Superpositions of the SU(1, 1) coherent states

X.G. Wang, Roger Yu

Shi‐Biao Zheng

Kae Nemoto, Barry C. Sanders

We show that a nonlinear Hamiltonian evolution can transform an SU (3) coherent state into a superposition of distinct SU (3) coherent states, with a superposition of two SU (2) coherent states presented as a special case. A phase-space representation is depicted by projecting the multi-dimensional Q -symbol for the state to a spherical subdomain of the coset space. We discuss realizations of this nonlinear evolution in the contexts of nonlinear optics and Bose-Einstein condensates.

Blagovest A. Nikolov, D. A. Trifonov

LU HONG, Guo Guang-Can, (1)广东佛山科学技术学院应用物理与通信工程系,佛山 528000；中国科学技术大学物理系和非线性科学中心,合肥 230026; (2)中国科学技术大学物理系和非线性科学中心,合肥 230026

We study the statistical properties in the superpositions of SU(1,1) coherent states ｜ζ，k〉and ｜ζ，k〉. The even SU(1,1) coherent state (｜ζ，1/4〉) and odd SU(1,1) coherent state (｜ζ，3/4〉) correspond to squeezed vacuum state and squeezed one photon number state, respectively. It is shown that the superposed states can exhibit much stronger squeezing and antibunching for the suitable phase of ζ and the relative phase in superposition. We also propose a method of generating such superposed states.

K. Berrada, M. El Baz, Y. Hassouni