Erratum: Control of many-electron states in semiconductor quantum dots by non-Abelian vector potentials [Phys. Rev. B<b>75</b>, 245328 (2007)]

Yang, Shuhui

doi:10.1103/physrevb.85.239902

Cited by 3 publications

(3 citation statements)

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“…Comparing the calculations of the density matrix in Refs. [24][25][26][27][28][29][30][31][32] we find that there are some differences 084211-3 from our results. In order to calculate the correlation function, the evolution is separated into three segments (𝜏 1 , 𝜏 2 , 𝜏 3 ).…”

Section: (𝑐)contrasting

confidence: 88%

Two-Dimensional Nonlinear Laser Spectra Calculations with Numerical Path Integral

Liang¹

2012

Chinese Phys. Lett.

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Two-dimensional three-order nonlinear response functions and the laser spectra of the two-level Frenkel-exciton model, interacting with three short laser pulses in direction -k1 + k2 + k3, are calculated using the numerical path integral. The method is non-Markovian and the results show that the numerical simulation scheme provides a new pathway for theoretically investigating the multidimensional ultrafast laser spectra including the non-Markovian effects.

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Section: (𝑐)contrasting

confidence: 88%

Two-Dimensional Nonlinear Laser Spectra Calculations with Numerical Path Integral

Liang¹

2012

Chinese Phys. Lett.

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“…where the z− axis is oriented along the growth direction and the x-axis is that of the unit cell. Here we use transformation (24) with h =(0, 0, 1), ν = (1, 0), and θ(x, y) = 2mαx to obtain:…”

Section: Proachmentioning

confidence: 99%

Gauge theory approach for diffusive and precessional spin dynamics in a two-dimensional electron gas

Tokatly

Sherman

2010

Annals of Physics

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We develop a gauge theory for diffusive and precessional spin dynamics in two-dimensional electron gas with disorder. Our approach reveals a direct connections between the absence of the equilibrium spin current and strong anisotropy in the spin relaxation: both effects arise if the spinorbit coupling is reduced to a pure gauge SU (2) field. In this case, by a gauge transformation in the form of a local SU (2) rotation in the spin subspace the spin-orbit coupling can be removed. The resulting spin dynamics is exactly described in terms of two kinetic coefficients: the spin diffusion and electron mobility. After the inverse transformation, full diffusive and precessional spin density dynamics, including the anisotropic spin relaxation, formation of stable spin structures, and spin precession induced by a macroscopic current, is restored. Explicit solutions of the spin evolution equations are found for the initially uniform spin density and for stable nonuniform structures.Our analysis demonstrates a universal relation between the spin relaxation rate and spin diffusion coefficient.

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“…1,2,10,11 Alternatively, a more robust technique can be applied to manipulate single electron spins in QDs through the non-Abelean geometric phases. [12][13][14][15][16][17][18] For a system of degenerate quantum states, Wilczek and Zee showed that the geometric phase factor is replaced by a non-Abelian time dependent unitary operator acting on the initial states within the subspace of degeneracy. 19,20 Since then, the geometric phase has been measured experimentally for a variety of systems, such as quantum states driven by a microwave field 21 and qubits with tilted magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Gate control of Berry phase in III-V semiconductor quantum dots

2014

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Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to the electric fields arising from the interplay between the Rashba and the Dresselhaus spin-orbit couplings. We report that the accumulated Berry phase can be induced from other available quantum state that are only differed by one quantum number of the same spin state. The sign change in the g-factor due to the penetration of the Bloch wavefunctions into the barrier material can be reflected in the Berry phase. We solve the time dependent Schr$\mathrm{\ddot{o}}$dinger equation and investigate the evolution of the spin dynamics during the adiabatic movement of the QDs in the 2D plane. Our results might open the possibilities of building a topological quantum dot quantum computer where the Berry phase can be engineered and can be manipulated with the application of the spin-orbit couplings through gate controlled electric fields.Comment: 10 pages, 11 figure

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Erratum: Control of many-electron states in semiconductor quantum dots by non-Abelian vector potentials [Phys. Rev. B75, 245328 (2007)]

Cited by 3 publications

References 1 publication

Two-Dimensional Nonlinear Laser Spectra Calculations with Numerical Path Integral

Two-Dimensional Nonlinear Laser Spectra Calculations with Numerical Path Integral

Gauge theory approach for diffusive and precessional spin dynamics in a two-dimensional electron gas

Gate control of Berry phase in III-V semiconductor quantum dots

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