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Exact solution of qubit decoherence models by a transfer matrix method

机译:传递矩阵法精确解量子比特相干模型

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摘要

We present a method for the solution of the behavior of an ensemble of qubits in a random time-dependent external field. The forward evolution in time is governed by a transfer matrix. The elements of this matrix determine the various decoherence times. The method provides an exact solution in cases where the noise is piecewise constant in time. We show that it applies, for example, to a realistic model of decoherence of electron spins in semiconductors. Results are obtained for the nonperturbative regimes of the models, and we see a transition from weak relaxation to overdamped behavior as a function of noise anisotropy.
机译:我们提出了一种解决随机时间相关外部场中的量子比特集合行为的方法。时间的前向演化由传输矩阵控制。该矩阵的元素确定各种退相干时间。在噪声在时间上分段恒定的情况下,该方法提供了一种精确的解决方案。我们证明了它适用于例如半导体中电子自旋退相干的现实模型。从模型的非摄动状态获得了结果,并且我们看到了从弱松弛到过度阻尼行为的转变,这是噪声各向异性的函数。

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