Dynamics and decoherence in the central spin model in the low-field limit

Stanek, Daniel; Raas, Carsten; Uhrig, Götz S.

doi:10.1103/physrevb.88.155305

Cited by 52 publications

(121 citation statements)

References 55 publications

Supporting

Mentioning

118

Contrasting

Order By: Relevance

“…Our approach is based on the observation that the Overhauser field generated by the large number of nuclei spin behaves as a classical variable in leading order [5,[9][10][11], particularly in a large external magnetic field. Chen at al.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2017

View full text Add to dashboard Cite

Electron spin dephasing in a singly charged semiconductor quantum dot can partially be suppressed by periodic laser pulsing. We propose a semi-classical approach describing the decoherence of the electron spin polarization governed by the hyperfine interaction with the nuclear spins as well as the probabilistic nature of the photon absorption. We use the steady-state Floquet condition to analytically derive two subclasses of resonance conditions excellently predicting the peak locations in the part of the Overhauser field distribution which is projected in the direction of the external magnetic field. As a consequence of the periodic pulsing, a non-equilibrium distribution develops as a function of time. The numerical simulation of the coupled dynamics reveals the influence of the hyperfine coupling constant distribution onto the evolution of the electron spin polarisation before the next laser pulse. Experimental indications are provided for both subclasses of resonance conditions.

show abstract

Section: Introductionmentioning

confidence: 99%

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

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Although we have seen impressive advances in simulation methods 23,24,[36][37][38] for large spin systems in the last decade, there still exists rooms for improvement.…”

Section: B Physical Spin Bathmentioning

confidence: 99%

A unified stochastic formulation of dissipative quantum dynamics. II. Beyond linear response of spin baths

Hsieh

Cao

2018

The Journal of Chemical Physics

View full text Add to dashboard Cite

We use the "generalized hierarchical equation of motion" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath in dynamical calculations. We investigate the leading order corrections to the linear response approximations for spin bath models. Two types of spin-based environments are considered: (1) a bath of spins discretized from a continuous spectral density and (2) a bath of physical spins such as nuclear or electron spins. The main difference resides with how the bath frequency and the system-bath coupling parameters are chosen to represent an environment. When discretized from a continuous spectral density,

show abstract

“…Both in GaAs and InAs, there are three species of nuclei possessing nonvanishing angular momenta, and the coupling between electron and nuclear spins (mostly through contact interaction) strongly influences electron-spin dynamics. Primarily, this coupling has a destructive effect causing electron-spin relaxation, and many theoretical studies have focused on the challenging problem of determining the relaxation rate of an electron spin interacting with about N ≈ 10 6 nuclear spins [13][14][15][16][17][18][19][20]. The problem of an electron spin interacting with a bath of nuclear spins is known as the central spin problem.…”

Section: Introductionmentioning

confidence: 99%

Self-quenching of nuclear spin dynamics in the central spin problem

Brataas

Rashba

2014

Phys. Rev. B

View full text Add to dashboard Cite

We consider, in the framework of the central spin s = 1/2 model, driven dynamics of two electrons in a double quantum dot subject to hyperfine interaction with nuclear spins and spin-orbit coupling. The nuclear subsystem dynamically evolves in response to Landau-Zener singlet-triplet transitions of the electronic subsystem controlled by external gate voltages. Without noise and spin-orbit coupling, subsequent Landau-Zener transitions die out after about 10 4 sweeps, the system self-quenches, and nuclear spins reach one of the numerous glassy dark states. We present an analytical model that captures this phenomenon. We also account for the multi-nuclear-specie content of the dots and numerically determine the evolution of around 10 7 nuclear spins in up to 2 × 10 5 Landau-Zener transitions. Without spin-orbit coupling, self-quenching is robust and sets in for arbitrary ratios of the nuclear spin precession times and the waiting time between Landau-Zener sweeps as well as under moderate noise. In the presence of spin-orbit coupling of a moderate magnitude, and when the waiting time is in resonance with the precession time of one of the nuclear species, the dynamical evolution of nuclear polarization results in stroboscopic screening of spin-orbit coupling. However, small deviations from the resonance or strong spin-orbit coupling destroy this screening. We suggest that the success of the feedback loop technique for building nuclear gradients is based on the effect of spin-orbit coupling.

show abstract

Dynamics and decoherence in the central spin model in the low-field limit

Cited by 52 publications

References 55 publications

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

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

A unified stochastic formulation of dissipative quantum dynamics. II. Beyond linear response of spin baths

Self-quenching of nuclear spin dynamics in the central spin problem

Contact Info

Product

Resources

About