Atom Squeezing Effect In One-dimensional Dissipative Cavity

With the establishment of quantum optics, the study of the interaction betweenthe atom and light has made significant developments, such as laser cooling andtrapping atoms, Bose-Einstein condensates and the discovery of optical coherentstates. Meanwhile, quantum optics also contributed to the rapid development of otherindustries.Micro-cavity provides special boundary conditions for the interaction betweenthe field and atoms, atoms in cavity are different from one in free space: theelectromagnetic field modes in ideal micro-cavity with standing wave pattern arecalled normal modes; The electromagnetic field modes in dissipation cavity isdescribed as quasi-modes, and the properties of atoms in the dissipative cavity ischanged, for example, the restrained spontaneous emission rate of atoms and thesqueezing properties in the x, y direction affected by dissipation of cavity.With quasi-mode theory, we consider the squeezing properties of atoms inone-dimension dissipative cavity. We calculate the time evolution of the field andatom operators in one atom and multi modes system, as well as compression of atomsin the x, y directions. In the end, we discuss the atomic compression effects in thedissipative cavity.