Maintenance of Coherence and Polarization Evolution in a Supersymmetric Multiphoton Model

超对称量子力学、多光子代数与相干态

Supersymmetric Quantum Mechanics, multiphoton algebras and coherent states

本文研究了具有无穷离散谱的一维哈密顿量及其 k 阶 SUSY 伴的多光子代数，发现其为单光子代数的多项式形变，并探讨了 Barut-Girardello 相干态的不确定性关系。

Multiphoton supercoherent states

In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the $m$-th power of a special form (but still with a free parameter) of the Kornbluth-Zypman supersymmetric annihilation operator. They become expressed in terms of the multiphoton coherent states for the standard harmonic oscillator. The Heisenberg uncertainty relation and some statistical properties for these states will be studied. Since the multiphoton supercoherent states turn out to be periodic, then the associated geometric phases will be as well evaluate…

Explicit formula for the external driving field used to eliminate the decoherence of a two-state system coupled to a noise field

The elimination of decoherence of a multiphoton two-state quantum system by using an appropriate external driving field is considered. The multiphoton process caused by the noise field has a supersymmetric Lie algebraic structure. The time-evolution equations for the off-diagonal elements of the density operator of the two-state system are derived in the interaction picture. A simple explicit formula is given for the time-dependent external driving field used to eliminate the decoherence of the multiphoton two-state system.

Exact solutions to the time-dependent supersymmetric muliphoton Jaynes-Cummings model and the Chiao-Wu model

By using both the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation formulation, the present paper obtains the exact solutions to the time-dependent supersymmetric two-level multiphoton Jaynes-Cummings model and the Chiao-Wu model that describes the propagation of a photon inside the optical fiber. On the basis of the fact that the two-level multiphoton Jaynes-Cummings model possesses the supersymmetric structure, an invariant is constructed in terms of the supersymmetric generators by working in the sub-Hilbert-space corresponding to a particular eigenvalue of…

非线性与线性量子光学中的超对称：Kerr-like与多光子Jaynes-Cummings模型

Supersymmetry in nonlinear and linear Quantum Optics: the Kerr-like and multiphoton Jaynes-Cummings models

提出基于超对称映射的新方法，精确解析腔量子电动力学中反向旋转哈密顿相互作用，揭示其有趣特征与潜在技术应用，为构造精确可解光子系统提供有用工具。