Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
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| Format: | Preprint |
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2025
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| _version_ | 1866912810467852288 |
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| author | Nagase, Kenta Takahashi, Hikaru Oshima, Soki Mukaiyama, Takashi |
| author_facet | Nagase, Kenta Takahashi, Hikaru Oshima, Soki Mukaiyama, Takashi |
| contents | We study the dependence of the $p$-wave contact on the Fermi temperature $T_F$ and reduced temperature $T/T_F$ based on the number of closed-channel molecules. From the anisotropic pattern of dissociated molecules, we resolve the narrow $m=0$ and $m=\pm1$ dipolar splitting of the $p$-wave Feshbach resonance in $^6$Li, enabling the independent determination of the contact for all three $m$ components. For each component, we identify a near-resonant scaling with $\sqrt{T_F}$, indicating the contribution of the normalized effective range $k_F R_{\rm{e}}$. In addition, we show that the peak contacts observed near resonance increase as $T/T_F$ is lowered, a trend that is accurately captured by estimates based on the second-order virial expansion. Our results, together with estimates from the $p$-wave virial expansion, provide a route toward a complete understanding of the thermodynamics of resonantly enhanced $p$-wave Fermi gases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_04738 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas Nagase, Kenta Takahashi, Hikaru Oshima, Soki Mukaiyama, Takashi Quantum Gases Atomic Physics We study the dependence of the $p$-wave contact on the Fermi temperature $T_F$ and reduced temperature $T/T_F$ based on the number of closed-channel molecules. From the anisotropic pattern of dissociated molecules, we resolve the narrow $m=0$ and $m=\pm1$ dipolar splitting of the $p$-wave Feshbach resonance in $^6$Li, enabling the independent determination of the contact for all three $m$ components. For each component, we identify a near-resonant scaling with $\sqrt{T_F}$, indicating the contribution of the normalized effective range $k_F R_{\rm{e}}$. In addition, we show that the peak contacts observed near resonance increase as $T/T_F$ is lowered, a trend that is accurately captured by estimates based on the second-order virial expansion. Our results, together with estimates from the $p$-wave virial expansion, provide a route toward a complete understanding of the thermodynamics of resonantly enhanced $p$-wave Fermi gases. |
| title | Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas |
| topic | Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2509.04738 |