Two-mode nonlinear coherent states

Two-mode nonlinear coherent states are introduced in this paper. The pair c oherent states and the two-mode Perelomov coherent states are special cases of the two-mode nonlinear coherent states. The exponential form of the two -mode nonlinear coherent states is given. The photon-added or photon-subtra cted two-mode nonlinear coherent states are found to be two-mode nonlinear coherent states with different nonlinear functions. The parity coherent sta tes are introduced as examples of two-mode nonlinear coherent states, and t hey are superpositions of two corresponding coherent states. We also discus s how to generate the parity coherent states in the Kerr medium. (C) 2000 P ublished by Elsevier Science B.V. All rights reserved.