Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas

• URL: http://arxiv.org/abs/2312.15724v1
• Date: Mon, 25 Dec 2023 13:21:52 GMT
• Title: Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Authors: Hiroyuki Tajima, Yuta Sekino, Daisuke Inotani, Akira Dohi, Shigehiro Nagataki, Tomoya Hayata
• Abstract summary: We investigate non-Hermitian $p$-wave Fermi superfluidity in one-dimensional spin-polarized Fermi gases. Considering an imaginary atom-dimer coupling, we discuss the stability of the superfluid state against the atomic loss effect.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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