标题： 两模压缩态的几何相位 显示英文标题

标题： Geometric phases for two-mode squeezed state

摘要： 尽管单模压缩态的几何相位已经得到了详细研究，但双模压缩态的对应情况却尚属空白。本文将对其进行明确评估。此外，总相位因子具有优美的形式，正好与两个压缩算符乘积的一项相同。此外，当该系统经历循环演化时，得到相应的几何相位，这正好是两个独立单模压缩态对应几何相位的和。最后，建立了双模压缩态的循环几何相位与纠缠之间的关系。 显示英文摘要

摘要： Although the geometric phase for one-mode squeezed state had been studied in detail, the counterpart for two-mode squeezed state is vacant. It is be evaluated explicitly in this paper. Furthermore, the total phase factor is in an elegent form, which is just identical to one term of product of two squeezed operators. In addition, when this system undergoes cyclic evolutions, the corresponding geometric phase is obtained, which is just the sum of the counterparts of two isolated one-mode squeezed state. Finally, the relationship between the cyclic geomtric phase and entanglement of two-mode squeezed state is established.