1 / 15

Spin-orbit effects on the full dynamics of double quantum dot qubit states

APS March Meeting , Boston, MA, 29 February 2012. Spin-orbit effects on the full dynamics of double quantum dot qubit states. E. Cota Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México , Ensenada, MEXICO S. E. Ulloa, J.E. Rolón

phoebe-sykes
Download Presentation

Spin-orbit effects on the full dynamics of double quantum dot qubit states

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. APS March Meeting , Boston, MA, 29 February 2012 Spin-orbit effects on the full dynamics of double quantum dot qubit states E. Cota Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México , Ensenada, MEXICO S. E. Ulloa, J.E. Rolón Department of Physics and Astronomy, Ohio University, USA G. Platero Instituto de Ciencia de Materiales de Madrid – CSIC, Madrid, SPAIN

  2. Combining rotations around two axes Petta et al (2005)

  3. Model Electron spin Hamiltonian for a single QD: Double dot: J.M. Taylor et al. PRB 76, 035315 (2007)

  4. Energy levels for finite external magnetic field (in ) Triplet: Singlet :

  5. Spin-orbit interaction introduces non-spin conserving tunneling matrix elements (Danon & Nazarov, PRB 80, 0413019 (R) (2009)) Tunneling Hamiltonian: spin indices Defining one can write, in basis

  6. Total Hamiltonian in basis HFI couples and triplet states SOI couples and triplet states Let

  7. Bloch-Feshbach Projection Method Construct effective operators acting within relevant subspace Let be the relevant subspace onto which we want to constrain the dynamics of the system : projection operator onto ; projected Green’s function onto level-shift operator The poles of give the eigenvalues of

  8. Summary • We calculate numerically the probability of measurement of in double quantum dot system, including hyperfine and spin-orbit interactions, using the complete basis. • When probabilities show oscillations, depending on the value of , corresponding to new frequencies due to coupling mainly to • Frequency of oscillations of strongly dependent on values of and detuning • Feshbach projection method allows determination of (through identification of the frequency of )

  9. P(Z)

More Related