Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866915246544781312 |
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| author | Tajima, Hiroyuki Sekino, Yuta Inotani, Daisuke Dohi, Akira Nagataki, Shigehiro Hayata, Tomoya |
| author_facet | Tajima, Hiroyuki Sekino, Yuta Inotani, Daisuke Dohi, Akira Nagataki, Shigehiro Hayata, Tomoya |
| contents | We theoretically investigate non-Hermitian $p$-wave Fermi superfluidity in one-dimensional spin-polarized Fermi gases which is relevant to recent ultracold atomic experiments. Considering an imaginary atom-dimer coupling responsible for the three-body recombination process in the Lindblad formalism, we discuss the stability of the superfluid state against the atomic loss effect. Within the two-channel non-Hermitian BCS-Leggett theory, the atomic loss is characterized by the product of the imaginary atom-dimer coupling and the $p$-wave effective range. Our results indicate that for a given imaginary atom-dimer coupling, a smaller magnitude of the effective ranges of $p$-wave interaction is crucial for reaching the non-Hermitian $p$-wave Fermi superfluid state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15724 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas Tajima, Hiroyuki Sekino, Yuta Inotani, Daisuke Dohi, Akira Nagataki, Shigehiro Hayata, Tomoya Quantum Gases Strongly Correlated Electrons Superconductivity Nuclear Theory Quantum Physics We theoretically investigate non-Hermitian $p$-wave Fermi superfluidity in one-dimensional spin-polarized Fermi gases which is relevant to recent ultracold atomic experiments. Considering an imaginary atom-dimer coupling responsible for the three-body recombination process in the Lindblad formalism, we discuss the stability of the superfluid state against the atomic loss effect. Within the two-channel non-Hermitian BCS-Leggett theory, the atomic loss is characterized by the product of the imaginary atom-dimer coupling and the $p$-wave effective range. Our results indicate that for a given imaginary atom-dimer coupling, a smaller magnitude of the effective ranges of $p$-wave interaction is crucial for reaching the non-Hermitian $p$-wave Fermi superfluid state. |
| title | Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas |
| topic | Quantum Gases Strongly Correlated Electrons Superconductivity Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2312.15724 |