Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits

Abstract

We study the influence of a thermal environment on a nonadiabatic spin-flip driving protocol of spin-orbit qubits. The driving protocol operates by moving the qubit, trapped in a harmonic potential, along a nanowire in the presence of a time-dependent spin-orbit interaction. We consider the harmonic degrees of freedom to be weakly coupled to a thermal bath. We find an analytical expression for the Floquet states and derive the Lindblad equation for a strongly nonadiabatically driven qubit. The Lindblad equation corrects the dynamics of an isolated qubit with Lamb shift terms and a dissipative behavior. Using the Lindblad equation, the influence of a thermal environment on the spin-flip protocol is analyzed.

Extending third quantization with commuting observables: a dissipative spin-boson model

“…Here, σ z is the Pauli matrix for the spin degree of freedom, and terms with α represent, for example, the coupling of the spin to an inhomogeneous magnetic field for the real part of α and the Rashba coupling for the imaginary part [25][26][27]. Thus, in accordance with the previous section, we have…”

“…The results presented provide valuable contributions to understanding the dynamics of open quantum systems and provide a basis for further studies of related physical phenomena in which spin degrees of freedom are coupled with bosonic ones. For example, these findings could be significant for understanding decoherence in spin systems coupled to a bosonic thermal bath and confined in quadratic potential traps [27]. Such studies could provide important insights into the behavior of quantum systems under realistic experimental conditions and pave the way for advances in quantum technology and quantum information processing.…”

“…A recent case is the exactly solvable model of an electron in a driven harmonic oscillator with Rashba coupling [25,26]. The exact solution of this model enables reliable treatment of the system coupled to a thermal bath [27]. It turns out that such a coupling of the time-dependent harmonic operator with spin degrees of freedom generates different Lindblad operators combined with bosonic and spin operators.…”

“…It turns out that such a coupling of the time-dependent harmonic operator with spin degrees of freedom generates different Lindblad operators combined with bosonic and spin operators. The problem can be treated numerically [27], but an analytical approach to such problems is possible, and this is precisely the goal of the present work.…”

Controlling spin without magnetic fields: The Bloch-Rashba rotator

“…[22] a method to achieve this was proposed, where an electron trapped in a local potential was moved along a closed trajectory in space, while the Rashba coupling was varied in time, to obtain the desired spin-rotation. An appealing aspect of this system is that exact analytical solutions can be obtained [23][24][25], allowing its robustness towards gate noise [26] and thermal effects [27] to be assessed.…”