Even and odd trio coherent states: number distribution, squeezing and realization scheme

Nguyen Ba An, Truong Minh Duc

Novel states called trio coherent states are introduced and studied. It is shown that these states possess inherent nonclassical properties such as sub-Poissonian number distributions and violation of Cauchy-Schwarz inequalities. Concerning squeezing, though the usual multimode squeezing is absent, a new type of higher-order multimode squeezing may occur in a trio coherent state. Finally, an experimental scheme is proposed to generate the introduced trio coherent state.

Christopher C. Gerry

A.‐S. F. Obada, H. H. Salah, M. A. Darwish +1 more

Salama I. Ali, Ahmed M. Mosallem

In this contribution we study a superposition of two finite dimensional trio coherent states (FTCS). The state is regarded as a correlated three-mode state in finite dimensional bases. The framework of Pegg and Barnett formalism, and the phase distribution in addition to the Poissonian distribution are examined. It is shown that the eigenvalue of the difference of the photon number (the q-parameter) is responsible for the non-classical phenomenon. Furthermore, the quasi-probability distribution functions (the Wigner and Q-functions) are also discussed. In this case and for the Wigner function the non-classical behavior is only reported for the odd values of the q-parameter.

Hyo Seok Yi, Nguyen Ba An, Jaewan Kim

We introduce a novel class of higher-order, three-mode states called K-dimensional trio coherent states. We study their mathematical properties and prove that they form a complete set in a truncated Fock space. We also study their physical content by explicitly showing that they exhibit nonclassical features such as oscillatory number distribution, sub-poissonian statistics, Cauchy-Schwarz inequality violation and phase-space quantum interferences. Finally, we propose an experimental scheme to realize the state with K=2 in the quantized vibronic motion of a trapped ion.

S. Sivakumar