Hyperfine induced electron spin and entanglement dynamics in double quantum dots: The case of separate baths

Abstract

We consider a system of two strongly coupled electron spins in zero magnetic field, each of which is interacting with an individual bath of nuclear spins via the hyperfine interaction. Applying the long spin approximation (LSA) introduced in Europhys. Lett. 95, 47009 (here each bath is replaced by a single long spin), we numerically study the electron spin and entanglement dynamics. We demonstrate that the decoherence time is scaling with the bath size according to a power law. As expected, the decaying part of the dynamics decreases with increasing bath polarization. However, surprisingly it turns out that, under certain circumstances, combining quantum dots of different geometry to the double dot setup has a very similar effect on the magnitude of the spin decay. Finally, we show that even for a comparatively weak exchange coupling the electron spins can be fully entangled.

9 pages, 10 figures

References in corpus (15)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Solid state quantum memory using the 31P nuclear spin
• Spin-echo of a single electron spin in a quantum dot
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Nuclear Spins in Nanostructures
• Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots
• Electron spin phase relaxation of phosphorus donors in nuclear spin enriched silicon
• Quantum Description of Nuclear Spin Cooling in a Quantum Dot
• Nuclear spin dynamics and Zeno effect in quantum dots and defect centers
• Spin- and entanglement-dynamics in the central spin model with homogeneous couplings
• Electrostatically defined Quantum Dots in a Si/SiGe Heterostructure
• Entanglement generation via a completely mixed nuclear spin bath
• Swapping and entangling hyperfine coupled nuclear spin baths
• Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings

Cited by in corpus (4)

• Sensitivity of the decay of entanglement of quantum dot spin qubits to the magnetic field
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Robust fermionic-mode entanglement of a nanoelectronic system in non-Markovian environments
• Perturbative regimes in central spin models