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arXiv 2103.16933cond-mat.quant-gas
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在BCS-BEC交叉区具有轨道费什巴赫共振的超冷费米气体的超流性质

Superfluid properties of an ultracold Fermi gas with an orbital Feshbach resonance in the BCS-BEC crossover region

Taro Kamihori, Daichi Kagamihara, Yoji Ohashi

摘要:

研究了具有轨道费什巴赫共振(OFR)的$^{173}$ Yb费米原子双带气体的超流性质。为了描述BCS-BEC交叉区域,我们包括与OFR相关的带间和带内配对相互作用引起的超流波动,通过将Nozières和Schmitt-Rink开发的强耦合理论扩展到超流相变温度以下的双带情况;然而,去除了实验无法达到的深束缚态的影响,以模拟OFR附近的真实$^{173}$ Yb费米气体。我们发现,在上部封闭通道的冷凝分数逐渐变得小于在下部开放通道,作为一个移动从强到弱耦合制度,因为OFR配对机制调谐的相互作用强度,通过调整两个带之间的能量差。然而,即使当封闭通道带的能量远高于开放通道带在弱耦合制度,超流序参量的大小在封闭通道中被发现仍然是可比的,在开放通道。作为其原因,我们指出了由OFR引起的带间相互作用的对隧穿效应。除了这些超流量,我们还研究集体模式,如戈德斯通模式,施密德(希格斯)模式,以及莱格特模式,以澄清他们如何出现在光谱权的对关联函数在每个波段。多带超流费米气体的实现是冷态费米气体物理中的一个关键问题,我们的研究结果将有助于对BCS-BEC交叉区中这类费米超流的基本认识.

英文摘要:

We theoretically investigate superfluid properties of a two-band gas of $^{173}$Yb Fermi atoms with an orbital Feshbach resonance (OFR). To describe the BCS-BEC crossover region, we include superfluid fluctuations caused by inter-band and intra-band pairing interactions associated with OFR, by extending the strong-coupling theory developed by Nozières and Schmitt-Rink to the two-band case below the superfluid phase transition temperature; however, effects of an experimentally inaccessible deep bound state are removed, to model a real $^{173}$Yb Fermi gas near OFR. We show that the condensate fraction in the upper closed channel gradually becomes smaller than that in the lower open channel, as one moves from the strong- to the weak-coupling regime, because the OFR-pairing mechanism tunes the interaction strengths by adjusting the energy difference between the two bands. However, even when the closed-channel band is much higher in energy than the open-channel band in the weak-coupling regime, the magnitude of the superfluid order parameter in the closed channel is found to be still comparable to that in the open channel. As the reason for this, we point out a pair-tunneling effect by the OFR-induced inter-band interaction. Besides these superfluid quantities, we also examine collective modes, such as the Goldstone mode, Schmid (Higgs) mode, as well as Leggett mode, to clarify how they appear in the spectral weights of pair-correlation functions in each band. Since the realization of a multi-band superfluid Fermi gas is a crucial issue in cold Fermi gas physics, our results would contribute to the basic understanding of this type of Fermi superfluid in the BCS-BEC crossover region.

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