物理学报2016，Vol.65Issue(3)：030301-1-030301-7,7.DOI:10.7498/aps.65.030301
两能级原子主方程和激光通道主方程的解之间的超对称性∗
Sup ersymmetry of the solution to the master equation b etween two-level atom and laser channel
摘要
Abstract
We propose a new Ket-Bra entangled state (KBES) method to solve the master equation of finite-level system. The KBES method can convert the master equation into Schrödinger-like equation which is easier to solve than the master equation, and Schrödinger equation in a certain form can also be used to solve the Schrödinger-like equation. Thus the KBES method has a wider application range. In the paper, we mainly study the master equation of the two-level atom. The corresponding master equation is solved by the KBES method, and for the first time we obtain the opera-sum solution of the atom. Furthermore, we compare this result with the well known solution that describes the laser channel. There is much analogousness between both opera-sum solutions, which show that there is some supersymmetry between Bose creation-annihilation operator and upper-down transition operators of atom. Finally, we further analyze the supersymmetry between the bose and atom system, and find that the spin-up and spin-down operator can be represented by the creation and annihilation operator repectively, which can be achieved in infinite ways. It is easy to understand that the bose operator is infinite-level while the spin operator is two-level, thus the creation-annihilation operator is super-complete for the spin operator. Thus the representation is not unique, and all of this directly shows and proves the supersymmetry.关键词
Ket-Bra纠缠态方法/原子主方程/Kraus形式的解/超对称Key words
Ket-Bra entangled state method/atomic master equation/Kraus form solution/supersym-metry引用本文复制引用
任益充,范洪义..两能级原子主方程和激光通道主方程的解之间的超对称性∗[J].物理学报,2016,65(3):030301-1-030301-7,7.基金项目
国家自然科学基金(批准号:11574295)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11574295) （批准号:11574295）
