Energy eigenvalues and squeezing properties of general systems of coupled quantum anharmonic oscillators

被引:18
作者
Chung, N. N. [1 ]
Chew, L. Y. [1 ]
机构
[1] Nanyang Technol Univ, Div Phys & Appl Phys, Sch Phys & Math Sci, Singapore 637616, Singapore
来源
PHYSICAL REVIEW A | 2007年 / 76卷 / 03期
关键词
D O I
10.1103/PhysRevA.76.032113
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We have generalized the two-step approach to the solution of systems of N coupled quantum anharmonic oscillators. By using the squeezed vacuum state of each individual oscillator, we construct the tensor product state, and obtain the optimal squeezed vacuum product state through energy minimization. We then employ this optimal state and its associated bosonic operators to define a basis set to construct the Heisenberg matrix. The diagonalization of the matrix enables us to obtain the energy eigenvalues of the coupled oscillators. In particular, we have applied our formalism to determine the eigenenergies of systems of two coupled quantum anharmonic oscillators perturbed by a general polynomial potential, as well as three and four coupled systems. Furthermore, by performing a first-order perturbation analysis about the optimal squeezed vacuum product state, we have also examined into the squeezing properties of two coupled oscillator systems.
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页数:9
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