Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot

Simple item page
dc.creatorChen, Gang
dc.creatorBergman, Doron L.
dc.creatorBalents, Leon
dc.date2007-03-23
dc.date2007-06-15
dc.date.accessioned2026-07-07T08:26:13Z
dc.date.available2026-07-07T08:26:13Z
dc.descriptionThe spin of an electron trapped in a quantum dot is a promising candidate implementation of a qubit for quantum information processing. We study the central spin problem of the effect of the hyperfine interaction between such an electron and a large number of nuclear moments. Using a spin coherent path integral, we show that in this limit the electron spin evolution is well described by classical dynamics of both the nuclear and electron spins. We then introduce approximate yet systematic methods to analyze aspects of the classical dynamics, and discuss the importance of the exact integrability of the central spin Hamiltonian. This is compared with numerical simulation. Finally, we obtain the asymptotic long time decay of the electron spin polarization. We show that this is insensitive to integrability, and determined instead by the transfer of angular momentum to very weakly coupled spins far from the center of the quantum dot. The specific form of the decay is shown to depend sensitively on the form of the electronic wavefunction.
dc.description13 pages, 4 figures, accepted by PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0703631
dc.identifierhttp://arxiv.org/abs/cond-mat/0703631
dc.identifierPhys. Rev. B 76, 045312 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.045312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136866
dc.subjectMesoscale and Nanoscale Physics
dc.titleSemiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
dc.typetext

Files

Collections

arXiv