AI 中文总结
研究二维有自旋费米子原子量子系统中电荷和自旋电流的产生与控制，利用含时广义吉布斯系综及Gorini-Kossakowski-Sudarshan-Lindblad主方程形式体系，确定非互易跳跃算符集，实现电流产生、方向大小控制及主导输运机制转变，且该机制对退相噪声鲁棒。
AI 中文摘要
我们研究了在具有破缺空间反演和时间反演对称性的二维有自旋费米子原子量子系统中，通过非互易耗散机制产生和控制电荷与自旋电流。在Gorini-Kossakowski-Sudarshan-Lindblad主方程形式体系内，采用基于含时广义吉布斯系综的方法，在弱耗散耦合 regime 中确定了诱导电荷和自旋电流并控制其方向与大小所需的最小非互易跳跃算符集。发现在存在有限隧穿、Rashba 耦合和磁场时，将两个自旋种类非互易地耦合到不同空间运动方向的跳跃算符联合应用足以产生两种电流。通过调整跳跃算符的非互易程度，可将主导输运机制从自旋转变为电荷。最后，验证了这种非互易电流产生机制对退相噪声的应用具有鲁棒性，即便存在此额外耗散过程，哈密顿量的准粒子模式的稳态占据分布仍非平凡，这是获得非零电流的必要条件。
英文摘要
We investigate the generation and control of both charge and spin currents via nonreciprocal dissipative mechanisms in a two-dimensional spinful fermionic atom quantum system with broken inversion and time-reversal symmetries. Within the Gorini-Kossakowski-Sudarshan-Lindblad master equation formalism and using an approach based on the time-dependent generalized Gibbs ensemble, we identify in the weak dissipative coupling regime the minimal set of nonreciprocal jump operators required to induce charge and spin currents and to control both their direction and magnitude. We find that in the presence of finite tunneling, Rashba coupling and magnetic field, the combine application of two jump operators nonreciprocally coupling each spin species to a different spatial direction of motion is sufficient to generate both types of current. Furthermore, by tuning the degree of nonreciprocity of the jump operators we modify the dominant transport mechanism from spin to charge. Finally, we checked that this nonreciprocal current generation mechanism is robust to the application of dephasing noise as even in the presence of this additional dissipative process the steady-state occupation distributions for the quasiparticle modes of the Hamiltonian remains non-trivial, an essential requirement to obtain non-zero currents.
