Dynamics of the inhomogeneous Dicke model

Details Dynamics of the inhomogeneous Dicke model Dynamics of the inhomogeneous Dicke model

2008-11-14

arxiv.org/abs/0811.2386v2

Phys. Rev. A 80, 023803 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 1 figure

Scientific paper

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.

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