Interplay of spin-orbit and hyperfine interactions in dynamical nuclear polarization in semiconductor quantum dots

Abstract

We theoretically study the interplay of spin-orbit and hyperfine interactions in dynamical nuclear polarization in two-electron semiconductor double quantum dots near the singlet $(S)$ - triplet $(T_{+})$ anticrossing. The goal of the scheme under study is to extend the singlet $(S)$ - triplet $(T_0)$ qubit decoherence time $T_2^{\ast }$ by dynamically transferring the polarization from the electron spins to the nuclear spins. This polarization transfer is achieved by cycling the electron spins over the $S-T_{+}$ anticrossing. Here, we investigate, both quantitatively and qualitatively, how this hyperfine mediated dynamical polarization transfer is influenced by the Rashba and Dresselhaus spin-orbit interaction. In addition to $T_2^{\ast }$, we determine the singlet return probability $P_s$, a quantity that can be measured in experiments. Our results suggest that the spin-orbit interaction establishes a mechanism that can polarize the nuclear spins in the opposite direction compared to hyperfine mediated nuclear spin polarization. In materials with relatively strong spin-orbit coupling, this interplay of spin-orbit and hyperfine mediated nuclear spin polarizations prevents any notable increase of the $S-T_0$ qubit decoherence time $T_2^{\ast }$.

10 pages, 11 figures

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Cited by in corpus (13)

• Probing low noise at the MOS interface with a spin-orbit qubit
• Quenching of dynamic nuclear polarization by spin-orbit coupling in GaAs quantum dots
• Spin-orbit Interactions for Singlet-Triplet Qubits in Silicon
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Leakage and sweet spots in triple-quantum-dot spin qubits: A molecular-orbital study
• Low-Error Operation of Spin Qubits with Superexchange Coupling
• Quantum mechanical treatment of large spin baths
• Electron spin-flip correlations due to nuclear dynamics in driven GaAs double dots
• Coherent manipulation of single electron spins with Landau-Zener sweeps
• Spin-orbit signatures in the dynamics of singlet-triplet qubits in double quantum dots
• Spin separation and exchange for quantum dots in the Overhauser field
• Truncated Wigner approximation for the bosonic model of large spin baths
• Fully tunable hyperfine interactions of hole spin qubits in Si and Ge quantum dots