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arXiv quant-ph/9805039quant-ph
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非均匀势场中的尺度退相干

Scale decoherence in inhomogeneous potentials

David A. Meyer

摘要:

有限精度测量将量子系统的希尔伯特空间分解为张量积$H_{coarse} \otimes H_{fine}$。这在数学上等价于划分成系统和环境,形成退相干的舞台,所以我们描述的后果,$H_{fine}$的不可达性的规模退相干。考虑到实验中的重要情况下的谐振子势以及周期性分段常数势,我们表明,尺度退相干发生的非均匀的潜力,并可能解释最近和拟议的实验中观察到的部分退相干的介观叠加的量子态。

英文摘要:

Finite precision measurement factors the Hilbert space of a quantum system into a tensor product $H_{coarse} \otimes H_{fine}$. This is mathematically equivalent to the partition into system and environment which forms the arena for decoherence, so we describe the consequences of the inaccessibility of $H_{fine}$ as scale decoherence. Considering the experimentally important case of a harmonic oscillator potential as well as a periodic piecewise constant potential, we show that scale decoherence occurs for inhomogeneous potentials and may explain part of the decoherence observed in recent and proposed experiments on mesoscopic superpositions of quantum states.

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