New Integration Transformation Connecting Coherent State and Entangled State

作者：Fan Hong Yi^*; Wang Zhen

来源：International Journal of Theoretical Physics, 2014, 53(3): 964-970.

DOI：10.1007/s10773-013-1888-5

• IWOP technique
• Hermite polynomials
• Coherent state
• Entangled state

With the help of technique of integration within an ordered product (IWOP) of operators we find new integration transformation connecting the coherent state and the biparticle entangled state. We also point out that under this kind of integration transformation the direct product of two single-variable Hermite polynomials behaves quite different from the two-variable Hermite polynomials, in this way we show that the latter is intrinsic to the phase space of quantum entanglement. As a byproduct, some operator identities for theoretical quantum optics can also be neatly expressed in terms of the two-variable Hermite polynomials.

• 出版日期2014-3
• 单位宁波大学; 常州工学院