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arXiv 0907.0766cond-mat.mes-hall
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含时自旋轨道耦合量子环:拉比振荡、自旋电子薛定谔猫态和电导性质

Quantum rings with time dependent spin-orbit coupling: Rabi oscillations, spintronic Schrodinger-cat states, and conductance properties

Peter Foldi, Mihaly G. Benedict, Orsolya Kalman, F. M. Peeters

摘要:

介观半导体环中的(Rashba型)自旋轨道耦合的强度可以通过外部栅极电压来调节。在这里,我们考虑的情况下,周期性变化的自旋轨道相互作用强度所引起的正弦电压。在具有弱自旋轨道耦合的一维封闭量子环中,出现了拉比振荡。我们发现,初始局域波包的时间演化表现出一系列的崩溃和复苏现象。部分复兴--这在非线性系统中是典型的--被证明对应于沿着环定位在不同空间位置的状态的叠加。这些“自旋薛定谔猫态”周期性地出现,并且与其他物理系统中的对应物类似,它们被发现对环境引起的扰动敏感。与时间相关的自旋输运问题,当引线连接到环,也得到了解决。我们表明,“边带电流”引起的振荡自旋轨道相互作用强度可以成为主导的输出通道,即使在存在温和的热波动和随机散射事件。

英文摘要:

The strength of the (Rashba-type) spin-orbit coupling in mesoscopic semiconductor rings can be tuned with external gate voltages. Here we consider the case of a periodically changing spin-orbit interaction strength as induced by sinusoidal voltages. In a closed one dimensional quantum ring with weak spin-orbit coupling, Rabi oscillations are shown to appear. We find that the time evolution of initially localized wave packets exhibits a series of collapse and revival phenomena. Partial revivals -- that are typical in nonlinear systems -- are shown to correspond to superpositions of states localized at different spatial positions along the ring. These "spintronic Schrodinger-cat sates" appear periodically, and similarly to their counterparts in other physical systems, they are found to be sensitive to environment induced disturbances. The time dependent spin transport problem, when leads are attached to the ring, is also solved. We show that the "sideband currents" induced by the oscillating spin-orbit interaction strength can become the dominant output channel, even in the presence of moderate thermal fluctuations and random scattering events.

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