论文标题

量子位中能量方差的理论

Theory of the Energy Variance in a Quantum Bit

论文作者

Reinisch, Gilbert

论文摘要

我们定义了一个新的量子Hermitian操作员(即能量差异操作员),该操作员仅从古典物理学的能量方差的统计定义中重复。它的期望值产生了能量的标准偏差,围绕后者的平均值。我们通过使用精确的哈密顿描述表明,这种标准偏差是由于通常在旋转波迅速振动中丢弃的高频率振荡所致。我们通过恢复最近一个实验中描述的突然量子跳跃的持续时间来检查当前的理论。

We define a new quantum Hermitian operator (namely, the energy variance operator) which is simply duplicated from the statistical definition of energy variance in classical physics. Its expectation value yields the standard deviation of the energy about the mean value of this latter. We show by use of an exact Hamiltonian description that this standard deviation is due to the high-frequeny energy oscillations which are usually discarded in the rotating wave aproximation. We check the present theory by recovering the duration of an abrupt quantum jump that has been described in a recent experiment.

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