中国物理B ›› 2014, Vol. 23 ›› Issue (9): 90302-090302.doi: 10.1088/1674-1056/23/9/090302
笪诚, 陈千帆, 范洪义
Da Cheng (笪诚), Chen Qian-Fan (陈千帆), Fan Hong-Yi (范洪义)
摘要: We consider the quantum mechanical SU(2) transformation e2λ JzJ±e-2λ Jz=e±2λJ± as if the meaning of squeezing with e±2λ being squeezing parameter. By studying SU(2) operators (J±,Jz) from the point of view of squeezing we find that (J±,Jz) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation (the eigenvectors of J+ or J-) of the 3-mode squeezing operator e2λ Jz. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators.
中图分类号: (Quantum mechanics)