Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit

• URL: http://arxiv.org/abs/2212.11633v1
• Date: Thu, 22 Dec 2022 12:00:17 GMT
• Title: Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Authors: Hiroyuki Tajima, Yuta Sekino, Daisuke Inotani, Akira Dohi, Shigehiro Nagataki, Tomoya Hayata
• Abstract summary: We discuss the non-Hermitian superfluid phase transition in one-dimensional Fermi gases near the $p$-wave Feshbach resonance. We show that the superfluid state is fragile against the two-body loss near the topological phase transition point.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically discuss the non-Hermitian superfluid phase transition in one-dimensional two-component Fermi gases near the $p$-wave Feshbach resonance accompanied by the two-body loss associated with the dipolar relaxation. For the first time we point out that this system gives us an opportunity to explore the interplay among various non-trivial properties such as universal thermodynamics at divergent $p$-wave scattering length, topological phase transition at vanishing chemical potential, and non-Hermitian Bardeen-Cooper-Schrieffer(BCS) to Bose-Einstein condensate (BEC) transition, in a unified manner. In the BCS phase, the loss-induced superfluid-normal transition occurs when the exceptional point appears in the effective non-Hermitian Hamiltonian. In the BEC phase, the diffusive gapless mode can be regarded as a precursor of the instability of the superfluid state. Moreover, we show that the superfluid state is fragile against the two-body loss near the topological phase transition point.

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