Berry phase for a three-dimensional anisotropic quantum dot

Tairong Chen, Wenfang Xie

Zhao-Xian Yu, Zhi-Yong Jiao

Arijit Saha, Yuval Gefen, I. S. Burmistrov +2 more

I. V. Bukanov, E. A. Tolkachev, A. Ya. Tregubovich

Vladimir A. Geyler, A. V. Shorokhov

A three-dimensional anisotropic quantum well placed in an adiabatically precessing uniform magnetic field is considered and an explicit formula for the Berry phase is obtained. To get the Berry phase, a purely algebraic algorithm of reducing a quadratic Hamiltonian to the canonical form via symplectic transformations of the phase space is presented.

Chang‐Yu Hsieh, Alexandre René, Paweł Hawrylak

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 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 neighboring dots. It is explicitly shown that encircling the degeneracy point leads to the accumulation of the geometrical Berry's phase. We show that only the triangular, not the linear, quantum dot molecule allows for the generation of Berry's phase and we discuss a protocol to detect this geometrical phase.