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arXiv 1409.8068cond-mat.quant-gasgr-qc
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作为黑洞激光效应的超流不稳定性

Instability of the superfluid flow as black-hole lasing effect

S. Finazzi, F. Piazza, M. Abad, A. Smerzi, A. Recati

摘要:

我们证明了导致一维超流通过可穿透势垒衰变的不稳定性是由于黑洞激光效应。这种动力学不稳定性是由模式共振在一个有效的空腔形成的两个地平线包围的障碍。层位的位置由$v(x)=c(x)$设置,其中$v(x),c(x)$分别是局部流体速度和声速。我们计算的临界速度分析,并表明,它是唯一确定的地平线配置。在宽势垒的极限下,恢复了类霍金辐射和朗道能量不稳定性起源处的连续谱。

英文摘要:

We show that the instability leading to the decay of the one-dimensional superfluid flow through a penetrable barrier are due to the black-hole lasing effect. This dynamical instability is triggered by modes resonating in an effective cavity formed by two horizons enclosing the barrier. The location of the horizons is set by $v(x)=c(x)$, with $v(x),c(x)$ being the local fluid velocity and sound speed, respectively. We compute the critical velocity analytically and show that it is univocally determined by the horizons configuration. In the limit of broad barriers, the continuous spectrum at the origin of the Hawking-like radiation and of the Landau energetic instability is recovered.

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