The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model

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dc.creatorScarola, V. W.
dc.creatorSarma, S. Das
dc.date2004-10-20
dc.date2005-09-14
dc.date.accessioned2026-07-07T03:01:36Z
dc.date.available2026-07-07T03:01:36Z
dc.descriptionSolid state quantum computing proposals rely on adiabatic operations of the exchange gate among localized spins in nanostructures. We study corrections to the Heisenberg interaction between lateral semiconductor quantum dots in an external magnetic field. Using exact diagonalization we obtain the regime of validity of the adiabatic approximation. We also find qualitative corrections to the Heisenberg model at high magnetic fields and in looped arrays of spins. Looped geometries of localized spins generate flux dependent, multi-spin terms which go beyond the basic Heisenberg model.
dc.description13 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0410521
dc.identifierhttp://arxiv.org/abs/cond-mat/0410521
dc.identifierPhys. Rev. A 71, 032340 (2005)
dc.identifierdoi:10.1103/PhysRevA.71.032340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25106
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleThe Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model
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