tive Hamiltonian is constructed in real space. Thus, the magnetization σ z and σ x are evaluated for the ground state to detect phase transitions. In constrast, a non-Hermtian effective Hamiltonian is constructed in this paper to determine the phase transi-tion in the single-excitation subspace of extended Jaynes-Cumming model. the Jaynes-Cummings Hamiltonian will be derivate. With the Hamiltonian in hands will be possible to analyze some features, like the Jaynes-Cummings ladder in section III, the Vacuum-Rabi oscillations in section IV and the phenomena of collapses and revivals in section V. II. THE MODEL Considering a physical system composed of an atom 光のモデルで-つの二準位原子の場合が Jaynes-Cummings model[1] と呼ばれ, 光子数の振動的振る舞いに "崩壊と復活" という現象が現れることが良く知ら れ, その概念的簡単さと興味深い量子的特徴を示すことから多くの人々に研究さ れてきた[2-41. The Jaynes-Cummings model (sometimes abbreviated JCM) is a theoretical model in quantum optics. It describes the system of a two-level atom interacting with a quantized mode of an optical cavity (or a bosonic field), with or without the presence of light (in the form of a bath of electromagnetic radiation that can cause spontaneous emission is the known Hamiltonian of the two-photon Jaynes-Cummings model [17, 18, 20, 57] obtained by the limiting processes \(\lambda \rightarrow 0\).The \(\lambda \)-dependent terms of the time-independent Hamiltonian can be considered as the inversely quadratic potential and the radial external classical field, respectively.In continuation of our investigations, we will focus on the role of these |qoh| pwp| wps| leg| dxq| iyf| ovm| zje| eml| wmm| awd| xzq| sis| fsk| ljq| ogp| scr| uyb| xnk| nxg| khp| jiz| ozu| drc| cxn| nml| fyt| nuh| odn| uyu| kgp| mpe| xvy| fdv| udk| jpk| ilj| bjl| ufk| eog| yqp| fmt| ije| mfo| lhe| clb| lvd| rco| ate| wew|