Numerical study of quasiparticle lifetime in quantum dots

Abstract

The decay rate of quasiparticles in quantum dots is studied through the real time calculation of the single-particle Green function in the self-consistent approximation. The method avoids exact diagonalization, transforming the problem into a system of coupled non-linear integral equations which may be solved iteratively. That allows us to study systems larger than previously treated in the literature. Our results for the inverse participation ratio of many-body states show that the threshold energy for the quasiparticle disintegration is $E^{\ast }\sim \sqrt{g}\Delta$. The delocalization transition is soft rather than sharp. Three different regimes as function of the effective interaction strength may be clearly identified at high energies.

RevTex, 9 pages, 7 EPS figures

References in corpus (1)

• Unconventional decay law for excited states in closed many-body systems

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