Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling
arXiv:cond-mat/0602512 · doi:10.1103/PhysRevB.73.125330
Abstract
We propose that n-type semiconductor quantum dots with the Rashba and Dresselhaus spin orbit interactions may be used for single electron manipulation through adiabatic transformations between degenerate states. All the energy levels are discrete in quantum dots and possess a double degeneracy due to time reversal symmetryin the presence of the Rashba and/or Dresselhaus spin orbit coupling terms. We find that the presence of double degeneracy does not necessarily give rise to a finite non-Abelian (matrix) Berry phase. We show that a distorted two-dimensional harmonic potential may give rise to non-Abelian Berry phases. The presence of the non-Abelian Berry phase may be tested experimentally by measuring the optical dipole transitions.
accepted in Phys. Rev. B
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- Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling
- Spin dynamics of cold fermions with synthetic spin-orbit coupling
- Spectral properties and magneto-optical excitations in semiconductor double-rings under Rashba spin-orbit interaction
- Spin-orbit induced equilibrium spin currents in materials
- Gate control of Berry phase in III-V semiconductor quantum dots
- Control of many electron states in semiconductor quantum dots by non-Abelian vector potentials
- Pumping in quantum dots and non-Abelian matrix Berry phases
- Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot