Dynamics of the inhomogeneous Dicke model
Abstract
We study the time dynamics of a single boson coupled to a bath of two-level systems (spins 1/2) with different excitation energies, described by an inhomogeneous Dicke model. Analyzing the time-dependent Schrodinger equation exactly we find that at resonance the boson decays in time to an oscillatory state with a finite amplitude characterized by a single Rabi frequency if the inhomogeneity is below a certain threshold. In the limit of small inhomogeneity, the decay is suppressed and exhibits a complex (mainly Gaussian-like) behavior, whereas the decay is complete and of exponential form in the opposite limit. For intermediate inhomogeneity, the boson decay is partial and governed by a combination of exponential and power laws.
Keywords
Cite
@article{arxiv.0811.2386,
title = {Dynamics of the inhomogeneous Dicke model},
author = {Oleksandr Tsyplyatyev and Daniel Loss},
journal= {arXiv preprint arXiv:0811.2386},
year = {2015}
}
Comments
6 pages, 1 figure