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arXiv 2103.00720cond-mat.quant-gas
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具有含时相互作用的强相互作用费米气体的动力学:共形对称的结果

Dynamics of strongly interacting Fermi gases with time-dependent interactions: Consequence of conformal symmetry

Jeff Maki, Shizhong Zhang, Fei Zhou

摘要:

在这封信中,我们调查的影响的时间依赖性,短程相互作用的费米气体的长期膨胀动力学。我们表明,动态的相互作用的影响是由它如何改变下的保角变换,并推导出一个明确的标准的强和非相互作用的近标度不变的量子气体中的时间相关的相互作用。此外,我们表明,它是可能的工程相互作用,引起非指数热化动力学被困费米气体。为了补充对称性分析,我们还进行流体动力学模拟表明,被困气体的转动惯量确实遵循一个普遍的时间依赖性共同确定的共形对称性和随时间变化的散射长度$a(t)$。我们的结果也应该是相关的其他系统的动力学几乎尺度不变,并由非相对论共形对称。

英文摘要:

In this Letter, we investigate the effects of a time-dependent, short-ranged interaction on the long-time expansion dynamics of Fermi gases. We show that the effects of the interaction on the dynamics is dictated by how it changes under a conformal transformation, and derive an explicit criterion for the relevancy of time-dependent interactions in both the strongly and non-interacting nearly scale invariant quantum gases. In addition, we show that it is possible to engineer interactions that give rise to non-exponential thermalization dynamics in trapped Fermi gases. To supplement the symmetry analysis, we also perform hydrodynamic simulations to show that the moment of inertia of the trapped gas indeed follows a universal time-dependence determined jointly by the conformal symmetry and time-dependent scattering length $a(t)$. Our results should also be relevant to the dynamics of other systems that are nearly scale invariant and that are governed by a non-relativistic conformal symmetry.

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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