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arXiv 1208.2255cond-mat.quant-gasquant-ph
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隧道耦合凝聚体膨胀时空的量子模拟

Quantum simulation of expanding space-time with tunnel-coupled condensates

Clemens Neuenhahn, Florian Marquardt

摘要:

考虑两个弱相互作用的准一维冷玻色原子凝聚体。事实证明,这些凝聚体之间的隧道耦合的随时间变化与相对相场动力学的一维玩具宇宙的空间膨胀是等价的。这个场的动力学由量子sine-Gordon方程控制。因此,这个类比可以用来“量子模拟”一个标量的动力学,相互作用的量子场在一个扩大的背景。我们讨论了如何在一个可能的实验中观察到加速膨胀过程中量子涨落的冻结。我们还讨论了一个实验方案,研究形成的sine-Gordon呼吸子的相对相位场的量子涨落。

英文摘要:

We consider two weakly interacting quasi-1D condensates of cold bosonic atoms. It turns out that a time-dependent variation of the tunnel-coupling between those condensates is equivalent with the spatial expansion of a one-dimensional toy-Universe with regard to the dynamics of the relative phase field. The dynamics of this field is governed by the quantum sine-Gordon equation. Thus, this analogy could be used to 'quantum simulate' the dynamics of a scalar, interacting quantum field on an expanding background. We discuss, how to observe the freezing out of quantum fluctuations during an accelerating expansion in a possible experiment. We also discuss an experimental protocol to study the formation of sine-Gordon breathers in the relative phase field out of quantum fluctuations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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