin (1994)
Fan, H.Y., Hu, L.Y.: J. Phys. A, Math. Gen. 39, 14133 (2006)
Hu, L.Y., Fan, H.Y.: J. Phys. B, At. Mol. Opt. Phys. 40, 2099 (2007)
van Look, P., Braunstein, S.L.: Phys. Rev. Lett. 84, 3482 (2000)
Braunstein, S.L., van Look, P.: Rev. Mod. Phys. 77, 513 (2005)
Fan, H.Y., Liu, S.G.: Int. J. Mod. Phys. A 22, 4481 (2007)
Fan, H.Y.: Ann. Phys. 322, 866 (2007)
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Li, HQ., Ren, TQ., Zhang, YH. et al. A Kind of New Three-Mode Coherent-Entangled State and Its Application. Int J Theor Phys 50, 3560–3570 (2011). https://doi.org/10.1007/s10773-011-0864-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0864-1