Swapping and entangling hyperfine coupled nuclear spin baths

Abstract

We numerically study the hyperfine induced nuclear spin dynamics in a system of two coupled quantum dots in zero magnetic field. Each of the electron spins is considered to interact with an individual bath of nuclear spins via homogeneous coupling constants (all coupling coefficients being equal). In order to lower the dimension of the problem, the two baths are approximated by two single long spins. We demonstrate that the hyperfine interaction enables to utilize the nuclear baths for quantum information purposes. In particular, we show that it is possible to swap the nuclear ensembles on time scales of seconds and indicate that it might even be possible to fully entangle them. As a key result, it turns out that the larger the baths are, the more useful they become as a resource of quantum information. Interestingly, the nuclear spin dynamics strongly benefits from combining two quantum dots of different geometry to a double dot set up.

6 pages, 7 figures

References in corpus (14)

• 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
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Nuclear Spins in Nanostructures
• Large nuclear Overhauser fields detected in vertically-coupled double 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
• Entanglement generation via a completely mixed nuclear spin bath
• Hyperfine induced spin and entanglement dynamics in Double Quantum Dots: A homogeneous coupling approach
• Binary trees, coproducts, and integrable systems
• Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings

Cited by in corpus (3)

• Theory of box-model hyperfine couplings and transport signatures of long-range nuclear-spin coherence in a quantum-dot spin valve
• Hyperfine induced electron spin and entanglement dynamics in double quantum dots: The case of separate baths
• Perturbative regimes in central spin models