Nonlinear supercoherent states and geometric phases for the supersymmetric harmonic oscillator
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Publication:6272623
DOI10.1140/EPJP/I2016-16151-2arXiv1604.04962MaRDI QIDQ6272623
E. Díaz-Bautista, David J. Fernández C.
Publication date: 17 April 2016
Abstract: Nonlinear supercoherent states, which are eigenstates of nonlinear deformations of the Kornbluth-Zypman annihilation operator for the supersymmetric harmonic oscillator, will be studied. They turn out to be expressed in terms of nonlinear coherent states, associated to the corresponding deformations of the standard annihilation operator. We will discuss as well the Heisenberg uncertainty relation for a special particular case, in order to compare our results with those obtained for the Kornbluth-Zypman linear supercoherent states. As the supersymmetric harmonic oscillator executes an evolution loop, such that the evolution operator becomes the identity at a certain time, thus the linear and nonlinear supercoherent states turn out to be cyclic and the corresponding geometric phases will be evaluated.
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