中文摘要：

研究了囚禁于远离共振的光势阱中的∧型冷原子与腔模相互作用系统．从Heisenberg—Langevin方程出发，在大失谐的条件下，绝热消除原子最高能级上的粒子布居数．在此情况下，通过进一步分析腔场算符和原子场算符的Heisenberg—Langevin方程，得出了该系统的有效哈密顿量．

英文摘要：

We investigate the low temperature physics of ∧-type cold atoms trapped in optical lattice interacting with cavity modes. Starting from the Heisenberg-Langevin equations, we adiabatically eliminate the top atomic state at large atom-pump detuning. The effective Hamiltonian of the system can be obtained by analyzing the Heisenberg-Langevin equations of the cavity modes and the atom field operator.