Nonequilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

Jäschke, Natalie; Fischer, Andreas; Evers, E.; Belykh, V. V.; Greilich, A.; Bayer, М.; Anders, Frithjof B.

doi:10.1103/physrevb.96.205419

Cited by 29 publications

(113 citation statements)

References 43 publications

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“…We analyze the influence of the spin length and number of nuclear spins onto the fourth-order spin noise spectra using the central spin model (CSM) [39] and its extension to nuclear electric quadrupolar couplings [15,17] which is well suited to describe quantum dot systems [27,[40][41][42]. We show that the spectra calculated by our quantum mechanical method approach the results obtained by a semiclassical simulation [25,43] in the limit of larger spins and bath sizes. In the opposite limit, we are able to reproduce the higher-order spin spectra in the case of two coupled spins in a finite magnetic field presented in Ref.…”

Section: Introductionmentioning

confidence: 82%

“…While C 2 offers only information on the spin dynamics depending on one frequency, C 4 reveals the interplay between two frequencies, ω 1 = E n − E m and ω 2 = E n −E l weighed with the spin matrix element |S nm | 2 and |S nl | 2 respectively. Note that the delta-functions in the Lehmann representations (25) and (26) imply the limit T m → ∞. For a finite measuring time T m < ∞, the delta-functions are broadened by a width ∝ 1/T m .…”

Section: A Quantum Mechanical Approachmentioning

confidence: 99%

“…In an hypothetical quantum mechanical simulation with 10 5 nuclear spins, the excitation spectrum entering Eqs. (25) and (26) will be dense due to the almost continuous distribution of the hyperfine couplings A k in such a large spin ensemble. In a very small representation of the nuclear spin bath, the excitation energies become visibly discrete, and the number of different frequencies are further reduced by the degeneracies in the absence of an external magnetic field.…”

Section: A Choice Of Parametersmentioning

confidence: 99%

“…In the simulation all classical spin vectors are of length unity [25]. This necessitates the adjustment of the hyperfine coupling constants a ′ k = Sa k and of the Overhauser field b ′ N = I/S b N .…”

Section: A Choice Of Parametersmentioning

confidence: 99%

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Fourth-order spin correlation function in the extended central spin model

2019

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Spin noise spectroscopy has developed into a very powerful tool to access the electron spin dynamics. While the spin-noise power spectrum in an ensemble of quantum dots in a magnetic field is essentially understood, we argue that the investigation of the higher order cumulants promises to provide additional information not accessible by the conventional power noise spectrum. We present a quantum mechanical approach to the correlation function of the spin-noise power operators at two different frequencies for small spin bath sizes and compare the results with a simulation obtained from the classical spin dynamics for large number of nuclear spins. This bispectrum is defined as a two-dimensional frequency cut in the parameter space of the fourth-order spin correlation function. It reveals information on the influence of the nuclear-electric quadrupolar interactions on the longtime electron spin dynamics dominated by a magnetic field. For large bath sizes and spin lengths the quantum mechanical spectra converge to those of the classical simulations. The broadening of the bispectrum across the diagonal in the frequency space is a direct measure of the quadrupolar interaction strength. A narrowing is found with increasing magnetic field indicating a suppression of the influence of quadrupolar interactions in favor of the nuclear Zeeman effect.

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Section: Introductionmentioning

confidence: 82%

Section: A Quantum Mechanical Approachmentioning

confidence: 99%

Section: A Choice Of Parametersmentioning

confidence: 99%

Section: A Choice Of Parametersmentioning

confidence: 99%

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Fourth-order spin correlation function in the extended central spin model

2019

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“…Another promising outlook based on longitudinal spin mode locking is the possibility to observe longitudinal nuclear frequency focusing. This effect is by now well established in transversal Voigt geometry [34][35][36][37][38][39][40][41][42][43][44], but so far neither theoretically predicted nor experimentally observed in longitudinal Faraday geometry. The essential mechanism is commensurability of internal dynamics with the periodicity of external driving by pump pulses.…”

Section: Spin Mode Locking In Faraday Geometrymentioning

confidence: 92%

Spin inertia and polarization recovery in quantum dots: Role of pumping strength and resonant spin amplification

Schering¹,

Uhrig²,

Smirnov³

2019

Phys. Rev. Research

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Spin inertia measurements are a novel experimental tool to study long-time spin relaxation processes in semiconductor nanostructures. We develop a theory of the spin inertia effect for resident electrons and holes localized in quantum dots. We consider the spin orientation by short optical pulses with arbitrary pulse area and detuning from the trion resonance. The interaction with an external longitudinal magnetic field and the hyperfine interaction with the nuclear spin bath is considered both in the ground and excited (trion) states of the quantum dots. We analyze how the spin inertia signal depends on the magnetic field (polarization recovery), on the modulation frequency of the helicity of the pump pulses as well as on their power and detuning. In particular, we elaborate how approaching the saturation limit of the spin polarization influences the measurements. The quantitative description of spin inertia measurements will enable the determination of the parameters of spin dynamics such as the spin relaxation times in the ground and excited states and the parameters of the hyperfine interaction. Finally, we predict a novel longitudinal spin mode locking effect, which manifests itself as oscillations of the spin polarization as function of the longitudinal magnetic field.

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Theoretical Modeling of the Nuclear‐Field Induced Tuning of the Electron Spin Precession for Localized Spins

Kopteva

Yugova

Zhukov

et al. 2019

Physica Status Solidi (b)

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This work is devoted to a theoretical analysis of the effect of nuclear-induced field (Overhauser field) on the Larmor frequencies of electron spins under the periodic pulsed excitation. To describe the dynamical nuclear spin polarization, we use the model where the optically induced Stark field determines the magnitude and direction of the Overhauser field. The Stark field strongly depends on the detuning between the photon energy of excitation and the optical transition energy in the quantum system. Detailed calculations which show that the precession frequencies of fluorine donorbound electron spins in ZnSe deviate from the linear dependence of the Larmor frequencies on the external magnetic field have been performed. A similar effect is observed for the (In,Ga)As/GaAs quantum dots, where it has been shown that the Overhauser field strongly changes the spectrum of the electron spin precession frequencies.

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Nonequilibrium nuclear spin distribution function in quantum dots subject to periodic pulses

Cited by 29 publications

References 43 publications

Fourth-order spin correlation function in the extended central spin model

Fourth-order spin correlation function in the extended central spin model

Spin inertia and polarization recovery in quantum dots: Role of pumping strength and resonant spin amplification

Theoretical Modeling of the Nuclear‐Field Induced Tuning of the Electron Spin Precession for Localized Spins

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