论文标题
与量子电子波袋对结合电子量子状态的相干激发
Coherent excitation of bound electron quantum state with quantum electron wavepackets
论文作者
论文摘要
我们提出了一个完全量子模型，用于基于自由电子边界谐振相互作用（FEBERI）方案激发绑定电子的激发。在任何初始量子（qubit）状态下，将结合电子建模为量子两级系统（TLS），并将游离电子作为预先形状的量子电子波袋（QEW）表示。如果QEW以光频率为单位或调制，则TLS量子状态可以与多个调制相关的QEW相干控制。在这种情况下，我们根据Schrodinger方程的分析近似解，由于与多粒子梁的相互作用而导致TLS的过渡概率，这相当于使用Born对量子电子波函数的概率解释。我们使用完全量子密度矩阵计算过程来验证分析模型在其有效性范围内的可信度。结果表明，过渡概率可以随着相关QEW的数量而二次增长，理论上 - 表现出完全的Rabi振荡。该研究表明有可能通过使用形状QEWS来设计TLS的量子状态。
We present a fully quantum model for the excitation of a bound electron based on the free-electron bound-electron resonant interaction (FEBERI) scheme. The bound electron is modeled as a quantum two-level system (TLS) at any initial quantum (qubit) state, and the free electron is presented as a pre-shaped quantum electron wavepacket (QEW). In the case that the QEW is short or modulated at optical frequency, the TLS quantum state may be coherently controlled with multiple modulation-correlated QEWs. For this case, we derive the transition probability of the TLS due to interaction with a multi-particle beam based on an analytical approximate solution of the Schrodinger equation that amounts to using Born's probabilistic interpretation of the quantum electron wavefunction. We verify the credibility of the analytical model at its validity ranges using a fully quantum density matrix computation procedure. It is shown that the transition probability can grow quadratically with the number of correlated QEWs, and theoretically - exhibit full Rabi oscillation. The study indicates a possibility of engineering the quantum state of a TLS by utilizing a beam of shaped QEWs.
