Evolution as the Expansion of Coherent States

A. Kuriyama, Masatoshi Yamamura, Constança Providência +2 more

The Marumori–Yamamura–Tokunga boson expansion is used to describe multiboson processes. The reliability of the time evolution predicted by generalized coherent states has been investigated numerically by comparing its dynamics with the exact one. A link between the generalized coherent states and deformed bosons is established.

Prakash Chand

C. L. Mehta, E. C. G. Sudarshan

Binglu Hu, Huili Zhou, Shujie Chen +2 more

Abstract We study the dynamical properties of the quantum Rabi model using a systematic expansion method. Based on the observation that the parity symmetry of the Rabi model is kept during evolution of the states, we decompose the initial state and the time-dependent one into positive and negative parity parts expanded by superposition of the coherent states. The evolutions of the corresponding positive and the negative parities are obtained, in which the expansion coefficients in the dynamical equations are known from the derived recurrence relation.

Véronique Hussin, Vicente Said Morales-Salgado

We define linear and quadratic coherent states for the supersymmetric partners of the quantum infinite well through formal series expansions of the energy eigenfunctions of the systems and we study the appropriateness of this definitions as coherent states by means of their properties. In particular, we examine the localization in position and time evolution, minimum uncertainty relations and the behavior of the Wigner function.

Antoni Trias