Herzberg Circuit and Berry's Phase in Chirality-based Coded Qubit in a Triangular Triple Quantum Dot

Abstract

We present a theoretical proposal for the Herzberg circuit and controlled accumulation of Berry's phase in a chirality-based coded qubit in a triangular triple quantum dot molecule with one electron spin each. The qubit is encoded in the two degenerate states of a three spin complex with total spin $S=1/2$. Using a Hubbard and Heisenberg model the Herzberg circuit encircling the degeneracy point is realized by adiabatically tuning the successive on-site energies of quantum dots and tunnel couplings across a pair of neighbouring dots. It is explicitly shown that encircling the degeneracy point leads to the accumulation of the geometrical Berrys phase. We show that only triangular but not linear quantum dot molecule allows for the generation of Berry's phase and we discuss a protocol to detect this geometrical phase.

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Cited by in corpus (9)

• Three-electron spin qubits
• Decoherence of an exchange qubit by hyperfine interaction
• Mediated gates between spin qubits
• Magnetic Kondo regimes in a frustrated half-filled trimer
• Bias-induced chiral current and topological blockadein triple quantum dots
• Non-Collinearity in Small Magnetic Cobalt-Benzene Molecules
• Energy spectra of three electrons in SiGe/Si/SiGe laterally coupled triple quantum dots
• Multi-qubit DC gates over an inhomogeneous array of quantum dots
• Circular-polarization sensitive metamaterial based on triple quantum-dot molecules