Chinese Physics

Application of new entangled state representation to a two-coupled oscillator system

Pang Qian-Jun

Published Jun 23, 2005• 4 citations

Abstract

We study the eigenstate problem of a two-coupled oscillator system. A new entangled state representation |γ composed of the common eigenvectors of operators (x1+p2) and (p1+x2) is established. Eigenvalues and eigenvectors of the Hamiltonian are obtained in |γ representations. The same problem is studied in the second-quantization representation. We find that the second-quantization representation can be used to derive the normally ordered product expression of eigenvector in Fock space. In particular, we find that the ground state of the Hamiltonian is a kind of generalized two-mode squeezed state.

DOI: 10.1088/1009-1963/14/7/007

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