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Multiphoton coherent driving in harmonic and non-harmonic spin systems

Multiphoton coherent driving in harmonic and non-harmonic spin systems. Irinel Chiorescu- Dept of Physics FSU & NHMFL. www.physics.fsu.edu. Tallahassee, FL. Graduate Program! www.physics.fsu.edu. Collaborators. postdoc: Sylvain Bertaina (moving to CNRS-Marseille, France)

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Multiphoton coherent driving in harmonic and non-harmonic spin systems

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  1. Multiphoton coherent driving in harmonic and non-harmonic spin systems Irinel Chiorescu- Dept of Physics FSU & NHMFL

  2. www.physics.fsu.edu Tallahassee, FL Graduate Program! www.physics.fsu.edu

  3. Collaborators • postdoc: Sylvain Bertaina (moving to CNRS-Marseille, France) • grad students: Nick Groll, Lei Chen Dept. of Chemistry, Florida State Univ. Prof. Naresh Dalal The EPR group at NHMFL Dr. J. van Tol Dr. S. Nellutla Dept of Physics, Michigan State University Prof. M. Dykman Funding: NSF-Career, DARPA, NHMFL, Alfred P. Sloan Foundation

  4. Spin coherence with Mn spins • Mn diluted in MgO single crystal • Spin Hamiltonian H = a/6 [Sx4+Sy4+Sz4- S(S+1)(3S2-1)/5] +gmBH0·S-AS·I g = 2.0025, a = 55.7 MHz, A = 244 MHz, S = I = 5/2

  5. Room Temperature Spectroscopy Data Spin levels, fixed mI : anisotropy  non-harmonic 5/2 3/2 1/2 -1/2 -3/2 -5/2 At low power, for a given mI, one see mostly the central resonance -1/2  1/2 DmI=0, |DmS|=1

  6. Continuous wave multiphoton spectroscopy H0 || [110], mI=-3/2

  7. Room temperature Rabi oscillations • EPR measurement of <Sx> by Free Induction Decay method • Rabi frequency ~21 MHz • Rabi decay time ~200 ns mI=-5/2, H0 || [100]

  8. Multi-photon/multi-level spin control 4 2 Rabi oscillations showing <Sz> as a function of MW pulse length for different MW powers. Calculated dressed states diagrams. The level splittings give the Rabi frequency corresponding to each multi-photon coherent qubit nutation. H0 || (1,0.8,1), mI=-3/2

  9. Numerical Simulations S. Bertaina (FSU & CNRS-Marseille, France) • Anisotropy and hyperfine terms << Zeeman term: • neglect forbidden transition, that is DmI=0 indeed. • diagonalize H in a given mI subspace  HmI • external field good quantization axis , apply RFA: HmI  static Hrot • diagonalize Hrot  energy diagram (dressed states picture) • time evolution of the density matrix  time and temperature dependence of <Sx,y,z> (Gaussian profile for the resonance)

  10. Effect of anisotropy

  11. The compensation angle

  12. Non-harmonic  Harmonic Rabi frequency in a two level system: hFRcomp = 1/2 gmBhmw Rabi frequency between two consecutive levels, in a multi-level system: hFR1 = 1/2 gmBhmw(S(S+1)-Sz(Sz+1)) Sz = -1/2  1/2 , for q around 0° FR1/FRcomp = 53.5 MHz / 18.07 MHz =2.96 At q=qcomp : non-harmonic harmonic multi-level system with a 2-level system dynamics

  13. Multi-photon Rabi oscillations T=40K, H0 || [101] and mI=-3/2

  14. Qcomp at room temperature RT, hmw=0.52 mT: FR1/FRcomp = 21 MHz / 7 MHz =3 (to be compared with 2.96 at hmw=1.34 mT)

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