Second-Harmonic Generation and Spin Decoupling in Resonant Two-Level Spin Systems

Boscaino, R.; Ciccarello, I.; Cusumano, C.; Strandberg, M. W. P.

doi:10.1103/physrevb.3.2675

Cited by 59 publications

(8 citation statements)

References 13 publications

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“…[13] were performed for Ᏼ F (90°) and Ᏼ F (45°) as a function of the normalized Larmor frequency 0 / for field strengths 1 / ϭ 0.25, 0.5, and 0.75. To avoid effects caused by the limited dimension of the Hamiltonians, Floquet matrices of dimensions 42 ϫ 42 were used in both cases, which cover resonances with up to 20 photons.…”

Section: Floquet Theorymentioning

confidence: 99%

“…These effects have been explained as absorption of an even or odd number of photons (12). Later second harmonics (frequency 2) of an S ϭ 1 2 system were observed with a bimodal cavity during irradiation by a microwave (mw) field of frequency ϭ 0 /2 tilted from the static magnetic field B 0 (13). Multiphoton transitions in two-level systems can also be created with several photons of different frequencies.…”

Section: Introductionmentioning

confidence: 96%

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Multiphoton Resonances in Pulse EPR

Gromov¹,

Schweiger²

2000

Journal of Magnetic Resonance

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Section: Floquet Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Multiphoton Resonances in Pulse EPR

Gromov¹,

Schweiger²

2000

Journal of Magnetic Resonance

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“…This leads to an ac magnetic field which is not strictly perpendicular to the static field, which is, in itself, sufficient to allow second-harmonic driving [21,34,35], even when the confining potential is harmonic and the field gradients are constant over the entire range of the electron motion.…”

mentioning

confidence: 99%

Second-Harmonic Coherent Driving of a Spin Qubit in a Si/SiGe Quantum Dot

et al. 2015

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We demonstrate coherent driving of a single electron spin using second-harmonic excitation in a Si/SiGe quantum dot. Our estimates suggest that the anharmonic dot confining potential combined with a gradient in the transverse magnetic field dominates the second-harmonic response. As expected, the Rabi frequency depends quadratically on the driving amplitude, and the periodicity with respect to the phase of the drive is twice that of the fundamental harmonic. The maximum Rabi frequency observed for the second harmonic is just a factor of 2 lower than that achieved for the first harmonic when driving at the same power. Combined with the lower demands on microwave circuitry when operating at half the qubit frequency, these observations indicate that second-harmonic driving can be a useful technique for future quantum computation architectures. Controlled two-level quantum systems are essential elements for quantum information processing. A natural and archetypical controlled two-level system is the electron spin doublet in the presence of an external static magnetic field [1,2]. The common method for driving transitions between the two spin states is magnetic resonance, whereby an ac magnetic field (B ac ) is applied transverse to the static magnetic field (B ext ), with a frequency, f MW , matching the spin Larmor precession frequency f L ¼ gμ B B tot =h (h is Planck's constant, μ B is the Bohr magneton, and B tot the total magnetic field acting on the spin). Coherent rotations of the spin, known as Rabi oscillations, can be observed when driving overcomes decoherence.Both spin transitions and Rabi oscillations can be driven not just at the fundamental harmonic, but also at higher harmonics, i.e., where the frequency of the transverse ac field is an integer fraction of the Larmor frequency, f MW ¼ f L =n, with n an integer. Second or higher harmonic generation involves nonlinear phenomena. Such processes are well known and explored in quantum optics using nonlinear crystals [3], and their selectivity for specific transitions is exploited in spectroscopy and microscopy [4][5][6][7][8]. Two-photon coherent transitions have also been extensively explored for biexcitons in (In,Ga)As quantum dots [9] and in superconducting qubit systems [10][11][12][13]. In cavity QED systems, a two-photon process has the advantage that it allows the direct transition from the ground state to the second excited state, which is forbidden in the dipole transition by the selection rules [14].For electron spin qubits, it has been predicted that the nonlinear dependence of the g tensor on applied electric fields should allow electric-dipole spin resonance at subharmonics of the Larmor frequency for hydrogenic donors in a semiconductor [15,16]. For electrically driven spin qubits confined in a (double) quantum dot, higherharmonic driving has been proposed that takes advantage of an anharmonic dot confining potential [17][18][19][20][21] or a spatially inhomogeneous magnetic field [22]. In order to use higher harmonic generation for coherent ...

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“…In early cw optics [1], electron paramagnetic resonance (EPR) [2,3] and nuclear magnetic resonance (NMR) [4,5] experiments, multi-photon excitation was described by absorption cross-sections or transition probabilities calculated using time-dependent perturbation theory. Where phase sensitive excitation and detection is important, as in pulsed EPR and NMR as well as more recent coherent optics experiments [6], coherent descriptions of multi-photon excitation are necessary.…”

Section: Introductionmentioning

confidence: 99%